EP1933950B1 - Series of underwater vision articles - Google Patents

Description

The present invention relates to a range of articles of sub-aquatic vision. It finds particular application in the field of articles such as swimming goggles, swimming masks or diving.

Generally, a product is offered for sale in a single size or in several sizes.

When offered in a single size, it is evident that the product will not necessarily be suitable for any user. Indeed, size, whatever its definition, will generally be statistically determined for adaptation to the greatest number. But the satisfaction rate, related to the rate of adaptation, will be relatively low, given the different possible morphotypes, and morphological differences within the same morphotype.

The problem is particularly delicate for products such as sub-aquatic vision items, such as swimming goggles, swim masks or diving. For such products, the question of comfort and tightness is paramount. It is indeed extremely difficult to design a product in a single size that offers a level of comfort and sealing satisfactory for a large number of people, as the morphological differences in the face can be important from one person to another .

In such a situation, to improve comfort, we can for example add to the product a foam seal that will best fit the face of the user to compensate for the maladjustment of the single size. But the problem will be the low level of tightness due to the type of joint.

Conversely, to ensure a good seal, it may be added to the product a silicone seal, the latter providing a level of sealing greater than that provided by a foam seal. But the problem will be then the discomfort for a certain number of users for whom the unique size is not adapted.

Sub-aquatic vision items are sometimes available in two sizes, one for children and the other for adults, which allows for variation in facial width. But this distinction between two categories of morphotypes (child and adult) is still not enough to make the product suitable for a maximum number of users. Thus, the product will not be sufficiently adapted to a large number of children whose morphotype does not correspond to that standardized of the single child size of the product. The same goes for the single adult size. In fact, the satisfaction rate, related to the rate of adaptation, will remain low, always taking into account the different possible morphotypes, and the morphological differences within the same morphotype.

It is therefore understandable that a product offered to users in several sizes would satisfy a greater number. In addition, dimensional parameters of the products adapted to one or more morphotypes, interconnected by relationships independent of this morphotype, would make it possible to characterize a range of products with a high coverage rate.

The document WO 2007/017592 A1 proposes a system and a cutting process, as well as a method of manufacturing a cutting system. These may be sub-aquatic vision items.

The problem then is to have a range of sub-aquatic vision items to obtain a high morphotype coverage rate, so as to be able to offer each individual size, among a set of sizes possible, which is the most suitable, from a dimensional definition independent of this size.

The object of the invention is therefore to provide a solution to the aforementioned problems among other problems.

The Applicant, from anthropometric and statistical studies, and thus managed to define the characteristics of a range of sub-aquatic vision articles, in which, whatever actually the size of the article, some dimensional parameters of this article, corresponding indirectly to morphological parameters of the face of an individual, are connected to at least one main dimensional parameter by an arithmetic relation based on constant numerical coefficients whatever the size of the article.

• P₁ : point le plus bas de l'arête interne ou externe de la zone de contact gauche,
• P₂ : point le plus à gauche de l'arête interne ou externe de la zone de contact gauche,
• P₃ : point le plus bas de l'arête interne ou externe de la zone de contact droite,
• P₄ : point le plus à droite de l'arête interne ou externe de la zone de contact droite.
  De façon caractéristique, quelle que soit la taille des articles :
• le rapport entre PP₂,₄ et PP_1,3 est constant à 5 % près, de préférence à 3 % près,
  et/ou
• le rapport entre d'une part PP_2,4 plus une constante prédéfinie à 5 % près, de préférence à 3 % près, et d'autre part PP_1,2, est constant à 5 % près, de préférence à 3 % près,

où PP_i,j est la distance entre P_i et P_j, quels que soient i et j.The invention thus relates to a range of sub-aquatic vision articles, comprising several articles of different sizes, these articles comprising a straight optical element itself having a straight sealing element intended to come into contact, by its right contact zone, with the face of a person, and a left optical element itself having a left sealing element intended to come into contact, by its left contact zone, with the face of a person, these Articles further comprising the following characteristic points, considering the right and left optical elements laid flat on the same support plane by their side opposite to the right and left contact areas of the right and left sealing elements:

• P ₁ : the lowest point of the inner or outer edge of the left contact zone,
• P ₂ : leftmost point of the inner or outer edge of the left contact zone,
• P ₃ : lowest point of the inner or outer edge of the right contact zone,
• P ₄ : rightmost point of the inner or outer edge of the right contact zone.
  In a typical way, whatever the size of the articles:
• the ratio between PP ₂ , ₄ and PP _1.3 is constant to within 5%, preferably to within 3%,
  and or
• the ratio between, on the one hand, PP _2,4 plus a constant predefined to within 5%, preferably to within 3%, and on the other hand PP _1,2 , is constant to within 5%, preferably to within 3% ,

where PP _{i, j} is the distance between P _i and P _j , whatever are i and j.

Thus, such a range of sub-aquatic vision items allows to obtain a high coverage rate of morphotype, so as to be able to offer each individual size, among a set of possible sizes, which is most suitable, from a dimensional definition independent of this size, since there is a constant relationship between at least one important parameter and one main parameter, namely the parameter PP _2.4 which is directly related to the width of the person's face intended to carry the article.

In a first variant embodiment, the articles are swimming goggles, and the article range is characterized in that, irrespective of the size of said articles, the ratio between PP _2.4 and PP _1.3 is equal to 1.7428 at 5%, preferably to within 3%, and / or the ratio of PP _{2.4 to} PP _1.2 is 3.4722 to within 5%, preferably within 3%.

In combination with the primary object of the invention presented above, always in the case where the articles are swimming goggles, and possibly also in combination with the first variant presented above, the range of articles can be characterized in the manner presented below.

• P₅ : point le plus à droite de l'arête interne de la zone de contact gauche,
• P₆ : point à l'intersection de la portion supérieure de l'arête interne de la zone de contact gauche avec l'axe passant par le point P₁ et perpendiculaire au segment [P₂ ; P₄],
• P₇ : point le plus à gauche de l'arête interne de la zone de contact droite,
• P₈ : point au milieu de l'arête inférieure du pont reliant l'élément optique droit à l'élément optique gauche,
• P₉ : point au milieu de l'arête supérieure du pont.

The articles comprise, in addition to the points P ₁ , P ₂ , P ₃ , and P ₄ , the following characteristic points:

• P ₅ : rightmost point of the inner edge of the left contact zone,
• P ₆ : point at the intersection of the upper portion of the inner edge of the left contact zone with the axis passing through the point P ₁ and perpendicular to the segment [P ₂ ; P ₄ ],
• P ₇ : leftmost point of the inner edge of the right contact zone,
• P ₈ : point in the middle of the lower edge of the bridge connecting the right optical element to the left optical element,
• P ₉ : point in the middle of the upper edge of the bridge.

et/ou ${\mathrm{PP}}_{2,6}=a_{2,6}^{2,4}\times {\mathrm{PP}}_{2,4}+b_{2,6}^{2,4},$

et/ou ${\mathrm{PP}}_{5,6}=a_{5,6}^{1,6}\times {\mathrm{PP}}_{1,6}+b_{1,6}^{5,6},$

et/ou ${\mathrm{PP}}_{5,8}=a_{5,8}^{5,7}\times {\mathrm{PP}}_{5,7}+b_{5,8}^{5,7},$

et/ou PP_8,9 = b _8,9,
où PP_i,j est la distance entre P_i et P_j, quels que soient i et j, et $a_{1,5}^{1,6},$

$a_{2,6}^{2,4},$

$b_{2,6}^{2,4},$

, $a_{5,6}^{1,6},$

, $b_{1,6}^{5,6},$

, $a_{5,8}^{5,7},$

, $b_{5,8}^{5,7}$

et b_8,9 sont des nombres réels prédéfinis constants à 5 %, de préférence à 3 % près, quelle que soit la taille des articles.The range is then characterized in that, irrespective of the size of the articles, one or more of the following relationships are verified: ${\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,5}={\mathrm{at}}_{1,5}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6},$

and or ${\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,6}={\mathrm{at}}_{2,6}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{2,6}^{2,4},$

and or ${\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,6}={\mathrm{at}}_{5,6}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,6}^{5,6},$

and or ${\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="PP"\; filenames="imgf0001.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,8}={\mathrm{at}}_{5,8}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7}+{\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{5,8}^{5,7},$

and / or PP _8.9 = b _8.9 ,
where PP _{i, j} is the distance between P _i and P _j , whatever i and j, and ${\mathrm{at}}_{1,5}^{1,6},$

${\mathrm{at}}_{2,6}^{2,4},$

${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{2,6}^{2,4},$

, ${\mathrm{at}}_{5,6}^{1,6},$

, ${\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,6}^{5,6},$

, ${\mathrm{at}}_{5,8}^{5,7},$

, ${\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{5,8}^{5,7}$

and b _8.9 are predefined real numbers constant at 5%, preferably within 3%, irrespective of the size of the articles.

et/ou $a_{2,6}^{2,4}=0.2450,$

, et/ou $b_{2,6}^{2,4}=4.2,$

et/ou $a_{5,6}^{1,6}=0.3088,$

et/ou $b_{1,6}^{5,6}=15.7,$

et/ou $a_{5,8}^{5,7}=0.3874,$

et/ou $b_{5,8}^{5,7}=15.3,$

et/ou b _8,9 = 10, quelle que soit la taille des articles, ces valeurs étant définies à 5 % près, de préférence à 3 % près.Then, preferably, the values of this or these real numbers may be the following: ${\mathrm{at}}_{1,5}^{1,6}=0.8745,$

and or ${\mathrm{at}}_{2,6}^{2,4}=0.2450,$

, and or ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{2,6}^{2,4}=4.2,$

and or ${\mathrm{at}}_{5,6}^{1,6}=0.3088,$

and or ${\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,6}^{5,6}=15.7,$

and or ${\mathrm{at}}_{5,8}^{5,7}=0.3874,$

and or ${\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{5,8}^{5,7}=15.3,$

and / or b _8.9 = 10, regardless of the size of the articles, these values being defined to within 5%, preferably to within 3%.

dans les relations du type $\mathrm{PPi},\mathrm{j}=a_{i,j}^{k,l}\times \mathrm{PPk},\mathrm{l}=b_{i,j}^{k,l}$

sont valables pour des distances mesurées en mm uniquement. Quant aux valeurs données dans cette description pour les coefficients $a_{i,j}^{k,l}$

dans les relations du type ci-dessus, elles sont bien sûr indépendantes de l'unité de mesure utilisée pour les distances.Throughout the present description, the distances PPi, j are expressed in mm. Thus, the values given in this description for the coefficients $b_{i,j}^{k,l}$

in type relationships $\mathrm{PPi},\mathrm{j}={\mathrm{at}}_{i,j}^{k,l}\times \mathrm{PPK},\mathrm{l}=b_{i,j}^{k,l}$

are valid for distances measured in mm only. As for the values given in this description for the coefficients ${\mathrm{at}}_{i,j}^{k,l}$

in relations of the above type, they are of course independent of the unit of measure used for the distances.

In a second variant, the articles being swimming masks, the article range is characterized in that, irrespective of the size of said articles, the ratio between PP _2,4 and PP _1,3 is equal to 2.6860 to 5. near%, preferably to within 3%, and / or the ratio between firstly PP _2,4 less the constant 44.0 defined to within 5%, preferably to within 3%, and secondly PP _1.2 is equal to 1.3723 at 5%, preferably to 3%.

Here again, the distances PPi, j being expressed in mm, the constant value of -44.0 presented above is valid for distances measured in mm only.

In combination with the primary object of the invention presented above, still in the case where the articles are swimming masks, and possibly also in combination with the second variant presented above, the range of articles can be characterized in the manner presented below.

The articles have an axis of symmetry between the right and left optics, and the right and left contact zones meet on either side of this axis of symmetry in a medial contact zone, the right and left optical elements being connected. by a bridge.

• P₅ : point à l'intersection de la portion supérieure de l'arête externe de la zone de contact gauche avec l'axe passant par le point P₁ et perpendiculaire au segment [P₂; P₄],
• P₆ : point à l'intersection de la portion supérieure de l'arête externe de la zone de contact droite avec l'axe passant par le point P₃ et perpendiculaire au segment [P₂ ; P₄],
• P₇ : point à l'intersection de l'axe de symétrie avec l'arête externe inférieure de la zone de contact médiane,
• P₈ point au milieu de l'arête inférieure du pont, projeté sur la zone de contact médiane,
• P₉: point au milieu de l'arête supérieure du pont, projeté sur la zone de contact médiane,
• P₁₀ : point à l'intersection de l'axe de symétrie avec l'arête externe supérieure de la zone de contact médiane,

The articles comprise, in addition to the points P ₁ , P ₂ , P ₃ , and P ₄ , the following characteristic points:

• P ₅ : point at the intersection of the upper portion of the outer edge of the left contact zone with the axis passing through the point P ₁ and perpendicular to the segment [P ₂ ; P ₄ ],
• P ₆ : point at the intersection of the upper portion of the outer edge of the right contact zone with the axis passing through the point P ₃ and perpendicular to the segment [P ₂ ; P ₄ ],
• P ₇ : point at the intersection of the axis of symmetry with the lower outer edge of the medial contact zone,
• P ₈ point in the middle of the lower edge of the bridge, projected on the median contact area,
• P ₉ : point in the middle of the upper edge of the bridge, projected on the median contact zone,
• P ₁₀ : point at the intersection of the axis of symmetry with the upper outer edge of the medial contact zone,

et/ou ${\mathrm{PP}}_{6,9}=a_{6,9}^{1,5}\times {\mathrm{PP}}_{1,5},$

et/ou ${\mathrm{PP}}_{1,7}=a_{1,7}^{1,5}\times {\mathrm{PP}}_{1,5},$

et/ou ${\mathrm{PP}}_{8,9}=a_{8,9}^{2,4}\times {\mathrm{PP}}_{2,4}+b_{8,9}^{2,4},$

et/ou ${\mathrm{PP}}_{7,8}=a_{7,8}^{2,4}\times {\mathrm{PP}}_{2,4}+b_{7,8}^{2,4},$

et/ou ${\mathrm{PP}}_{5,8}=a_{5,8}^{1,5}\times {\mathrm{PP}}_{1,5}+b_{5,8}^{1,5},$

et/ou ${\mathrm{PP}}_{1,8}=a_{1,8}^{1,5}\times {\mathrm{PP}}_{1,5}+b_{1,8}^{1,5},$

et/ou ${\mathrm{PP}}_{9,10}=a_{9,10}^{1,5}\times {\mathrm{PP}}_{1,5}+b_{9,10}^{1,5},$

où PP_i,j est la distance entre P_i et P_j, quels que soient i et j, et $a_{2,5}^{2,4},$

$a_{6,9}^{1,5},$

$a_{1,7}^{1,5},$

$a_{8,9}^{2,4},$

$b_{8,9}^{2,4},$

$a_{7,8}^{2,4},$

$b_{7,8}^{2,4},$

$b_{5,8}^{1,5},$

$b_{5,8}^{1,5},$

$a_{1,8}^{1,5},$

$b_{1,9}^{1,5},$

$a_{9,10}^{1,5},$

et $b_{9,10}^{1,5}$

sont des nombres réels prédéfinis constants à 5 %, de préférence à 3 % près, quelle que soit la taille desdits articles.The range is then characterized in that, irrespective of the size of the articles, one or more of the following relationships are verified: ${\mathrm{PP}}_{2,5}={\mathrm{at}}_{2,5}^{2,4}\times {\mathrm{PP}}_{2,4},$

and or ${\mathrm{PP}}_{6,9}={\mathrm{at}}_{6,9}^{1,5}\times {\mathrm{PP}}_{1,5},$

and or ${\mathrm{PP}}_{1,7}={\mathrm{at}}_{1,7}^{1,5}\times {\mathrm{PP}}_{1,5},$

and or ${\mathrm{PP}}_{8,9}={\mathrm{at}}_{8,9}^{2,4}\times {\mathrm{PP}}_{2,4}+b_{8,9}^{2,4},$

and or ${\mathrm{PP}}_{7,8}={\mathrm{at}}_{7,8}^{2,4}\times {\mathrm{PP}}_{2,4}+b_{7,8}^{2,4},$

and or ${\mathrm{PP}}_{5,8}={\mathrm{at}}_{5,8}^{1,5}\times {\mathrm{PP}}_{1,5}+b_{5,8}^{1,5},$

and or ${\mathrm{PP}}_{1,8}={\mathrm{at}}_{1,8}^{1,5}\times {\mathrm{PP}}_{1,5}+b_{1,8}^{1,5},$

and or ${\mathrm{PP}}_{9,10}={\mathrm{at}}_{9,10}^{1,5}\times {\mathrm{PP}}_{1,5}+b_{9,10}^{1,5},$

where PP _{i, j} is the distance between P _i and P _j , whatever i and j, and ${\mathrm{at}}_{2,5}^{2,4},$

${\mathrm{at}}_{6,9}^{1,5},$

${\mathrm{at}}_{1,7}^{1,5},$

${\mathrm{at}}_{8,9}^{2,4},$

$b_{8,9}^{2,4},$

${\mathrm{at}}_{7,8}^{2,4},$

$b_{7,8}^{2,4},$

$b_{5,8}^{1,5},$

$b_{5,8}^{1,5},$

${\mathrm{at}}_{1,8}^{1,5},$

$b_{1,9}^{1,5},$

${\mathrm{at}}_{9,10}^{1,5},$

and $b_{9,10}^{1,5}$

are predefined real numbers constant at 5%, preferably within 3%, irrespective of the size of said articles.

et/ou $a_{6,9}^{1,5}=0.4938,$

et/ou $a_{1,7}^{1,5}=$

$0.5777,$

et/ou $a_{8,9}^{2,4}=0.2000,$

et/ou $b_{8,9}^{2,4}=-10,$

et/ou $a_{7,8}^{2,4}=0.1333,$

et/ou $b_{7,8}^{2,4}=5.9,$

et/ou $a_{5,8}^{1,5}=0.3792,$

et/ou $b_{5,8}^{1,5}=16.5,$

et/ou $a_{1,8}^{1,5}=0.7050,$

et/ou $b_{1,8}^{1,5}=-1,$

et/ou $a_{9,10}^{1,5}=0.4073,$

et/ou $b_{9,10}^{1,5}=-8.2,$

quelle que soit la taille des articles, ces valeurs étant définies à 5 % près, de préférence à 3 % près.Then, preferably, the values of this or these real numbers may be the following: ${\mathrm{at}}_{2,5}^{2,4}=0.4365,$

and or ${\mathrm{at}}_{6,9}^{1,5}=0.4938,$

and or ${\mathrm{at}}_{1,7}^{1,5}=$

$0.5777,$

and or ${\mathrm{at}}_{8,9}^{2,4}=0.2000,$

and or ${\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout>}}_{8,9}^{2,4}=-10,$

and or ${\mathrm{at}}_{7,8}^{2,4}=0.1333,$

and or ${\mathrm{<figure-callout\; id="7"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{7,8}^{2,4}=5.9,$

and or ${\mathrm{at}}_{5,8}^{1,5}=0.3792,$

and or ${\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{5,8}^{1,5}=16.5,$

and or ${\mathrm{at}}_{1,8}^{1,5}=0.7050,$

and or ${\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,8}^{1,5}=-1,$

and or ${\mathrm{at}}_{9,10}^{1,5}=0.4073,$

and or ${\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,10}^{1,5}=-8.2,$

regardless of the size of the articles, these values being defined to within 5%, preferably to 3%.

Finally, in a third variant, the articles being diving masks, the article range is characterized in that, irrespective of the size of said articles, the ratio between PP _2,4 and PP _1,3 is equal to 1.7562 to within 5%, preferably to within 3%, and / or the ratio between PP ₂ , ₄ and PP _1,2 is equal to 1.6861 to 5%, preferably to 3%.

In combination with the primary object of the invention presented above, still in the case where the articles are diving masks, and possibly also in combination with the third variant presented above, the range of articles can be characterized in the manner presented below.

The articles have an axis of symmetry between the right and left optics, and the right and left contact zones meet on either side of this axis of symmetry in a medial contact zone, this middle contact area having a footprint for the nose.

• P₉: point à l'intersection de l'axe de symétrie avec le sommet du contour de l'empreinte pour le nez,
• P₅ : point situé sur le côté gauche du contour de l'empreinte pour le nez, à 4 cm du point P₉,
• P₆ point à l'intersection de la portion supérieure de l'arête externe de la zone de contact gauche avec l'axe passant par le point P₁ et perpendiculaire au segment [P₂ ; P₄],
• P₇ : point situé sur le côté droit du contour de l'empreinte pour le nez, à 4 cm du point P₉,
• P₈ : point le plus profond de l'empreinte pour le nez,
• P₁₀ point à l'intersection de l'axe de symétrie avec l'arête interne de la partie supérieure de la zone de contact médiane,
• P₁₁: point à l'intersection de l'axe de symétrie avec l'arête externe de la partie supérieure de la zone de contact médiane,
• P₁₂ : point à l'intersection de l'axe de symétrie avec l'arête externe de la partie inférieure de là zone de contact médiane,
• P₁₃: point à l'intersection de l'axe de symétrie avec l'arête interne de la partie inférieure de la zone de contact médiane.
  La gamme est alors caractérisée en ce que, quelle que soit la taille des articles, une ou plusieurs des relations suivantes sont vérifiées : ${\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{2,9}=a_{2,9}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4},$
  
  et/ou ${\mathrm{PP}}_{}$${}_{1,13}=a_{1,13}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7},$
  
  
  et/ou PP_5,9 = b _5,9 et/ou ${\mathrm{PP}}_{}$${}_{8,9}=a_{8,9}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6},$
  
  
  et/ou ${\mathrm{PP}}_{}$${}_{9,13}=a_{9,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6},$
  
  
  et/ou ${\mathrm{PP}}_{}$${}_{}$${}_{8,13}=a_{8,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+a_{8,13}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+a_{8,13}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7}+{\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{8,13},$
  
  
  et/ou ${\mathrm{PP}}_{}$${}_{}$${}_{12,13}=a_{12,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+a_{12,13}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+a_{12,13}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7}+{\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{12,13},$
  
  
  et/ou ${\mathrm{PP}}_{}$${}_{9,12}=a_{9,12}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,12}^{1,6},$
  
  et/ou ${\mathrm{PP}}_{1,9}=a_{1,9}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+b_{1,9}^{1,6},$
  
  
  et/ou ${\mathrm{PP}}_{}$${}_{6,9}=a_{6,9}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{6,9}^{2,4},$
  
  et/ou ${\mathrm{PP}}_{}$${}_{}$${}_{11,13}=a_{11,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="11"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{11,13}^{1,6},$
  
  
  et/ou ${\mathrm{PP}}_{}$${}_{}$${}_{10,13}=a_{10,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{10,13}^{1,6},$
  

où PP_i,j est la distance entre P_i et P_j, quels que soient i et j, et $a_{2,9}^{2,4},$

$a_{1,13}^{5,7},$

${\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{5,9},$

$a_{8,9}^{1,6},$

$a_{9,13}^{1,6},$

$a_{8,13}^{1,6},$

$a_{8,13}^{2,4},$

$a_{8,13}^{5,7},$

${\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{8,13},$

$a_{12,13}^{1,6},$

$a_{12,13}^{2,4},$

$a_{12,13}^{5,7},$

${\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{12,13},$

$a_{9,12}^{1,6},$

${\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,12}^{1,6},$

$a_{1,9}^{1,6},$

$b_{1,9}^{1,6},$

$a_{6,9}^{2,4},$

${\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{6,9}^{2,4},$

$a_{11,13}^{1,6},$

${\mathrm{<figure-callout\; id="11"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{11,13}^{1,6},$

$a_{10,13}^{1,6},$

, et ${\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{10,13}^{1,6}$

sont des nombres réels prédéfinis constants à 5 %, de préférence à 3 % près, quelle que soit la taille des articles.The articles comprise, in addition to the points P ₁ , P ₂ , P ₃ , and P ₄ , the following characteristic points:

• P ₉ : point at the intersection of the axis of symmetry with the vertex of the contour of the impression for the nose,
• P ₅ : point on the left side of the outline of the impression for the nose, 4 cm from point P ₉ ,
• P ₆ at the intersection of the upper portion of the outer edge of the left contact zone with the axis passing through the point P ₁ and perpendicular to the segment [P ₂ ; P ₄ ],
• P ₇ : point on the right side of the contour of the impression for the nose, 4 cm from point P ₉ ,
• P ₈ : the deepest point of the impression for the nose,
• P ₁₀ point at the intersection of the axis of symmetry with the inner edge of the upper part of the median contact zone,
• P ₁₁ : point at the intersection of the axis of symmetry with the outer edge of the upper part of the median contact zone,
• P ₁₂ : point at the intersection of the axis of symmetry with the outer edge of the lower part of the medial contact zone,
• P ₁₃ : point at the intersection of the axis of symmetry with the inner edge of the lower part of the medial contact zone.
  The range is then characterized in that, irrespective of the size of the articles, one or more of the following relationships are verified: ${\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{2,9}={\mathrm{at}}_{2,9}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4},$
  
  and or ${\mathrm{<figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,13}={\mathrm{at}}_{1,13}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7},$
  
  
  and / or PP _5.9 = b _5.9 and / or ${\mathrm{<figure-callout\; id="8"\; label="PP"\; filenames="imgf0001.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{8,9}={\mathrm{at}}_{8,9}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6},$
  
  
  and or ${\mathrm{<figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{9,13}={\mathrm{at}}_{9,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6},$
  
  
  and or ${\mathrm{<figure-callout\; id="8"\; label="PP"\; filenames="imgf0001.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{8,13}={\mathrm{at}}_{8,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{at}}_{8,13}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{at}}_{8,13}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7}+{\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{8,13},$
  
  
  and or ${\mathrm{<figure-callout\; id="12"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{12,13}={\mathrm{at}}_{12,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{at}}_{12,13}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{at}}_{12,13}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7}+{\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{12,13},$
  
  
  and or ${\mathrm{<figure-callout\; id="12"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{9,12}={\mathrm{at}}_{9,12}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,12}^{1,6},$
  
  and or ${\mathrm{PP}}_{1,9}={\mathrm{at}}_{1,9}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+b_{1,9}^{1,6},$
  
  
  and or ${\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{6,9}={\mathrm{at}}_{6,9}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{6,9}^{2,4},$
  
  and or ${\mathrm{<figure-callout\; id="11"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{11,13}={\mathrm{at}}_{11,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="11"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{11,13}^{1,6},$
  
  
  and or ${\mathrm{<figure-callout\; id="10"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{10,13}={\mathrm{at}}_{10,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{10,13}^{1,6},$
  

where PP _{i, j} is the distance between P _i and P _j , whatever i and j, and ${\mathrm{at}}_{2,9}^{2,4},$

${\mathrm{at}}_{1,13}^{5,7},$

${\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{5,9},$

${\mathrm{at}}_{8,9}^{1,6},$

${\mathrm{at}}_{9,13}^{1,6},$

${\mathrm{at}}_{8,13}^{1,6},$

${\mathrm{at}}_{8,13}^{2,4},$

${\mathrm{at}}_{8,13}^{5,7},$

${\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{8,13},$

${\mathrm{at}}_{12,13}^{1,6},$

${\mathrm{at}}_{12,13}^{2,4},$

${\mathrm{at}}_{12,13}^{5,7},$

${\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{12,13},$

${\mathrm{at}}_{9,12}^{1,6},$

${\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,12}^{1,6},$

${\mathrm{at}}_{1,9}^{1,6},$

$b_{1,9}^{1,6},$

${\mathrm{at}}_{6,9}^{2,4},$

${\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{6,9}^{2,4},$

${\mathrm{at}}_{11,13}^{1,6},$

${\mathrm{<figure-callout\; id="11"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{11,13}^{1,6},$

${\mathrm{at}}_{10,13}^{1,6},$

, and ${\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{10,13}^{1,6}$

are predefined real numbers that are constant at 5%, preferably within 3%, regardless of the size of the articles.

et/ou $a_{1,13}^{5,7}=1.2085,$

et/ou b _5,9 = 40 et/ou $a_{8,9}^{1,6}=0.5690,$

et/ou $a_{9,13}^{1,6}=0.5534,$

et/ou $a_{8,13}^{1,6}=0.1770,$

et/ou $a_{8,13}^{2,4}=0.2005,$

et/ou $a_{8,13}^{5,7}=-0.3168,$

et/ou b_8,13 = -4.6, et/ou $a_{12,13}^{1,6}=0.0487,$

et/ou $a_{12,13}^{2,4}=0.0552,$

et/ou $a_{12,13}^{5,7}=-0.0872,$

et/ou b _12,13 = -1.3, et/ou $a_{9,12}^{1,6}=0.5796,$

et/ou $b_{9,12}^{1,6}=4.4,$

et/ou $a_{1,9}^{1,6}=0.5480,$

et/ou $b_{1,9}^{1,6}=24.6,$

et/ou $a_{6,9}^{2,4}=0.4813,$

et/ou $b_{6,9}^{2,4}=-1.5,$

et/ou $a_{11,13}^{1,6}=$

$0.8781,$

et/ou $b_{11,13}^{1,6}=6.4,$

et/ou $a_{10,13}^{1,6}=0.7316,$

et/ou $b_{10,13}^{1,6}=10.3,$

quelle que soit la taille des articles, ces valeurs étant définies à 5 % près, de préférence à 3 % près.Then, preferably, the values of this or these real numbers may be the following: ${\mathrm{at}}_{2,9}^{2,4}=0.6926,$

and or ${\mathrm{at}}_{1,13}^{5,7}=1.2085,$

and / or b _5.9 = 40 and / or ${\mathrm{at}}_{8,9}^{1,6}=0.5690,$

and or ${\mathrm{at}}_{9,13}^{1,6}=0.5534,$

and or ${\mathrm{at}}_{8,13}^{1,6}=0.1770,$

and or ${\mathrm{at}}_{8,13}^{2,4}=0.2005,$

and or ${\mathrm{at}}_{8,13}^{5,7}=-0.3168,$

and / or b _8,13 = -4.6, and / or ${\mathrm{at}}_{12,13}^{1,6}=0.0487,$

and or ${\mathrm{at}}_{12,13}^{2,4}=0.0552,$

and or ${\mathrm{at}}_{12,13}^{5,7}=-0.0872,$

and / or b _12,13 = -1.3, and / or ${\mathrm{at}}_{9,12}^{1,6}=0.5796,$

and or $b_{9,12}^{1,6}=4.4,$

and or ${\mathrm{at}}_{1,9}^{1,6}=0.5480,$

and or $b_{1,9}^{1,6}=24.6,$

and or ${\mathrm{at}}_{6,9}^{2,4}=0.4813,$

and or $b_{6,9}^{2,4}=-1.5,$

and or ${\mathrm{at}}_{11,13}^{1,6}=$

$0.8781,$

and or $b_{11,13}^{1,6}=6.4,$

and or ${\mathrm{at}}_{10,13}^{1,6}=0.7316,$

and or $b_{10,13}^{1,6}=10.3,$

regardless of the size of the articles, these values being defined to within 5%, preferably to 3%.

• figure 1 : représente schématiquement un article d'une gamme de l'invention dans une première variante,
• figure 2 : représente schématiquement un article d'une gamme de l'invention dans une deuxième variante,
• figure 3 : représente schématiquement un article d'une gamme de l'invention dans une troisième variante,

Other features and advantages of the invention will appear more clearly and completely on reading the following description of the preferred embodiments, which are given by way of non-limiting examples and with reference to the following appended drawings.

• figure 1 : schematically represents an article of a range of the invention in a first variant,
• figure 2 : schematically represents an article of a range of the invention in a second variant,
• figure 3 : schematically represents an article of a range of the invention in a third variant,

The figure 1 schematically represents an article of a range of the invention in a first variant, wherein the article is more precisely of the type swimming goggles.

The article thus comprises two optical elements: a right optical element 1 and a left optical element 3. Each optical element comprises a sealing element and an optical part itself, generally made of translucent plastic material.

Thus, the right optical element 1 comprises an optical part which can decompose into a main plane element 20 and a lateral part 21. The right optical element 1 also comprises, as mentioned above, a right sealing element by silicone example, which itself comprises a contact zone 2 by which this right sealing element comes into contact with the face of a person and possibly a side portion 2 'by which this right sealing element joins the part lateral optics 21.

In the same way, the left optical element 3 comprises an optical part strictly speaking, generally of plastic material, which can decompose into a plane main element 22 and a lateral part 23. As mentioned above, the optical element left 3 also comprises a left sealing element, for example silicone, which itself comprises a left contact zone 4 by which this left sealing member comes into contact with the face of a person and possibly a lateral part 4 'by which this left sealing element joins the lateral optical part 23.

The right contact zone of the optical element 1 comprises an inner edge 7 and an outer edge 8. Likewise, the left contact zone 4 of the left sealing element of the left optical element 3 comprises an internal edge 5 and an outer edge 6.

The right optical element 1 and the left optical element 3 are optionally connected by a bridge 9 whose upper edge is then referenced 10 and the lower edge is referenced 11.

The swimming goggles are thus represented with their right and left optical elements, 1 and 3, laid flat on the same support plane by their optical parts 20 and 22, that is to say by their opposite sides to the sides of the left and right contact areas, 2 and 4 , right and left sealing elements.

By tailors, the article has an axis of symmetry A passing through the respective medias of the lower 11 and upper 10 edges of the bridge 9.

• P₁ correspond au point le plus bas de l'arête interne 5 de la zone de contact gauche 4,
• P₂ : correspond au point le plus à gauche de l'arête interne 5 de la zone de contact gauche 4,
• P₃: correspond au point le plus bas de l'arête interne 7 de la zone de contact droite 2,
• P₄ : correspond au point le plus à droite de l'arête interne 7 de la zone de contact droite 2.

These swimming goggles have the following characteristic points, whose position is schematized on the figure 1 :

• P ₁ corresponds to the lowest point of the inner edge 5 of the left contact zone 4,
• P ₂ : corresponds to the leftmost point of the inner edge 5 of the left contact zone 4,
• P ₃ : corresponds to the lowest point of the inner edge 7 of the right contact zone 2,
• P ₄ : corresponds to the rightmost point of the inner edge 7 of the right contact zone 2.

The points P ₁ and P ₃ are therefore symmetrical with respect to the axis A, and the points P ₂ and P ₄ are therefore also symmetrical with respect to this axis A.

All swimming goggles in the range, regardless of their size, and therefore their dimensions, thus have the characteristic points mentioned above.

The division of the range into several sizes, and the precise definition of these sizes, come from studies and anthropological and statistical tests. They are thus defined so as to offer a maximum coverage rate of the population.

In this range, in a characteristic and fundamental way, certain dimensional parameters PP _{i, j} , which correspond to the distances between the characteristic points P _i and P _j , are connected to other dimensional parameters PP _{i, j} by constant arithmetic relations which regardless of size, that is, arithmetic relationships independent of cut.

et/ou ${\mathrm{PP}}_{1,3}=a_{1,3}^{2,4}\times {\mathrm{PP}}_{2,4},$

où PP_1,2 correspond à la distance entre les pointus caractéristiques P₁ et P₂, PP_1,3 correspond à la distance entre les points caractéristiques P₁ et P₃, et PP_2,4 correspond à la distance entre les points caractéristiques P₂ et P₄ (donc distance associée à la largeur du visage), et $a_{1,2}^{2,4},$

$a_{1,3}^{2,4},$

et $b_{1,2}^{2,4}$

sont des nombres réels prédéfinis constants, avec une certaine tolérance, quelle que soit la taille des articles (lunettes de natation).Thus, regardless of the size, one or, preferably, the two following relationships are verified: ${\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,2}={\mathrm{at}}_{1,2}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

and or ${\mathrm{<figure-callout\; id="3"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,3}={\mathrm{at}}_{1,3}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4},$

where PP _1,2 corresponds to the distance between the characteristic points P ₁ and P ₂ , PP _1,3 corresponds to the distance between the characteristic points P ₁ and P ₃ , and PP _2,4 corresponds to the distance between the characteristic points P ₂ and P ₄ (thus distance associated with the width of the face), and ${\mathrm{at}}_{1,2}^{2,4},$

${\mathrm{at}}_{1,3}^{2,4},$

and ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

are constant predefined real numbers, with some tolerance, regardless of the size of the items (swimming goggles).

$a_{1,3}^{2,4},$

et $b_{1,2}^{2,4}$

sont constants à 5 % près, de préférence à 3 % près, quelle que soit la taille des articles.Studies have shown that with a tolerance of 5%, preferably 3%, the range of swimming goggles retains its maximum coverage properties of different morphotypes of the target population. In other words, ${\mathrm{at}}_{1,2}^{2,4},$

${\mathrm{at}}_{1,3}^{2,4},$

and ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

are constant to within 5%, preferably to within 3%, regardless of the size of the articles.

, et/ou $a_{1,3}^{2,4}=0.5738,$

et/ou $b_{1,2}^{2,4}=0.$

Precisely, in this variant described with reference to the figure 1 , regardless of the size of the swimming goggles, the values of the coefficients are as follows, to within 5%, preferably to within 3%: ${\mathrm{at}}_{1,2}^{2,4}=0.2880,$

, and or ${\mathrm{at}}_{1,3}^{2,4}=0.5738,$

and or ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}=0.$

$a_{1,3}^{2,4},$

et $b_{1,2}^{2,4}$

sont affectés des valeurs respectives ci-dessus (avec la tolérance de 5%, éventuellement de 3%).Preferably, but not necessarily, the three coefficients ${\mathrm{at}}_{1,2}^{2,4},$

${\mathrm{at}}_{1,3}^{2,4},$

and ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

are assigned respective values above (with the tolerance of 5%, possibly 3%).

• P₅ : correspond au point le plus à droite de l'arête interne 5 de la zone de contact gauche 4,
• P₆ : correspond au point à l'intersection de la portion supérieure de l'arête interne 5 de la zone de contact gauche 4 avec l'axe passant par le point P₁ et perpendiculaire au segment [P₂ ; P₄],
• P₇ correspond au point le plus à gauche de l'arête interne 7 de la zone de contact droite 2,
• P₈: correspond au point milieu de l'arête inférieure 11 du pont 9 reliant l'élément optique droit 1 à l'élément optique gauche 3,
• P₉ : correspond au point milieu de l'arête supérieure 10 du pont 9.

In addition, swimming goggles can be characterized with the following additional characteristic points:

• P ₅ : corresponds to the rightmost point of the inner edge 5 of the left contact zone 4,
• P ₆ : corresponds to the point at the intersection of the upper portion of the inner edge 5 of the left contact zone 4 with the axis passing through the point P ₁ and perpendicular to the segment [P ₂ ; P ₄ ],
• P ₇ corresponds to the leftmost point of the inner edge 7 of the right contact zone 2,
• P ₈ : corresponds to the midpoint of the lower edge 11 of the bridge 9 connecting the right optical element 1 to the left optical element 3,
• P ₉ : corresponds to the midpoint of the upper edge 10 of the bridge 9.

The point P ₁₀ represented at figure 1 , symmetrical point P ₆ relative to the axis of symmetry A, is also characteristic of swimming goggles, but however not useful for the dimensional characterization of these glasses.

Then, in this range, some additional dimensional parameters are related to other dimensional parameters, always by constant arithmetic relations whatever the size, that is to say arithmetic relations independent of the size.

et/ou ${\mathrm{PP}}_{2,6}=a_{2,6}^{2,4}\times {\mathrm{PP}}_{2,4}+b_{2,6}^{2,4},$

et/ou ${\mathrm{PP}}_{5,6}=a_{5,6}^{1,6}\times {\mathrm{PP}}_{1,6}+b_{1,6}^{5,6},$

et/ou ${\mathrm{PP}}_{5,8}=a_{5,8}^{5,7}\times {\mathrm{PP}}_{5,7}+b_{5,8}^{5,7},$

et/ou PP₈,₉ = b _8,9 ,Thus, regardless of size, one or more of the following relationships are verified: ${\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,5}={\mathrm{at}}_{1,5}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6},$

and or ${\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,6}={\mathrm{at}}_{2,6}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{2,6}^{2,4},$

and or ${\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,6}={\mathrm{at}}_{5,6}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,6}^{5,6},$

and or ${\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="PP"\; filenames="imgf0001.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,8}={\mathrm{at}}_{5,8}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7}+{\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{5,8}^{5,7},$

and / or PP ₈ , ₉ = b _8.9 ,

$a_{2,6}^{2,4},$

$b_{2,6}^{2,4},$

$a_{5,6}^{1,6},$

$b_{1,6}^{5,6},$

$a_{5,8}^{5,7},$

$b_{5,8}^{5,7}$

et b _8,9 sont des nombres réels prédéfinis constants, à une certaine tolérance près, quelle que soit la taille des lunettes.In the same way as before, the dimensional parameters PP correspond to the distance between P _i and P _j , irrespective of i and j. Also, ${\mathrm{at}}_{1,5}^{1,6},$

${\mathrm{at}}_{2,6}^{2,4},$

${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{2,6}^{2,4},$

${\mathrm{at}}_{5,6}^{1,6},$

${\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,6}^{5,6},$

${\mathrm{at}}_{5,8}^{5,7},$

${\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{5,8}^{5,7}$

and b _8.9 are constant predefined real numbers, with some tolerance, regardless of the size of the glasses.

As previously explained, a tolerance of 5%, preferably 3%, gives a range of swimming goggles which retains its maximum coverage properties of different morphotypes of the target population. The additional coefficients mentioned above are therefore constant to within 5%, preferably to within 3%, regardless of the size of the articles.

et/ou $a_{2,6}^{2,4}=0.2450,$

et/ou $b_{2,6}^{2,4}=4.2,$

et/ou $a_{5,6}^{1,6}=0.3088,$

et/ou $b_{1,6}^{5,6}=15.7,$

et/ou $a_{5,8}^{5,7}=0.3874,$

et/ou $b_{5,8}^{5,7}=15.3,$

et/ou b _8,9 = 10.Exactly, regardless of the size of the swimming goggles, the values of these additional coefficients are the following, to within 5%, preferably to within 3%: ${\mathrm{at}}_{1,5}^{1,6}=0.8745,$

and or ${\mathrm{at}}_{2,6}^{2,4}=0.2450,$

and or ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{2,6}^{2,4}=4.2,$

and or ${\mathrm{at}}_{5,6}^{1,6}=0.3088,$

and or ${\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,6}^{5,6}=15.7,$

and or ${\mathrm{at}}_{5,8}^{5,7}=0.3874,$

and or ${\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{5,8}^{5,7}=15.3,$

and / or b _8.9 = 10.

Preferably, but not necessarily, all these additional coefficients, and not only some of them, are assigned the respective values above (with the tolerance of 5%, possibly 3%).

The figure 2 schematically represents an article of a range of the invention in a second variant. In this variant, the article is more precisely of the swimming mask type.

The mask thus comprises two optical elements, as is already the case for the previously described swimming goggles: a right optical element 1 and a left optical element 3. Each optical element comprises a sealing element and an optical part itself , usually translucent plastic.

In the same way; that for swimming goggles, the right optical element 1 comprises an optical part, generally of plastic material, which can decompose into a main plane element 20 and a lateral part 21. The right optical element 1 also comprises, as mentioned above, a right sealing element for example silicone, which may take the form of a skirt, and which itself comprises a contact zone 2 through which this right sealing element comes into contact with the face of a person and possibly a lateral part 2 'by which this right sealing element joins the lateral optical part 21.

Also, the left optical element 3 comprises an optical part strictly speaking, generally of plastic material, which can decompose into a plane main element 22 and a lateral part 23. The left optical element 3 also comprises a sealing element left, for example silicone, optionally in the form of a skirt, and which itself comprises a left contact zone 4 by which this left sealing member comes into contact with the face of a person and possibly a part lateral 4 'by which this left sealing element joins the lateral optical part 23.

The right contact zone of the optical element 1 comprises an inner edge 7 and an outer edge 8. Likewise, the left contact zone 4 of the left sealing element of the left optical element 3 comprises an internal edge 5 and an outer edge 6.

The right optical element 1 and the left optical element 3 are symmetrical with respect to an axis of symmetry A.

In this variant, the respective left and right contact zones 2, 4 meet on either side of this axis of symmetry A at a median contact zone 12.

The right optical element 1 and the left optical element 3 are then connected by a bridge 9 situated in the middle contact zone 12, and whose upper edge is referenced 10 and the lower edge is referenced 11. The axis of symmetry A passes precisely through the respective medias of the lower 11 and upper 10 edges of this bridge 9.

The medial contact zone 12 has a lower outer edge 13 and an upper outer edge 14.

The swimming mask is thus represented with its right and left optical elements, 1 and 3, laid flat on the same support plane by their optical parts 20 and 22, that is to say by their opposite sides to the sides of the zones. left and right contact, 2 and 4, right and left sealing elements.

• P₁ correspond au point le plus bas de l'arête externe 6 de la zone de contact gauche 4,
• P₂ : correspond au point le plus à gauche de l'arête externe 6 de la zone de contact gauche 4,
• P₃ : correspond au point le plus bas de l'arête externe 8 de la zone de contact droite 2,
• P₄: correspond au point le plus à droite de l'arête externe 8 de la zone de contact droite 2.

Moreover, the swimming mask has the same main characteristic points as those concerning the swimming goggles, whose position is schematized on the figure 2 :

• P ₁ corresponds to the lowest point of the outer edge 6 of the left contact zone 4,
• P ₂ : corresponds to the leftmost point of the outer edge 6 of the left contact zone 4,
• P ₃ : corresponds to the lowest point of the outer edge 8 of the right contact zone 2,
• P ₄ : corresponds to the rightmost point of the outer edge 8 of the right contact zone 2.

In the same way as in the case of swimming goggles, the points P ₁ and P ₃ are therefore symmetrical with respect to the axis A, and the points P ₂ and P ₄ are also symmetrical with respect to this axis A.

All the swimming masks of the range, whatever their size, and therefore their dimensions, thus possess the characteristic points mentioned above.

As with the range of swimming goggles, the division of the range into several sizes, and the precise definition of these sizes, come from anthropological and statistical studies and tests, and are defined in order to offer a maximum coverage rate of population.

et/ou ${\mathrm{PP}}_{1,3}=a_{1,3}^{2,4}\times {\mathrm{PP}}_{2,4},$

où PP_1,2 correspond toujours à la distance entre les points caractéristiques P₁ et P₂, PP_1,3 correspond toujours à la distance entre les points caractéristiques P₁ et P₃, et PP₂,₄ correspond toujours à la distance entre les points caractéristiques P₂ et P₄ (donc distance associée à la largeur du visage), et $a_{1,2}^{2,4},$

$a_{1,3}^{2,4},$

et $b_{1,2}^{2,4}$

sont des nombres réels prédéfinis constants, avec une tolérance de 5 %, de préférence 3 %, quelle que soit la taille des masques de natation.In this range, typically and fundamentally, and regardless of size, one or, preferably, the two following relationships are verified: ${\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,2}={\mathrm{at}}_{1,2}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

and or ${\mathrm{<figure-callout\; id="3"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,3}={\mathrm{at}}_{1,3}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4},$

where PP _1,2 always corresponds to the distance between the characteristic points P ₁ and P ₂ , PP _1,3 always corresponds to the distance between the characteristic points P ₁ and P ₃ , and PP ₂ , ₄ always corresponds to the distance between the characteristic points P ₂ and P ₄ (thus distance associated with the width of the face), and ${\mathrm{at}}_{1,2}^{2,4},$

${\mathrm{at}}_{1,3}^{2,4},$

and ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

are constant predefined real numbers, with a tolerance of 5%, preferably 3%, regardless of the size of the swimming masks.

$a_{1,3}^{2,4},$

et $b_{1,2}^{2,4}$

sont constants à 5 % près, de préférence à 3 % près, quelle que soit la taille de ces masques de natation.The same type of studies as those mentioned above for swimming goggles has indeed been made for swimming masks and has also shown that with a tolerance of 5%, preferably 3%, the range of swimming masks retains its maximum coverage properties of different morphotypes of the targeted population. In other words, ${\mathrm{at}}_{1,2}^{2,4},$

${\mathrm{at}}_{1,3}^{2,4},$

and ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

are constant to within 5%, preferably to within 3%, regardless of the size of these swimming masks.

et/ou $a_{1,3}^{2,4}=0.3723,$

et/ou $b_{1,2}^{2,4}=-\mathrm{32.1.}$

Precisely, in this variant described with reference to the figure 2 , regardless of the size of the swimming goggles, the values of the coefficients are as follows, to within 5%, preferably to within 3%: ${\mathrm{at}}_{1,2}^{2,4}=0.7287,$

and or ${\mathrm{at}}_{1,3}^{2,4}=0.3723,$

and or ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}=-\mathrm{32.1.}$

$a_{1,3}^{2,4},$

et $b_{1,2}^{2,4}$

sont affectés des valeurs respectives ci-dessus (avec la tolérance de 5%, éventuellement de 3%).Preferably, but not necessarily, these three coefficients ${\mathrm{at}}_{1,2}^{2,4},$

${\mathrm{at}}_{1,3}^{2,4},$

and ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

are assigned respective values above (with the tolerance of 5%, possibly 3%).

• P₅ : correspond au point à l'intersection de la portion supérieure de l'arête externe 6 de la zone de contact gauche 4 avec l'axe passant par le point P₁ et perpendiculaire au segment [P₂ ; P₄],
• P₆ : correspond au point à l'intersection de la portion supérieure de l'arête externe 8 de la zone de contact droite 2 avec l'axe passant par le point P₃ et perpendiculaire au segment [P₂ ; P₄],
• P₇ : correspond au point à l'intersection de l'axe de symétrie A avec l'arête externe inférieure 13 de la zone de contact médiane 12,
• P₈ : correspond au point au milieu de l'arête inférieure 11 du pont 9, projeté sur la zone de contact médiane 12,
• P₉ : correspond au point au milieu de l'arête supérieure 10 du pont 9, projeté sur la zone de contact médiane 12,
• P₁₀ : correspond au point à l'intersection de l'axe de symétrie A avec l'arête externe supérieure 14 de la zone de contact médiane 12.

Swimming masks can also be characterized with the following additional characteristic points:

• P ₅ : corresponds to the point at the intersection of the upper portion of the outer edge 6 of the left contact zone 4 with the axis passing through the point P ₁ and perpendicular to the segment [P ₂ ; P ₄ ],
• P ₆ : corresponds to the point at the intersection of the upper portion of the outer edge 8 of the right contact zone 2 with the axis passing through the point P ₃ and perpendicular to the segment [P ₂ ; P ₄ ],
• P ₇ : corresponds to the point at the intersection of the axis of symmetry A with the lower outer edge 13 of the middle contact zone 12,
• P ₈ : corresponds to the point in the middle of the lower edge 11 of the bridge 9, projected on the median contact zone 12,
• P ₉ : corresponds to the point in the middle of the upper edge 10 of the bridge 9, projected on the median contact zone 12,
• P ₁₀ : corresponds to the point at the intersection of the axis of symmetry A with the upper outer edge 14 of the middle contact zone 12.

Thus, in this range also, certain additional dimensional parameters are connected to other parameters dimensional, always by constant arithmetic relations whatever the size, that is to say, arithmetic relations independent of the size.

et/ou ${\mathrm{PP}}_{6,9}=a_{6,9}^{1,5}\times {\mathrm{PP}}_{1,5},$

et/ou ${\mathrm{PP}}_{1,7}=a_{1,7}^{1,5}\times {\mathrm{PP}}_{1,5},$

et/ou ${\mathrm{PP}}_{8,9}=a_{8,9}^{2,4}\times {\mathrm{PP}}_{2,4}+b_{8,9}^{2,4},$

et/ou ${\mathrm{PP}}_{7,8}=a_{7,8}^{2,4}\times {\mathrm{PP}}_{2,4}+b_{7,8}^{2,4},$

et/ou ${\mathrm{PP}}_{5,8}=a_{5,8}^{1,5}\times {\mathrm{PP}}_{1,5}+b_{5,8}^{1,5},$

et/ou ${\mathrm{PP}}_{1,8}=a_{1,8}^{1,5}\times {\mathrm{PP}}_{1,5}+b_{1,8}^{1,5},$

et/ou ${\mathrm{PP}}_{9,10}=a_{9,10}^{1,5}\times {\mathrm{PP}}_{1,5}+b_{9,10}^{1,5},$

Thus, regardless of size, one or more of the following relationships are verified: ${\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,5}={\mathrm{at}}_{2,5}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4},$

and or ${\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{6,9}={\mathrm{at}}_{6,9}^{1,5}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,5},$

and or ${\mathrm{<figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,7}={\mathrm{at}}_{1,7}^{1,5}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,5},$

and or ${\mathrm{<figure-callout\; id="8"\; label="PP"\; filenames="imgf0001.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{8,9}={\mathrm{at}}_{8,9}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout>}}_{8,9}^{2,4},$

and or ${\mathrm{<figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="PP"\; filenames="imgf0001.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{7,8}={\mathrm{at}}_{7,8}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{<figure-callout\; id="7"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{7,8}^{2,4},$

and or ${\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="PP"\; filenames="imgf0001.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,8}={\mathrm{at}}_{5,8}^{1,5}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,5}+{\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{5,8}^{1,5},$

and or ${\mathrm{<figure-callout\; id="8"\; label="PP"\; filenames="imgf0001.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,8}={\mathrm{at}}_{1,8}^{1,5}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,5}+{\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,8}^{1,5},$

and or ${\mathrm{<figure-callout\; id="10"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{9,10}={\mathrm{at}}_{9,10}^{1,5}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,5}+{\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,10}^{1,5},$

$a_{6,9}^{1,5},$

$a_{1,7}^{1,5},$

$a_{8,9}^{2,4},$

$b_{8,9}^{2,4},$

$a_{7,8}^{2,4},$

$b_{7,8}^{2,4},$

$a_{5,8}^{1,5},$

$b_{5,8}^{1,5},$

$a_{1,8}^{1,5},$

$b_{1,8}^{1,5},$

$a_{9,10}^{1,5},$

et $b_{9,10}^{1,5}$

sont des nombres réels prédéfinis constants, à une certaine tolérance près, quelle que soit la taille des lunettes.In the same way as above, the dimensional parameters PP _{i, j} correspond to the distance between P _i and P _j , irrespective of i and j. Also, ${\mathrm{at}}_{2,5}^{2,4},$

${\mathrm{at}}_{6,9}^{1,5},$

${\mathrm{at}}_{1,7}^{1,5},$

${\mathrm{at}}_{8,9}^{2,4},$

${\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout>}}_{8,9}^{2,4},$

${\mathrm{at}}_{7,8}^{2,4},$

${\mathrm{<figure-callout\; id="7"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{7,8}^{2,4},$

${\mathrm{at}}_{5,8}^{1,5},$

${\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{5,8}^{1,5},$

${\mathrm{at}}_{1,8}^{1,5},$

${\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,8}^{1,5},$

${\mathrm{at}}_{9,10}^{1,5},$

and ${\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,10}^{1,5}$

are constant predefined real numbers, with some tolerance, regardless of the size of the glasses.

A tolerance of 5%, preferably 3%, gives a range of swimming masks that retain its maximum coverage properties of different morphotypes of the target population. The aforementioned additional coefficients are therefore constant to within 5%, preferably to 3%, regardless of the size of the masks.

et/ou $a_{6,9}^{1,5}=0.4938,$

et/ou $a_{1,7}^{1,5}=0.5777,$

et/ou $a_{8,9}^{2,4}=0.2000,$

et/ou $b_{8,9}^{2,4}=-10,$

et/ou $a_{7,8}^{2,4}=$

$0.1333,$

et/ou $b_{7,8}^{2,4}=5.9,$

et/ou $a_{5,8}^{1,5}=0.3792,$

et/ou $b_{5,8}^{1,5}=16.5,$

et/ou $a_{1,8}^{1,5}=0.7050,$

et/ou $b_{1,8}^{1,5}=-1,$

et/ou $a_{9,10}^{1,5}=0.4073,$

et/ou $b_{9,10}^{1,5}=-\mathrm{8.2.}$

Specifically, regardless of the size of these swimming masks, the values of these additional coefficients are the following, within 5%, preferably to within 3%. ${\mathrm{at}}_{2,5}^{2,4}=0.4365,$

and or ${\mathrm{at}}_{6,9}^{1,5}=0.4938,$

and or ${\mathrm{at}}_{1,7}^{1,5}=0.5777,$

and or ${\mathrm{at}}_{8,9}^{2,4}=0.2000,$

and or ${\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout>}}_{8,9}^{2,4}=-10,$

and or ${\mathrm{at}}_{7,8}^{2,4}=$

$0.1333,$

and or ${\mathrm{<figure-callout\; id="7"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{7,8}^{2,4}=5.9,$

and or ${\mathrm{at}}_{5,8}^{1,5}=0.3792,$

and or ${\mathrm{<figure-callout\; id="5"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{5,8}^{1,5}=16.5,$

and or ${\mathrm{at}}_{1,8}^{1,5}=0.7050,$

and or ${\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,8}^{1,5}=-1,$

and or ${\mathrm{at}}_{9,10}^{1,5}=0.4073,$

and or ${\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,10}^{1,5}=-\mathrm{8.2.}$

Preferably, but not necessarily, all these additional coefficients, and not only some of them, are assigned the respective values above (with the tolerance of 5%, possibly 3%).

Finally, figure 3 schematically represents an article of a range of the invention in a third variant, wherein the article is more precisely of the diving mask type.

The mask thus comprises two optical elements, as is already the case for the previously described glasses or swimming mask: a right optical element 1 and a left optical element 3. Each optical element comprises a sealing element and a part optical proper, usually translucent plastic material.

In the same way as for the goggles or swimming mask, the right optical element 1 comprises an optical part, generally made of plastic material, which can decompose into a main optical part 20 and a lateral optical part 21. The element optical right 1 also comprises, as mentioned above, a right sealing element for example silicone, which may take the form of a skirt, and which itself comprises a contact zone 2 by which this element of straight seal comes into contact with the face of a person and possibly a lateral part (not shown) by which this right sealing element joins the lateral optical part 21.

Also, the left optical element 3 comprises an optical part strictly speaking, generally made of plastic material, which can decompose into a main optical part 22 and a lateral optical part 23. The left optical element 3 also comprises an element left seal, for example silicone, optionally in the form of a skirt, and which itself comprises a left contact zone 4 by which this left sealing member comes into contact with the face of a person and possibly a lateral part (not shown) by which this left sealing element joins the lateral optical part 23.

The right contact zone of the optical element 1 comprises an inner edge 7 and an outer edge 8. Likewise, the left contact zone 4 of the left sealing element of the left optical element 3 comprises an inner edge 5 and an outer edge 6.

The right optical element 1 and the left optical element 3 are symmetrical with respect to an axis of symmetry A.

In this variant, the respective left and right contact zones 2, 4 meet on either side of this axis of symmetry A in a medial contact zone 12. The medial contact zone 12 then has a footprint for the nose 15, and is broken down into a lower part and an upper part.

The upper part of this middle contact zone 12 has an inner edge 16 and an outer edge 17. The lower part of this middle contact zone 12 has an outer edge 18 and an inner edge 19.

The dive mask is thus represented with its right and left optical elements, 1 and 3, laid flat on the same support plane by their optical parts 20 and 22, that is to say by their opposite sides to the sides of the zones. left and right contact, 2 and 4, right and left sealing elements.

• P₁ : correspond au point le plus bas de l'arête externe 6 de la zone de contact gauche 4,
• P₂ : correspond au point le plus à gauche de l'arête externe 6 de la zone de contact gauche 4,
• P₃ : correspond au point le plus bas de l'arête externe 8 de la zone de contact droite 2,
• P₄ : correspond au point le plus à droite de l'arête externe 8 de la zone de contact droite 2.

Moreover, the diving mask has the same main characteristic points as those mentioned with reference to the swimming goggles and mask ( figures 1 and 2 ), and whose position is schematized on the figure 3 :

• P ₁ : corresponds to the lowest point of the outer edge 6 of the left contact zone 4,
• P ₂ : corresponds to the leftmost point of the outer edge 6 of the left contact zone 4,
• P ₃ : corresponds to the lowest point of the outer edge 8 of the right contact zone 2,
• P ₄ : corresponds to the rightmost point of the outer edge 8 of the right contact zone 2.

In the same way as in the case of glasses or swimming mask, the points P ₁ and P ₃ are therefore symmetrical with respect to the axis A, and the points P ₂ and P ₄ are also symmetrical with respect to this axis A.

All dive masks in the range, regardless of their size, and therefore their dimensions, thus have the characteristic points mentioned above.

As with the range of goggles or swimming goggles, the cutting into several sizes, and the precise definition of these sizes, come from anthropological and statistical studies and tests, and are defined in order to offer a maximum coverage rate of population.

et/ou ${\mathrm{PP}}_{1,3}=a_{1,3}^{2,4}\times {\mathrm{PP}}_{2,4},$

où PP_1,2 correspond toujours à la distance entre les points caractéristiques P₁ et P₂, PP_1,3 correspond toujours à la distance entre les points caractéristiques P₁ et P₃, et PP_2,4 correspond toujours à la distance entre les points caractéristiques P₂ et P₄ (donc distance associée à la largeur du visage), et $a_{1,2}^{2,4},$

$a_{1,3}^{2,4},$

et $b_{1,2}^{2,4}$

sont des nombres réels prédéfinis constants, avec une tolérance de 5 %, de préférence 3 %, quelle que soit la taille des masques de plongée.In this range, typically and fundamentally, and regardless of size, one or, preferably, the two following relationships are further verified:
${\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,2}={\mathrm{at}}_{1,2}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

and or ${\mathrm{<figure-callout\; id="3"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,3}={\mathrm{at}}_{1,3}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4},$

where PP _1,2 always corresponds to the distance between the characteristic points P ₁ and P ₂ , PP _1,3 always corresponds to the distance between the characteristic points P ₁ and P ₃ , and PP _2,4 always corresponds to the distance between the characteristic points P ₂ and P ₄ (thus distance associated with the width of the face), and ${\mathrm{at}}_{1,2}^{2,4},$

${\mathrm{at}}_{1,3}^{2,4},$

and ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

are constant predefined real numbers, with a tolerance of 5%, preferably 3%, regardless of the size of the diving masks.

$a_{1,3}^{2,4},$

et $b_{1,2}^{2,4}$

sont constants à 5 % près, de préférence à 3 % près, quelle que soit la taille de ces masques de plongée.The same type of studies as those mentioned above for swimming goggles or masks was indeed made for diving masks and also showed that with a tolerance of 5%, preferably 3%, the range of Diving masks retains its maximum coverage properties of different morphotypes of the targeted population. In other words, ${\mathrm{at}}_{1,2}^{2,4},$

${\mathrm{at}}_{1,3}^{2,4},$

and ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

are constant to within 5%, preferably to within 3%, regardless of the size of these diving masks.

et/ou $a_{1,3}^{2,4}=0.5694,$

et/ou $b_{1,2}^{2,4}=0.$

Precisely, in this variant described with reference to the figure 3 , whatever the size of the diving masks, the values of the coefficients are the following ones, to 5% close, preferably to 3% close:
${\mathrm{at}}_{1,2}^{2,4}=0.5931,$

and or ${\mathrm{at}}_{1,3}^{2,4}=0.5694,$

and or ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}=0.$

$a_{1,3}^{2,4},$

et $b_{1,2}^{2,4}$

sont affectés des valeurs respectives ci-dessus (avec la tolérance de 5%, éventuellement de 3%).Preferably, but not necessarily, these three coefficients ${\mathrm{at}}_{1,2}^{2,4},$

${\mathrm{at}}_{1,3}^{2,4},$

and ${\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{1,2}^{2,4}$

are assigned respective values above (with the tolerance of 5%, possibly 3%).

• P₉ : correspond au point à l'intersection de l'axe de symétrie A avec le sommet du contour de l'empreinte pour le nez 15,
• P₅ : correspond au point situé sur le côté gauche du contour de l'empreinte pour le nez 15, à 4 cm du point P₉,
• P₆ : correspond au point à l'intersection de la portion supérieure de l'arête externe 6 de la zone de contact gauche 4 avec l'axe passant par le point P₁ et perpendiculaire au segment [P₂ ; P₄],
• P₇ : correspond au point situé sur le côté droit du contour de l'empreinte pour le nez 15, à 4 cm du point P₉,
• P₈ : correspond au point le plus profond de l'empreinte pour le nez 15,
• P₁₀ : correspond au point à l'intersection de l'axe de symétrie A avec l'arête interne 16 de la partie supérieure de la zone de contact médiane 12,
• P₁₁: correspond au point à l'intersection de l'axe de symétrie A avec l'arête externe 17 de la partie supérieure de la zone de contact médiane 12,
• P₁₂: correspond au point à l'intersection de l'axe de symétrie A avec l'arête externe 18 de la partie inférieure de la zone de contact médiane 12,
• P₁₃ : correspond au point à l'intersection de l'axe de symétrie A avec l'arête interne 19 de la partie inférieure de la zone de contact médiane 12.

Diving masks can also be characterized with the following additional characteristic points:

• P ₉ : corresponds to the point at the intersection of the axis of symmetry A with the vertex of the contour of the impression for the nose 15,
• P ₅ : corresponds to the point on the left side of the contour of the impression for nose 15, 4 cm from point P ₉ ,
• P ₆ : corresponds to the point at the intersection of the upper portion of the outer edge 6 of the left contact zone 4 with the axis passing through the point P ₁ and perpendicular to the segment [P ₂ ; P ₄ ],
• P ₇ : corresponds to the point on the right side of the contour of the impression for the nose 15, 4 cm from the point P ₉ ,
• P ₈ : corresponds to the deepest point of the impression for the nose 15,
• P ₁₀ : corresponds to the point at the intersection of the axis of symmetry A with the inner edge 16 of the upper part of the middle contact zone 12,
• P ₁₁ : corresponds to the point at the intersection of the axis of symmetry A with the outer edge 17 of the upper part of the middle contact zone 12,
• P ₁₂ : corresponds to the point at the intersection of the axis of symmetry A with the outer edge 18 of the lower part of the middle contact zone 12,
• P ₁₃ : corresponds to the point at the intersection of the axis of symmetry A with the inner edge 19 of the lower part of the middle contact zone 12.

The point P ₁₄ represented at figure 3 , symmetrical of point P ₆ by relative to the axis of symmetry A, is also characteristic of the diving mask, but however not useful for the dimensional characterization of this mask.

Here again, therefore, certain additional dimensional parameters are related to other dimensional parameters, always by constant arithmetic relations whatever the size, that is to say, arithmetic relations independent of the size.

et/ou ${\mathrm{PP}}_{1,13}=a_{1,13}^{5,7}\times {\mathrm{PP}}_{5,7},$

et/ou PP_5,9 = b _5,9, et/ou ${\mathrm{PP}}_{8,9}=a_{8,9}^{1,6}\times {\mathrm{PP}}_{1,6},$

et/ou ${\mathrm{PP}}_{9,13}=a_{9,13}^{1,6}\times {\mathrm{PP}}_{1,6},$

et/ou, ${\mathrm{PP}}_{8,13}=a_{8,13}^{1,6}\times {\mathrm{PP}}_{1,6}+a_{8,13}^{2,4}\times {\mathrm{PP}}_{2,4}+a_{8,13}^{5,7}\times {\mathrm{PP}}_{5,7}+b_{8,13},$

et/ou
${\mathrm{PP}}_{12,13}=a_{12,13}^{1,6}\times {\mathrm{PP}}_{1,6}+a_{12,13}^{2,4}\times {\mathrm{PP}}_{2,4}+a_{12,13}^{5,7}\times {\mathrm{PP}}_{5,7}+b_{12,13},$

et/ou
${\mathrm{PP}}_{9,12}=a_{9,12}^{1,6}\times {\mathrm{PP}}_{1,6}+b_{9,12}^{1,6},$

et/ou ${\mathrm{PP}}_{1,9}=a_{1,9}^{1,6}\times {\mathrm{PP}}_{1,6}+b_{1,9}^{1,6},$

et/ou
${\mathrm{PP}}_{6,9}=a_{6,9}^{2,4}\times {\mathrm{PP}}_{2,4}+b_{6,9}^{2,4},$

et/ou ${\mathrm{PP}}_{11,13}=a_{11,13}^{1,6}\times {\mathrm{PP}}_{1,6}+b_{11,13}^{1,6},$

et/ou
${\mathrm{PP}}_{10,13}=a_{10,13}^{1,6}\times {\mathrm{PP}}_{1,6}+b_{10,13}^{1,6}\mathrm{.}$

Thus, regardless of size, one or more of the following relationships are verified: ${\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{2,9}={\mathrm{at}}_{2,9}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4},$

and or ${\mathrm{<figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,13}={\mathrm{at}}_{1,13}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7},$

and / or PP _5.9 = b _5.9 , and / or ${\mathrm{<figure-callout\; id="8"\; label="PP"\; filenames="imgf0001.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{8,9}={\mathrm{at}}_{8,9}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6},$

and or ${\mathrm{<figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{9,13}={\mathrm{at}}_{9,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6},$

and or, ${\mathrm{<figure-callout\; id="8"\; label="PP"\; filenames="imgf0001.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{8,13}={\mathrm{at}}_{8,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{at}}_{8,13}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{at}}_{8,13}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7}+{\mathrm{<figure-callout\; id="8"\; label="b"\; filenames="imgf0001.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{8,13},$

and or
${\mathrm{<figure-callout\; id="12"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{12,13}={\mathrm{at}}_{12,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{at}}_{12,13}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{at}}_{12,13}^{5,7}\times {\mathrm{<figure-callout\; id="5"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="7"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{5,7}+{\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{12,13},$

and or
${\mathrm{<figure-callout\; id="12"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{9,12}={\mathrm{at}}_{9,12}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,12}^{1,6},$

and or ${\mathrm{PP}}_{1,9}={\mathrm{at}}_{1,9}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+b_{1,9}^{1,6},$

and or
${\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{6,9}={\mathrm{at}}_{6,9}^{2,4}\times {\mathrm{<figure-callout\; id="2"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="4"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{2,4}+{\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{6,9}^{2,4},$

and or ${\mathrm{<figure-callout\; id="11"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{11,13}={\mathrm{at}}_{11,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="11"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{11,13}^{1,6},$

and or
${\mathrm{<figure-callout\; id="10"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="PP"\; filenames="imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout></figure-callout>}}_{10,13}={\mathrm{at}}_{10,13}^{1,6}\times {\mathrm{<figure-callout\; id="6"\; label="PP"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">PP</figure-callout>}}_{1,6}+{\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{10,13}^{1,6}\mathrm{.}$

b_5,9, $a_{8,9}^{1,6},$

$a_{9,13}^{1,6},$

$a_{8,13}^{1,6},$

$a_{8,13}^{2,4},$

$a_{8,13}^{5,7},$

b _8,13, $a_{12,13}^{1,6},$

$a_{12,13}^{2,4},$

$a_{12,13}^{5,7},$

b _12,13, $a_{9,12}^{1,6},$

$b_{9,12}^{1,6},$

$a_{1,9}^{1,6},$

$b_{1,9}^{1,6},$

$a_{6,9}^{2,4},$

$b_{6,9}^{2,4},$

$a_{11,13}^{1,6},$

$b_{11,13}^{1,6},$

$a_{10,13}^{1,6},$

et $b_{10,13}^{1,6},$

sont des nombres réels prédéfinis constants, à une certaine tolérance près, quelle que soit la taille des lunettes.In the same way as above, the dimensional parameters PP _{i, j} correspond to the distance between P _i and P _j , irrespective of i and j. Also, ${\mathrm{at}}_{1,13}^{5,7},$

b _5.9 , ${\mathrm{at}}_{8,9}^{1,6},$

${\mathrm{at}}_{9,13}^{1,6},$

${\mathrm{at}}_{8,13}^{1,6},$

${\mathrm{at}}_{8,13}^{2,4},$

${\mathrm{at}}_{8,13}^{5,7},$

b _8,13 , ${\mathrm{at}}_{12,13}^{1,6},$

${\mathrm{at}}_{12,13}^{2,4},$

${\mathrm{at}}_{12,13}^{5,7},$

b _12,13 , ${\mathrm{at}}_{9,12}^{1,6},$

${\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,12}^{1,6},$

${\mathrm{at}}_{1,9}^{1,6},$

$b_{1,9}^{1,6},$

${\mathrm{at}}_{6,9}^{2,4},$

${\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{6,9}^{2,4},$

${\mathrm{at}}_{11,13}^{1,6},$

${\mathrm{<figure-callout\; id="11"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{11,13}^{1,6},$

${\mathrm{at}}_{10,13}^{1,6},$

and ${\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{10,13}^{1,6},$

are constant predefined real numbers, with some tolerance, regardless of the size of the glasses.

Again in this case, a tolerance of 5%, preferably 3%, gives a range of diving masks which retains its maximum coverage properties of different morphotypes of the target population. The additional coefficients mentioned above are therefore constant to within 5%, preferably to within 3%, regardless of the size of these masks.

et/ou $a_{1,13}^{5,7}=1.2085,$

et/ou b_5,9 = 40, et/ou $a_{8,9}^{1,6}=0.5690,$

et/ou $a_{9,13}^{1,6}=0.5534,$

et/ou $a_{8,13}^{1,6}=\mathrm{0.17.70},$

et/ou $a_{8,13}^{2,4}=0.2005,$

et/ou $a_{8,13}^{5,7}=-0.3169,$

et/ou b _8,13 = -4.6, et/ou
$a_{12,13}^{1,6}=0.0487,$

et/ou $a_{12,13}^{2,4}=0.0552,$

et/ou $a_{12,13}^{5,7}=-0.0872,$

et/ou
b_12,13 = -1.3, et/ou $a_{9,12}^{1,6}=0.5796,$

et/ou $b_{9,12}^{1,6}=4.4,$

et/ou
$a_{1,9}^{1,6}=0.5480,$

et/ou $b_{1,9}^{1,6}=24.6,$

et/ou $a_{6,9}^{2,4}=0.4813,$

et/ou
$b_{6,9}^{2,4}=-1.5,$

et/ou $a_{11,13}^{1,6}=0.8781,$

et/ou $b_{11,13}^{1,6}=6.4,$

et/ou
$a_{10,13}^{1,6}=0.7316,$

et/ou $b_{10,13}^{1,6}=\mathrm{10.3.}$

Precisely, whatever the size of these diving mask, the values of these additional coefficients are the following, to within 5%, preferably to within 3%: ${\mathrm{at}}_{2,9}^{2,4}=0.6926,$

and or ${\mathrm{at}}_{1,13}^{5,7}=1.2085,$

and / or b _5.9 = 40, and / or ${\mathrm{at}}_{8,9}^{1,6}=0.5690,$

and or ${\mathrm{at}}_{9,13}^{1,6}=0.5534,$

and or ${\mathrm{at}}_{8,13}^{1,6}=\mathrm{0.17.70},$

and or ${\mathrm{at}}_{8,13}^{2,4}=0.2005,$

and or ${\mathrm{at}}_{8,13}^{5,7}=-0.3169,$

and / or b _8,13 = -4.6, and / or
${\mathrm{at}}_{12,13}^{1,6}=0.0487,$

and or ${\mathrm{at}}_{12,13}^{2,4}=0.0552,$

and or ${\mathrm{at}}_{12,13}^{5,7}=-0.0872,$

and or
b _12.13 = -1.3, and / or ${\mathrm{at}}_{9,12}^{1,6}=0.5796,$

and or ${\mathrm{<figure-callout\; id="12"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{9,12}^{1,6}=4.4,$

and or
${\mathrm{at}}_{1,9}^{1,6}=0.5480,$

and or $b_{1,9}^{1,6}=24.6,$

and or ${\mathrm{at}}_{6,9}^{2,4}=0.4813,$

and or
${\mathrm{<figure-callout\; id="6"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}">b</figure-callout>}}_{6,9}^{2,4}=-1.5,$

and or ${\mathrm{at}}_{11,13}^{1,6}=0.8781,$

and or ${\mathrm{<figure-callout\; id="11"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{11,13}^{1,6}=6.4,$

and or
${\mathrm{at}}_{10,13}^{1,6}=0.7316,$

and or ${\mathrm{<figure-callout\; id="10"\; label="b"\; filenames="imgf0001.png,imgf0002.png"\; state="\{\{state\}\}"><figure-callout\; id="13"\; label="b"\; filenames="imgf0002.png"\; state="\{\{state\}\}">b</figure-callout></figure-callout>}}_{10,13}^{1,6}=\mathrm{10.3.}$

Preferably, but not necessarily, all these additional coefficients, and not only some of them, are assigned the respective values above (with the tolerance of 5%, possibly 3%).

The whole of the description above is obviously given by way of example and is not limiting of the invention.

In particular, the exact shape and geometry of the various articles of sub-aquatic vision of the ranges described above is not limiting of the invention, from the moment when these articles have the main characteristic points described, with the or the constant arithmetic relations also described, regardless of the size of the article.

Claims (10)

1. A series of underwater vision articles, comprising several articles of different sizes, said articles including a right optical element (1) itself including a right sealing element intended to come into contact, via its right contact area (2), with the face of a person, and a left optical element (3) itself including a left sealing element intended to come into contact, via its left contact area (4), with the face of a person, said articles further including the following characteristic points, while considering said right and left optical elements (1, 3) placed down flat on a same supporting plane on their side opposite to the side of said right and left contact areas (2, 4) of said right and left sealing elements:

   - P₁ : the lowest point of the inner (5) or outer (6) edge of said left contact area (4),

   - P₂ : the leftmost point of the inner (5) or outer (6) edge of said left contact area (4),

   - P₃ : the lowest point of the inner (7) or outer (8) edge of said right contact area (2),

   - P₄ : the rightmost point of the inner (7) or outer (8) edge of the said right contact area (2),
   said series being characterized in that, regardless of the size of said articles:

   - the ratio between PP_2,4 and PP_1,3 is constant to within 5%, preferably to within 3%;
   and/or

   - the ratio between PP_2,4 plus a constant predefined to within 5%, preferably to within 3%, on the one hand, and PP_1,2 on the other hand, is constant to within 5%, preferably to within 3%,

   wherein PP_i,j is the distance between P_i and P_j, for any i and j.
2. The series of underwater vision articles according to claim 1, said articles being swimming goggles, characterized in that, regardless of the size of said articles, the ratio between PP_2,4 and PP_1,3 is equal to 1.7428 to within 5%, preferably to within 3%, and/or the ratio between PP_2,4 and PP_1,2 is equal to 3.4722 to within 5%, preferably to within 3%.
3. The series of underwater vision articles according to any one of claims 1 and 2, said articles being swimming goggles further including the following characteristic points:

   - P₅ : the rightmost point of the inner edge (5) of said left contact area (4),

   - P₆ : the point at the intersection of the upper portion of the inner edge (5) of said left contact area (4) with the axis passing through said point P₁ and perpendicular to the segment [P₂; P₄],

   - P₇: the leftmost point of the inner edge (7) of said right contact area (2),

   - P₈ : the point in the middle of the lower edge (11) of the bridge (9) connecting the right optical element (1) to said left optical element (3),

   - P₉ : the point in the middle of the upper edge (10) of the bridge (9).
   said series being characterized in that, regardless of the size of the articles:
   PP₁,₅ = a_1,5 ^1,6 x PP_1,6, and/or PP_2,6 = a₂,₆ ^2,4 x PP_2,4 + b_2,6 ^2,4, and/or PP_5,6 = a_5,6 ^1,6 x PP_1,6, + b_1,6 ^5,6, and/or PP_5,8 = a_5,8 ^5,7 x
   PP_5,7 + b_5,8 ^5,7,
   and/or PP_8,9 = b_8,9,

   wherein PP_ij is the distance between P_i and P_j, for any i and j, and a_1,5 ^1,6, a_2,6 ^2,4, b_2,6 ^2,4, a_5,6 ^1,6, b_1,6 ^5,6, a_5,8 ^5,7, b_5,8 ^5,7 and b_8,9 are predefined real numbers constant to within 5%, preferably to within 3%, regardless of the size of said articles.
4. The series of underwater vision articles according to claim 3, characterized in that a_1,5 ^1,6 = 0.8745, and/or a_2,6 ^2,4 =0.2450, and/or b_2,6 ^2,4 = 4.2, and/or a_5,6 ^1,6 = 0.3088, and/or a_1,6 ^5,6 = 15.7, and/or a_5,8 ^5,7 = 0.3874, and/or b_5,8 ^5,7 = 15.3, and/or b_8,9 = 10, regardless of the size of said articles, these values being defined to within 5%, preferably to within 3%.
5. The series of underwater vision articles according to claim 1, said articles being swimming masks, characterized in that, regardless of the size of said articles, the ratio between PP_2,4 and PP_1,3 is equal to 2.6860 to within 5%, preferably to within 3%, and/or the ratio between PP_2,4 less the constant 44.0 defined to within 5%, preferably to within 3% on the one hand, and PP_1,2 on the other hand, is equal to 1.3723 to within 5%, preferably to within 3%.
6. The series of underwater vision articles according to any one of claims 1 and 5, said articles being swimming masks with an axis of symmetry (A) between said right (1) and left (3) optical elements, said right and left (2, 4) contact areas joining on either side of said axis of symmetry (A) in a median contact area (12), said right and left (1, 3) optical elements being connected through a bridge (9), said articles further including the following characteristic points:

   - P₅: the point at the intersection of the upper portion of the outer edge (6) of said left contact area (4) with the axis passing through said point P₁ and perpendicular to the segment [P₂; P₄],

   - P₆: the point at the intersection of the upper portion of the outer edge (8) of said right contact area (2) with the axis passing through said point P₃ and perpendicular to the segment [P₂; P₄],

   - P₇: the point at the intersection of the axis of symmetry (A) with the lower outer edge (13) of said median contact area (12),

   - P₈: the point in the middle of the lower edge (11) of said bridge (9) projected on said median contact area (12),

   - P₉: the point in the middle of the upper edge (10) of said bridge (9), projected on said median contact area (12),

   - P₁₀: the point at the intersection of said axis of symmetry (A) with the upper outer edge (14) of said median contact area (12),
   said series is characterized in that, regardless of the size of said articles:
   PP_2,5 = a_2,5 ^2,4 x PP_2,4, and/or PP_6,9 = a_6,9 ^1,5x PP_1,5,
   and/or PP_1,7 = a_1,7 ^1,5x PP_1,5, and/or PP_8,9 = a_8,9 ^2,4x PP_2,4+ b_8,9 ^2,4,
   and/or PP_7,8 = a_7,8 ^2,4 x PP_2,4 + b_7,8 ^2,4, and/or PP_5,8 = a_5,8 ^1,5x PP_1,5 + b_5,8 ^1,5 ,
   and/or PP_1,8 = a_1,8 ^1,5 x PP_1,5 + b_1,8 ^1,5, and/or PP_9,10 = a_9,10 ^1,5 x PP_1,5 + b_9,10 ^1,5,
   wherein PP_ij is the distance between P_i and P_j, for any i and J, and a_2,5 ^2,4, a_6,9 ^1,5, a_1,7 ^1,5, a_8,9 ^2,4, b_8,9 ^2,4 , a_7,8 ^2,4,b_7,8 ^2,4, a_5,8 ^1,5 b_5,8 ^1,5,a_1,8 ^1,5, b_1,8 ^1,5, a_9,10 ^1,5 and b_9,10 ^1,5 are predefined real numbers constant to within 5%, preferably within 3%, regardless of the size of said articles.
7. The series of underwater vision articles according to claim 6, characterized in that a_2,5 ^2,4 = 0.4365, and/or a_6,9 ^1,5 =0.4938, and/or a_1,7 ^1,5 = 0.5777, and/or a_8,9 ^2,4 = 0.2000, and/or b_8,9 ^2,4 = -10, and/or a_7,8 ^2,4 = 0.1333, and/or b_7,8 ^2,4 = 5.9 and/or a_5,8 ^1,5 = 0.3792, and/or b_5,8 ^1,5 = 16.5, and/or a_1,8 ^1,5 = 0.7050, and/or b_1,8 ^1,5 = -1, and/or a_9,10 ^1,5 = 0.4073, and/or b₉,₁₀ ^1,5 = -8.2, regardless of the size of said articles, these values being defined to within 5%, preferably to within 3%.
8. The series of underwater vision articles according to claim 1, said articles being diving masks, characterized in that, regardless of the size of said articles, the ratio between PP_2,4 and PP_1,3 is equal to 1. 7562 to within 5%, preferably to within 3%, and/or the ratio between PP_2,4 and PP_1,2 is equal to 1.6861 to within 5%, preferably to within 3%.
9. The series of underwater vision articles according to any one of claims 1 and 8, said articles being diving masks with an axis of symmetry (A) between said right (1) and left (3) optical elements, said right and left (2, 4) contact areas joining on either side of said axis of symmetry (A) in a median contact area (12), said median contact area (12) having an imprint for the nose (15), said articles further including the following characteristic points:

   - P₉: the point at the intersection of said axis of symmetry (A) with the top of the contour of said imprint for the nose (15),

   - P₅: the point located on the left side of the contour of said imprint for the nose (15), at 4 cm from point P₉,

   - P₆: the point at the intersection of the upper portion of the outer edge (6) of said left contact area (4) with the axis passing through said point P₁ and perpendicular to the segment [P₂; P₄],

   - P₇: the point located on the right side of the contour of said imprint for the nose (15), at 4 cm from point P₉,

   - P₈: the deepest point of said imprint for the nose (15),

   - P₁₀: the point at the intersection of said axis of symmetry (A) with the inner edge (16) of the upper portion of said median contact area (12),

   - P₁₁: the point at the intersection of said axis of symmetry (A) with the outer edge (17) of the upper portion of said median contact area (12),

   - P₁₂: the point at the intersection of said axis of symmetry (A) with the outer edge (18) of the lower portion of said median contact area (12),

   - P₁₃: the point at the intersection of said axis of symmetry (A) with the inner edge (19) of the lower portion of said median contact area (12),
   said series being characterized in that, regardless of the size of said articles:
   PP_2,9 = a_2,9 ^2,4 x PP_2,4, and/or PP_1,13 = a_1,13 ^5,7 x PP_5,7,
   and/or PP_5,9 = b_5,9 and/or PP_8,9 = a_8,9 ^1,6x PP_1,6,
   and/or PP_9,13 = a_9,13 ^1,6x PP_1,6,
   and/or PP_8,13 = a₈,₁₃ ^1,6x PP_1,6 + a_8,13 ^2,4x PP_2,4 + a_8,13 ^5,7x PP_5,7 + b_8,13,
   and/or PP_12,13 = a_12,13 ^1,6 x PP_1,6 + a_12,13 ^2,4x PP_2,4+ a_12,13 ^5,7x PP_5,7 + b_12,13,
   and/or PP_9,12 = a_9,12 ^1,6 x PP_1,6 + b_9,12 ^1,6, and/or PP_1,9 = a_1,9 ^1,6 xPP_1,6 + b_1,9 ^1,6,
   and/or PP_6,9 = a_6,9 ^2,4 x PP₂, + b_6,9 ^2,4,and/or PP_11,13 = a_11,13 ^1,6 x PP_1,6 + b_11,13 ^1,6,
   and/or PP_10,13= a_10,13 ^1,6 x PP_1,6 + b_10,13 ^1,6,

   wherein PP_i,j is the distance between P_i and P_j for any i and j, and a_2,9 ^2,4 , a_1,13 ^5,7, b_5,9, a_8,9 ^1,6, a_9,13 ^1,6, a_8,13 ^1,6, a_8,13 ^2,4, a_8,13 ^5,7, b_8,13, a_12,13 ^1,6, a_12,13 ^2,4 , a_12,13 ^5,7, b_12,13, a_9,12 ^1,6 _, b_9,12 ^1,6, a_1,9 ^1,6, b_1,9 ^1,6,a_6,9 ^2,4,b_6,9 ^2,4,a_11,13 ^1,6,b_11,13 ^1,6, a_10,13 ^1,6and b_10,13 ^1,6,are predefined real numbers constant to within 5%, preferably to within 3%, regardless of the size of said articles.
10. The series of underwater vision articles according to claim 9, characterized in that a_2,9 ^2,4 = 0.6926, and/or a_1,13 ^5,7= 1.2085, and/or b_5,9 = 40, and/or a₈,₉ ^1,6 = 0.5690, and/or a_9,13 ^1,6 = 0.5534, and/or a_8,13 ^1,6 = 0.1770, and/or a_8,13 ^2,4 - 0.2005, and/or a_8,13 ^5,7 = -0.3168, and/or b_8,13 = -4.6, and/or a_12,13 ^1,6 = 0.0487, and/or a_12,13 ^2,4 = 0.0552 and/or a_12,13 ^5,7 = -0.0872 and/or b_12,13 = -1.3, and/or a_9,12 ^1,6 = 0.5796, and/or b_9,12 ^1,6 - 4.4, and/or a_1,9 ^1,6 = 0.5480, and/or b_1,9 ^1,6 = 24.6, and/or a_6,9 ^2,4 = 0.4813, and/or b_6,9 ^2,4 = -1.5, and/or a_11,13 ^1,6= 0.8781, and/or b_11,13 ^1,6 = 6.4, and/or a_10,13 ^1,6 = 0.7316, and/or b_10,13 ^1,6 = 10.3, regardless of the size of the articles, these values being defined to within 5%, preferably to within 3%.

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