JPH1134582A - Vertical bisector ruler - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide an excellent ruler for drawing a vertical bisector merely by drawing a line by utilizing a straight line drawing guide at a straight line passing an indication by indicating a bisector point by the indication merely by matching the indication to both ends of a line segment for drawing the bisector, thereby practicing a new theory of a conical curve for drafting with the bisector to simply and accurately draw the conical curve. SOLUTION: The vertical bisector ruler comprises plate-like ruler bodies 3, 4 formed with circular arc grooves 1, 2 of the same radius and arranged in a superposed state and horizontally rotatably constituted at pivotal part 6 as a fulcrum by pivotally securing semicircular arc end positions of the grooves 1, 2 at ends of the bodies 3, 4, a slide intersection 5 slidable along both the grooves 1, 3 provided at an intersection of both the grooves 1, 2, indications 7, 8, 9 and 10 respectively provided at the part 6, intersection 5 and semicircular arc end positions of the opposite sides, and a straight line drawing guide 11 for drawing the straight line for coupling the indications 7, 8 provided at the part 6 and the intersection 5.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION The object of the present invention is to provide a ruler for indicating an envelope which is indispensable for drawing a conic curve, and a midpoint between two points or
A new theory of conic curves that can be drawn easily by drawing a vertical bisector, which is responsive to obtaining a vertical bisector, and that can be drawn with a vertical bisector. Is related to a vertical bisector ruler.

[0002]

2. Description of the Related Art As a result of years of research on conic curves such as parabolas, hyperbolas, and ellipses, the applicant has constructed a conic curve based on one fixed point and one circle, Discover a new theory that it is an envelope drawn from the vertical bisector group of the line segment connecting this fixed point and the circle, and if you draw many vertical bisectors accurately, you can easily draw a conic curve I focused on what I could do.

On the other hand, in general, drawing a vertical bisector requires a compass and a ruler, and drawing a large number of vertical bisectors is troublesome and has a problem in accuracy.

[0004] In addition, although it is possible to draw a diagram by a mathematical calculation such as a quadratic equation or by using a computer, it is not possible to learn the original wonders of geometry and to study geometric properties.

A ruler that can be drawn on paper rather than simply looking at a figure that satisfies the mathematical conditions by computer software is important both in education and in future geometric research.

Therefore, the inventor has already found that the actual value is 2-4247.
No.2 and Japanese Patent Publication No. 6-49397 have proposed a divider that indicates the vertical bisector point. The present invention has been completed by working on the development of a perpendicular bisector ruler which can more easily draw a circle.

In the research leading up to the present invention, the present inventors have proposed the discovery and use of the "third circle" which is indispensable for the conic curve, and have proposed the "third circle" and the perpendicular bisector. And elucidated the parabolic, hyperbolic, and elliptic construction techniques that were constructed with only two focal elements. They have also been demonstrated to have a relative relationship to each other. Various conic curves can be accurately drawn by drawing based on this theory using the present invention.

[0008]

The gist of the present invention will be described with reference to the accompanying drawings.

Plate-shaped rulers 3, 4 having arc grooves 1, 2 having the same radius are formed in a superposed state, and the rulers 3, 4 are arranged in a superposed state.
The two rulers 3, 4 are pivotally connected to each other at the ends of the semicircular arc end portions of the respective arc grooves so as to be horizontally rotatable about the pivot 6 as a fulcrum. A slide crossing portion 5 slidable along both the arc grooves 1.2 is provided at the crossing portion of the arc grooves 1 and 2, and the pivoting portion 6 and the slide crossing portion 5 and the opposite side to the pivoting portion 6 are provided. Indices 7, 8, 9, and 10 are provided at the end positions of the respective semicircular arcs, and a straight line drawing guide that can draw a straight line connecting between the indices 7 and 8 provided on the pivoting portion 6 and the slide crossing portion 5. The present invention relates to a vertical bisector ruler provided with a part 11.

In addition, the crossing portion 5 is connected to the pivot portion 6.
Is configured to be movable along a linear guide groove 16 provided in a member 17 to which the pivot portion 6 is fixed, so that the intersecting portion 5 and the index portions 7 and 8 provided in the pivot portion 6 can be moved. 2. A vertical bisector ruler according to claim 1, further comprising a straight drawing guide portion 11 capable of drawing a connecting straight line.

The indicator 9 or 10 provided at the end of the semicircular arc on the opposite side of the pivot 6.
In addition, a revolving mechanism 15 that is relatively rotatable with respect to the reference portion 13 is provided, and the index portion 10 or 9 provided at the semicircular terminal position opposite to the pivot portion 6 is fixed. 2. A vertical bisector ruler according to claim 1, further comprising a fixing mechanism.

A rotating disk 15 which rotates about the reference portion 13 as a center point is provided as the circling mechanism 15, and the index portion 9
Is configured to rotate about the reference portion 13 together with the rotating disk 15, and the index portion 9 is positioned on a mounted object 18 such as paper which draws a perpendicular bisector placed on the rotating disk 15. The vertical bisector ruler according to claim 3, characterized in that are fixed relative to each other.

A mounting object 18 that draws a perpendicular bisector is placed on the rotating disk 15, and the rotating disk 15 is rotated while the index section 10 is fixed by the fixing mechanism 14, and the index table 10 is rotated. Part 10
The present invention relates to a vertical bisector ruler according to claim 4, characterized in that it is configured to rotate around the reference portion 13 relative to the ornament 18 described above.

Further, a writing instrument is arranged at a position along the straight drawing guide section 11, and the writing instrument is fixed by the fixing mechanism 14 and the reference portion 10 which is fixed by the fixing mechanism 14 and the reference of the center of rotation of the orbiting mechanism 15. A vertical bisector ruler according to claim 5, further comprising a radial movement restricting mechanism (21) for restricting movement on a radial straight line connecting the portion (13).

Further, the rotating mechanism 15 is configured to rotate the index portion 9 around the center of the reference point 13 with respect to the turntable 15.
The vertical bisector ruler according to claim 3, wherein:

[0016]

BEST MODE FOR CARRYING OUT THE INVENTION A preferred embodiment of the present invention (how to implement the invention), which is considered to be the best, will be briefly described with reference to the drawings, showing its operational effects.

The principle of the present invention will be described with reference to FIG.

Two semicircular arcs having the same diameter overlap each other at one end, and the intersection of the semicircular arcs OA and OB is denoted by C.

∠OCA is 90 ° because it is the circumferential angle of a circle whose diameter is line segment OA, and ∠OCB is 90 ° because it is the circumferential angle of a circle whose diameter is line segment OB. , And the line segment OC is a perpendicular to the line segment AB.

Further, since △ OAB is OA = OB, it is an isosceles triangle, so a straight line passing through OC is a perpendicular bisector of the line segment AB.

Therefore, when the rulers 3 and 4 of the vertical bisector ruler of the present invention are slid to align the index portions 9 and 10 with both ends of the line for drawing the vertical bisector, the index portions at this time are 9
3. Since 10 corresponds to AB in FIG. 3, and the index portions 7.8 correspond to OC in FIG. 3, respectively, if a line is drawn by aligning a straight line ruler or the like with a straight line passing through the index portions 7.8 Is a perpendicular bisector.

Further, by providing a straight guide portion 11 which can draw a straight line connecting the index portions 7 and 8, a straight line guide can be obtained simply by aligning the index portions 9 and 10 with both ends of a line for drawing a perpendicular bisector. Since the section 11 shows the line for drawing the vertical bisector, the vertical bisector can be drawn simply and accurately as it is.

The applicant has studied the conic curve for many years, and as a result, the conic curve is composed of one fixed point and one circle, and is an envelope drawn by a perpendicular bisector of a line connecting the fixed point and the circle. I discovered a new theory.

The present applicant has named this circle a "third circle" and has made it possible to easily practice a new theory of the present invention which draws a conic curve by a vertical bisector with a vertical bisector. did.

The following describes how to draw a typical conic ellipse, hyperbola, and parabola using the perpendicular bisector ruler of the present invention and its proof.

[Drawing of Ellipse] A drawing of an ellipse will be described with reference to FIG.

A third circle a whose radius is the length of the major axis of the ellipse
Is drawn, and the center point is set as one focal point F of the ellipse.

Another focal point F 'of the ellipse is arbitrarily provided in the circle of the third circle a, and a straight line A passing through the point F' and intersecting with the third circle a is drawn. the point of intersection and P _1.

An index portion 9 of a perpendicular bisector ruler at the point F ′ · P ₁
- 10 were combined respectively, plot the intersection between the perpendicular bisector y and the straight line FP ₁ Draw a perpendicular bisector Yi segment F'P ₁ as P _'1.

Point P₁Is moved on the third circle a and P_Two, P
_Three.., And thereafter the line segment F'P_Two, F'P_Three···husband
Each vertical bisector and straight line FP_Two, FP_Three... Interchange with each
Point P ' _Two, P '_Three... plotted and plotted points
P '₁, P '_Two, P '_Three... are connected by a smooth line, point F,
An ellipse whose focal point is F 'and whose major axis is the radius of the third circle a
A circle b is drawn.

[Proof of Drawing Ellipse] A proof of drawing an ellipse will be described with reference to FIG.

Assuming that a point on the ellipse is P ', the definition of the ellipse is such that the following relationship is established between the focal points F and F' of the ellipse.

P'F + P'F '= constant In FIG. 5, a point P' is a perpendicular bisector of a line segment F'P connecting an arbitrary point F 'and an arbitrary point P on the third circle a. And a straight line FP connecting the center point F of the third circle a and the point P.

Since the vertical bisector A is a vertical bisector of the line F′P, △ P′PF ′ is an isosceles triangle and P′P
= P'F '.

Therefore, P′F + P′F ′ = FP, and the line segment FP is the radius of the third circle a and is always constant.
Therefore, P′F + P′F ′ = constant, which satisfies the definition of the ellipse.

[How to draw a hyperbola] How to draw a hyperbola will be described with reference to FIG.

A third circle a having a radius equal to the length of the principal axis of the hyperbola b is drawn, and its center point is set as one focal point F of the ellipse.

Another focal point F 'of the hyperbola is arbitrarily provided outside the third circle a, and a straight line A passing through the point F' and intersecting with the third circle a is drawn. to the point of intersection with the respective P _1.

An index part 9 of a bisector ruler perpendicular to the point F ′ · P ₁
- 10 were combined respectively, plot the intersection between the perpendicular bisector y and the straight line FP ₁ Draw a perpendicular bisector Yi segment F'P ₁ as P _'1.

The point P ₁ is moved on the third circle a, and P ₂ , P
₃ and., After likewise line F'P _2, F'P ₃ ··· perpendicular bisector and the line FP ₂ each, FP ₃ ... intersection of the respective P _'2, P _'3 ... were plotted and the plotted points P' _1, P _'2, P' ₃ if Musube a ... a smooth line point F,
A hyperbola b is drawn with F 'as the focus and the length of the main axis as the radius of the third circle a.

[Proof of how to draw a hyperbola] Proof that a hyperbola is drawn will be described with reference to FIG.

When one point on the hyperbola is P ', the definition of the hyperbola is that the following relationship is established between the focal points F and F' of the hyperbola.

| P′FP−P′F ′ | = constant In FIG. 8, a point P ′ is a vertical line of a line segment F′P connecting an arbitrary point F ′ and an arbitrary point P on the third circle a. This is the intersection of the straight line FP connecting the bisector A with the center point F of the third circle a and the point P.

Since the vertical bisector A is a vertical bisector of the line F′P, △ P′PF ′ is an isosceles triangle, and P′P
= P'F '.

Therefore, it is assumed that P'FP-P'F '= FP, and the line segment FP is the radius of the third circle a and is always constant.
Therefore, | P′F−P′F ′ | = constant, which satisfies the definition of the hyperbola.

[How to draw a parabola] How to draw a parabola will be described with reference to FIG.

Draw the focal point F 'of the parabola b and the quasi-line a, and
And the indices 9 and 10 of the perpendicular bisector ruler are respectively aligned with an arbitrary point P ₁ on the quasi-line a to draw a vertical bisector A of the line segment F′P ₁ .

The intersection of the perpendicular A of the quasi-line a passing through the point P ₁ and the perpendicular bisector a is plotted as P ′ ₁ .

The point P ₁ is moved on the quasi-line a to obtain P ₂ , P _3.
.., And thereafter the line segments F′P ₂ , F′P _3, ..., And the respective perpendicular bisectors of points P ₂ , P ₃ ,. The intersection points P ′ ₂ , P ′ ₃ ... Are plotted, and the plotted points P ′ ₁ , P ′ ₂ , P ′ ₃ are connected by a smooth line to obtain a point F ′.
And a parabola b with the straight line a as a quasi-line is drawn.

[Proof of how to draw a parabola] The proof that a parabola is drawn will be described with reference to FIG.

Assuming that a point on the parabola is P ', the definition of a parabola is that the following relationship is established between the point P', the point P on the quasi-line a, and the focal point F '.

P′F ′ = P′P (1) a right angle P′P (2) In FIG. 9, the straight line a passing through the points P and P ′ is a perpendicular line to the quasi-line a. The definition of (2) is satisfied.

Since a is a perpendicular bisector of the line segment PF ', △ P'PF' is an isosceles triangle, so that P'F '=
Since it is P'P, the definition of (1) is also satisfied.

When drawing a parabola, it seems that there is no third circle, but the quasi-line is considered to be a part of the third circle enlarged to ∞, and the parabola is drawn as an ellipse. It can be said that it is a part of the hyperbola.

[Summary] From the above proof of the three types of conic curves, it can be seen that the perpendicular bisector is a tangent to each conic curve.

Further, at the time of drawing each conic curve, the point P continuously moves on the third circle a (on the parabola a in the case of a parabola) and the vertical bisector also moves continuously. The drawn conic meets the following definition. (Definition) When a line continuously moves on a plane while satisfying given conditions and passes through a point or touches a line (or a part or a group thereof),
These points and lines are called envelopes of lines that satisfy the conditions.

In other words, in the method of drawing a vertical bisector of the line connecting the third circle a and the fixed point, by drawing a large number of continuously moving vertical bisectors, The line group draws a conic curve as an envelope.

A circling mechanism 15 is provided on the index portion 9 or the index portion 10 provided at the end of the semicircular arc opposite to the pivot portion 6 so as to be relatively rotatable with respect to the reference portion 13. An indicator 10 provided at a semicircular end position opposite to the pivot 6
Or, since the fixing mechanism 14 for fixing the index portion 9 is provided,
If the reference part 13 is the center point of the third circle, the index part 10 is
Can move around the circumference of the circle, and the index portion 9 can be fixed, so that, for example, a conical curve can be drawn by the following method.

For example, when an ellipse is drawn using the perpendicular bisector ruler of the present invention, first, a third circle having a radius equal to the length of the major axis of the ellipse is drawn, and the center point is set as one focal point F of the ellipse. , Third
Is plotted together with the point F in the circle of the circle.

The index portion 9 of the perpendicular bisector ruler of the present invention is fixed to the point F ', and the index portion 9 itself is fixed.
On the circumference of the third circle. Since the guide portion 11 is also moved at the same time when the index portion 10 is moved on the circumference, it is possible to draw vertical bisectors that move sequentially and continuously, and a group of drawn vertical bisectors Draws the envelope of the ellipse.

When drawing a hyperbola, the focal point F 'is provided outside the circle of the third circle, and when drawing a parabola, a quasi-line is provided instead of the third circle and the focal point F' is determined and drawn.

More specifically, as shown in FIG. 10, for example, a rotating disk that rotates around the reference portion 13 as a center point
15 is attached, and the index unit 9 is configured to be fixed on a mounting object (paper) 18 which draws a vertical bisector placed on the rotating disk 15. The third circle itself can be rotated by aligning the reference portion 13 with the center point (rotation center) of the third circle of the turntable 15. That is, the index portion 9 can be fixed to the paper itself on which the third circle is drawn, and by rotating the index portion 9 together with the paper 18, the index portion fixed to the peripheral portion of the paper 18 can be fixed.
10 can be moved on the circumference of the third circle relatively to the paper 18 and the index portion 9. That is, the focus F
By rotating the paper 18 together (reference point 13) and F '(index portion 9), the point P (index portion 10) on the third circumference, which is relatively fixed, moves along this circumference. This means that a vertical bisector (envelope) or a P 'point to be obtained on this line can be drawn or plotted while moving the P point, so that an ellipse can be drawn. In other words, a paper 18 is laid on the rotating disk 15 whose rotation center point is the center point of the third circle, and this center point is set as the focal point F, and an arbitrary position within the circle of the third circle is set as the focal point F '. And This F 'is
Is positioned directly below the arm piece 19 projecting outward from the center of the arm. Then, the index portion 9 of the perpendicular bisector ruler of the present invention is fixed on the arm piece 19 above this point F ′ (the reference portion 13 is the center point F) and fixed outside the turntable 15. The other index portion 10 is fixed to the arm piece 20 protruding inward from the fixed portion 14. Immediately below the index portion 10 is a point P on the third circumference,
Accordingly, the radius of the third circle is the distance from the center point F of the turntable 15 to just below the index portion 10.

As described above, the index portion 10 is fixed, but the point F ′ (the index portion 9) is rotated together with the paper 18 by rotating the turntable 15. Therefore, if the vertical bisector of the index portion 9 and the index portion 10 is drawn along the straight drawing guide portion 11 while rotating the turntable 15, The drawn vertical bisector group becomes an elliptical envelope group.

In the case of a hyperbola, the rotating disk 15 is fixed, and the arm piece 19 protruding outward from the center of the rotating disk 15 is rotated about a center point F to obtain a perpendicular bisector. Is the hyperbolic envelope. That is, in this case, the index portion 9 on the arm piece 19 becomes the point P, and the fixed index portion 10
Is the focal point F ′, and the distance between the center point F and the point P directly below the index section 9 is the radius of the third circle.

As described above, the rotating disk 15 is rotated by the present apparatus, or an arbitrary point (fixed point on the arm piece 19) on the rotating disk 15 is rotated without rotating the rotating disk 15. Thus, if vertical bisectors are drawn one after another using this ruler, ellipses and hyperbolic envelopes can be easily drawn. How to use this ruler, how to move and fix each point (the structure of the orbiting mechanism 15 and the fixing mechanism 14), or how to use it,
The present invention can be appropriately designed without being limited to the above-mentioned use examples.

[0066]

DESCRIPTION OF THE PREFERRED EMBODIMENTS Specific embodiments of the present invention will be described with reference to the drawings.

The plate-like rulers 3.4 formed with the arc grooves 1.2 having the same radius are disposed in a superposed state.
4 and the end portions of the semicircular arcs of the arc grooves 1 and 2 are pivotally connected to each other so that the two rulers 3 and 4 are horizontally rotatable about the pivoted position. A slide crossing portion 5 slidable along the two arc grooves 1 and 2 is provided at the crossing portion of the two arc grooves 1 and 2, and the pivot portion 6, the slide cross portion 5, and the pivot portion 6 are provided. The indicator portions 7, 8, 9, and 10 are pivotally connected to the end positions of the semicircular arcs on the opposite side to the index portions 9 and 10, respectively, so that the indicator portions 9 and 10 are aligned with both ends of a line that draws a perpendicular bisector. If you draw a line with a straight ruler that passes through 7.8, you can draw a perpendicular bisector.

The arc grooves 1 and 2 are provided in a semicircular shape,
Numeral 4 is made of a transparent acrylic resin and is formed in a semicircular shape or a semicircular shape along the shape of the arc grooves 1 and 2.

The rulers 3 and 4 are arranged in a superposed state in which the respective arc grooves 1 and 2 cross in the opposite direction.

The index portions 7, 8, 9, and 10 are configured so that the legs protrude so that the ruler bodies 3.4 become horizontal below the mounting portions, and the inclination of the ruler bodies 3, 4 is adjusted. The error due to is prevented.

Further, by providing the tip of the foot in a needle shape, the index portions 7, 8, 9, and 10 can easily indicate a target index position with high accuracy, and the needle portion is considered in consideration of wear of the needle tip. The tip may be provided, for example, by a spring device so as to be freely protruded.

By providing a linear drawing guide portion 11 which can draw a straight line connecting between the index portions 7 and 8 provided on the pivoting portion 6 and the slide crossing portion 5, the index portions 9 and 10 can be vertically aligned. It shows the line to draw the dividing line, so you can easily draw the perpendicular bisector as it is.

The straight drawing guide portion 11 is provided with a straight ruler 17 having a straight guide groove 16 at the center so that the index portions 7 and 8 move along the straight groove, and draws a line along the straight guide groove 16. In this manner, a vertical bisector is drawn so as to indicate a line for drawing a vertical bisector. The configuration of the straight drawing guide section 11 can be appropriately designed.

Specifically, for example, as shown in FIG. 2, a straight ruler edge 11A is provided directly below the straight guide groove 16 so that a pen is inserted and a vertical bisector along the index portions 7 and 8 is easily drawn. It is good also as a configuration.

A turning mechanism 15 is provided on the index portion 9 provided at one semicircular terminal end position on the opposite side of the pivot portion 6 so as to be rotatable with respect to a reference portion 13 provided at an arbitrary position. An indicator 10 provided at the other semicircular end position on the opposite side of the pivot 6
Is provided with a fixing mechanism section 14.

The reference portion 13 may be provided as a center point of the turntable 15 through the index portion 9 via a member having an appropriate expansion / contraction structure, and can correspond to various focal lengths of a conical curve.

The fixing mechanism 14 fixes the indicator 10 itself so as not to move.

A turntable 15 that rotates about the reference portion 13 is provided, and the index portion 9 is fixed to a mount 18 that draws a perpendicular bisector placed on the turntable 15. It is configured as follows.

The object 18 such as paper is removably contacted and fixed to a rotating surface on the rotating disk 15.

Therefore, more specifically, as shown in FIG. 10, for example, as shown in FIG. 10, a turntable 15 that rotates around the reference portion 13 is provided, and the index portion 9 is mounted on the turntable 15. It is configured to be fixed on a placed object (paper) 18 that draws the placed vertical bisector. The third circle itself can be rotated by aligning the reference portion 13 with the center point (rotation center) of the third circle of the turntable 15. That is, the index portion 9 can be fixed to the paper itself on which the third circle is drawn, and by rotating the index portion 9 together with the paper 18, the index portion 10 fixed to the peripheral portion of the paper 18 can be fixed. It is possible to move on the circumference of the third circle relatively to the paper 18 and the index portion 9. That is,
By rotating the focal points F (reference point 13), F '(index part 9) and the paper 18 together, a relatively fixed point P (index part 10) on the third circumference is this circle. By moving on the circumference, it is possible to draw or plot the perpendicular bisector (envelope) and the P 'point to be obtained on this line while moving the P point, so that an ellipse can be drawn. . In other words, a paper 18 is laid on the rotating disk 15 whose rotation center point is the center point of the third circle, and this center point is set as the focal point F, and an arbitrary position within the circle of the third circle is set as the focal point F '. And This F '
It is positioned directly below the arm piece 19 projecting outward from the center of the turntable 15. Then, the index portion 9 of the perpendicular bisector ruler of the present invention is fixed on the arm piece 19 above this point F ′ (the reference portion 13 is the center point F) and fixed outside the turntable 15. The other index portion 10 is fixed to the arm piece 20 protruding inward from the fixed portion 14. Immediately below the index portion 10 is a point P on the third circumference, and accordingly, the radius of the third circle is the distance from the center point F of the turntable 15 to immediately below the index portion 10.

As described above, the index portion 10 is fixed, but the point F ′ (the index portion 9) rotates together with the paper 18 by rotating the turntable 15. Since the index portion 9 is fixed and the index portion 10 rotates on the circumference of the third circle, the vertical bisector of the index portion 9 and the index portion 10 is
By drawing along the straight drawing guide portion 11 while turning 15, the drawn vertical bisector group becomes an elliptical envelope group.

Also, an ellipse can be displayed by drawing an envelope group, or an ellipse can be drawn by plotting the point P 'on the envelope group. However, the present invention automatically changes the ellipse only by moving the ruler. We have also found a configuration that allows us to draw beautifully.
First, to explain this, FIG. 11 shows a process for drawing an envelope of an ellipse.

In FIG. 11, the center of the third circle is F
₂ (focal point), another reference point in the third circle is F ₁ ,
The point on the circumference of the circle of H is H, and the perpendicular bisector (envelope) between H and F ₁ is HL, and HF _{2 which} is the locus point of the ellipse
The intersection of the line segment and the HL is P (P 'in the above description)
And

Then, instead of moving H, F _{1 is changed} to F ₂
, And is an explanatory view similar to the above embodiment.

As can be seen from FIG. 11, the point P is F ₂ H
On the radius passing through the third circle and H.

Therefore, the writing instrument is configured to be arranged at a position along the straight drawing guide section 11, and the pointing section 10 and the circling mechanism 15 are fixed to the writing instrument by the fixing mechanism 14.
If a configuration is provided in which a radial movement restricting mechanism 21 for restricting movement on a radial straight line connecting with the reference portion 13 of the center of rotation is provided, a clean ellipse can be obtained with a writing instrument only by moving the ruler. I can draw.

For example, as shown in FIG. 12, the elliptical automatic drawing device can be easily provided by configuring the radius movement restricting mechanism 21 so as to restrict the radius between the index portion 10 and the reference portion 13 fixed by the fixing mechanism 14. become.

In the case of a hyperbola, the rotating disk 15 is fixed, and the arm piece 19 protruding outward from the center of the rotating disk 15 is rotated about a center point F, thereby forming a perpendicular bisector. Is the hyperbolic envelope. That is, in this case, the index portion 9 on the arm piece 19 becomes the point P, and the fixed index portion 10
Is the focal point F ′, and the distance between the center point F and the point P directly below the index section 9 is the radius of the third circle.

As described above, this apparatus can be used to rotate the turntable 15 or to rotate an arbitrary point (fixed point on the arm piece 19) on the turntable 15 without turning the turntable 15. so,
Drawing vertical bisectors one after another using this ruler makes it easy to draw elliptical and hyperbolic envelopes. How to use this ruler, how to move and fix each point (the structure of the orbiting mechanism 15 and the fixing mechanism 14), or how to use the ruler, can be appropriately designed without being limited to the above-mentioned use example.

[0090]

As described above, according to the present invention, plate-like rulers each having an arc groove having the same radius are arranged in a superposed state. The two ends of the semicircular arcs are pivotally connected to each other, and both rulers are configured to be horizontally rotatable about the pivotal position, and can be slid along the two arc grooves at the intersection of the two arc grooves. Since the slide crossing portion is provided, and the index portion is pivotally mounted at the end of the semicircular arc opposite to the pivot crossing portion and the slide crossing portion and the pivoting portion, both ends of the line segment that draws a perpendicular bisector The index part indicates the vertical bisecting point simply by aligning the index part with each other, so a vertical bisector can be drawn just by drawing a line using a straight drawing guide part on a straight line passing through the index part Becomes a bisector ruler.

That is, since the linear drawing guide portion which can draw a straight line connecting the index portions provided at the pivot portion and the slide intersection portion is provided, both ends of the line segment for drawing the perpendicular bisector are provided. The straight-line drawing guide section shows the line that draws a perpendicular bisector by simply aligning the index sections with the, so that the vertical bisector can be easily and accurately drawn as it is. Becomes a bisector ruler.

According to the third, fourth, fifth, sixth and seventh aspects of the present invention, not only can a vertical bisector be drawn simply and accurately, but also a conic curve drawn by the vertical bisector can be drawn. It is an excellent tool that can easily and accurately draw conic curves by practicing the new theory.

In the invention according to the sixth aspect, an ellipse can be drawn finely, and a so-called automatic ellipse drawing apparatus can be provided.

[Brief description of the drawings]

FIG. 1 is a schematic plan view of the present embodiment.

FIG. 2 is a schematic perspective view of the present embodiment.

FIG. 3 is an explanatory diagram of a perpendicular bisector of the present embodiment.

FIG. 4 is an explanatory diagram for producing an elliptical envelope according to the present embodiment.

FIG. 5 is a proof explanatory diagram of production of an elliptical envelope of the present embodiment.

FIG. 6 is a diagram illustrating the production of a hyperbolic envelope according to the present embodiment.

FIG. 7 is a proof explanatory diagram of preparation of a hyperbolic envelope according to the present embodiment.

FIG. 8 is an explanatory diagram of manufacturing a parabolic envelope of the present embodiment.

FIG. 9 is a proof explanatory diagram of the production of an envelope of a parabola of the present embodiment.

FIG. 10 is a schematic configuration explanatory perspective view of the present apparatus configured to be able to draw an elliptical and hyperbolic envelope of the present embodiment.

FIG. 11 is an explanatory diagram illustrating a case of drawing an ellipse according to the present embodiment.

FIG. 12 is an explanatory diagram showing that an ellipse drawing apparatus that can automatically draw an ellipse according to the present embodiment can be provided.

[Explanation of symbols]

 1.2 Circular arc groove 3.4 Ruler body 5 Slide crossing part 6 Joint part 7.8.9.10 Indicator part 11 Straight drawing guide part 13 Reference part 14 Fixing mechanism part 15 Turntable 16 Linear guide groove 17 Fixed member 18 Placement (paper)

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[Procedure amendment]

[Submission date] August 18, 1997

[Procedure amendment 1]

[Document name to be amended] Statement

[Correction target item name] 0043

[Correction method] Change

[Correction contents]

| P′FP−P′F ′ | = constant In FIG. 7, a point P ′ is a vertical line of a line segment F′P connecting an arbitrary point F ′ and an arbitrary point P on the third circle a. This is the intersection of the straight line FP connecting the bisector A with the center point F of the third circle a and the point P.

[Procedure amendment 2]

[Document name to be amended] Statement

[Correction target item name] 0078

[Correction method] Change

[Correction contents]

A turntable 15 that rotates about the reference portion 13 is provided, and the index portion 9 is fixed to a mount 18 that draws a perpendicular bisector placed on the turntable 15. It is configured as follows.

[Procedure amendment 3]

[Document name to be amended] Statement

[Correction target item name] 0085

[Correction method] Change

[Correction contents]

As can be seen from FIG. 11, point P is F ₂ H
Above, that is, on the radius through H and the center of the third circle.

Claims (7)

[Claims] 1. A plate-like ruler body in which arc grooves having the same radius are formed is disposed in a superposed state, and the ends of the ruler bodies and the positions of the semicircular terminal portions of the arc grooves are pivoted with each other. The two rulers are configured so as to be horizontally rotatable about the pivot portion, and the intersection of the two arc grooves is provided with a slide intersection that can slide along the two arc grooves. An index portion is provided at the end of the semicircular arc opposite to the attachment portion, the slide crossing portion, and the pivoting portion, and a straight line connecting the indexing portions provided at the pivoting portion and the slide crossing portion can be drawn. A vertical bisector ruler provided with a straight drawing guide portion. 2. The crossing part is configured to be movable along a linear guide groove provided in a member to which the pivoting part is fixed with respect to the pivoting part, so that the crossing part and the pivoting part can be moved. 2. The vertical bisector ruler according to claim 1, further comprising a straight line drawing guide portion that can draw a straight line connecting the provided index portions. 3. A circling mechanism that is relatively rotatable with respect to a reference portion is provided on the index portion or the index portion provided at one semicircular end position on the opposite side to the pivot portion. The vertical bisector ruler according to claim 1, further comprising an index portion provided at the semicircular end position opposite to the pivot portion, or a fixing mechanism for fixing the index portion. 4. A rotating disk that rotates about the reference portion as a center point is provided as the orbiting mechanism, and the index portion is configured to rotate about the reference portion together with the rotating disk, and 4. The vertical bisector ruler according to claim 3, wherein the index portion is relatively fixed to a placed object such as a paper which draws a vertical bisector placed on the ruler. 5. A mounting object that draws a perpendicular bisector is placed on the turntable, and the turntable is rotated in a state where the index portion is fixed by the fixing mechanism, and the index portion is moved to a reference portion. The vertical bisector ruler according to claim 4, wherein the ruler is configured to rotate around the center relative to the ornament. 6. A writing tool can be arranged at a position along the straight drawing guide portion, and connects a pointing portion, which is fixed by the fixing mechanism, to a reference portion of a center of rotation of the circling mechanism. 6. The vertical bisector ruler according to claim 5, further comprising a radial movement restricting mechanism for restricting movement on a radial straight line. 7. The vertical bisector ruler according to claim 3, wherein the orbiting mechanism is configured to rotate the index portion around the center of the reference point with respect to the turntable.