CN106515275A - Compasses - Google Patents
Compasses Download PDFInfo
- Publication number
- CN106515275A CN106515275A CN201611205789.XA CN201611205789A CN106515275A CN 106515275 A CN106515275 A CN 106515275A CN 201611205789 A CN201611205789 A CN 201611205789A CN 106515275 A CN106515275 A CN 106515275A
- Authority
- CN
- China
- Prior art keywords
- supporting leg
- circle
- chassis
- compasses
- connecting rod
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
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Classifications
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B43—WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
- B43L—ARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
- B43L9/00—Circular curve-drawing or like instruments
- B43L9/02—Compasses
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B43—WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
- B43L—ARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
- B43L9/00—Circular curve-drawing or like instruments
- B43L9/007—Circular curve-drawing or like instruments with perforated or marked rulers
Abstract
The invention relates to the field of drawing tools, and aims to provide a pair of compasses. The compasses comprise a first supporting leg, a second supporting leg, a rotary shaft, an inner circle, an outer semicircle, a calibrated scale, a chassis and a connecting rod, wherein the inner circle and the outer semicircle are fixedly arranged on the rotary shaft; the inner circle is internally tangent to the diameter and the circular arc of the outer semicircle; a first slide path is arranged on the periphery of the inner circle; a second slide path is arranged on the periphery of the outer semicircle; the calibrated scale is fixedly arranged on the first supporting leg through a perpendicular sleeve; one end of the connecting rod is fixedly arranged on the circle center of the outer semicircle; the other end of the connecting rod passes through the inner circle and is fixedly equipped with the calibrated scale; a movable pin is arranged on a crossed point of the connecting rod and the second supporting leg; the movable pin can slide along the first slide path; a fixed pin is arranged on a fixed point of the connecting rod and the calibrated scale; the fixed pin slides along the second slide path; and the chassis is perpendicular to the first supporting leg. The compasses have the beneficial effects that: the length of the supporting legs of the compasses and a perpendicular distance from the first supporting leg to the chassis can be automatically set, a radius formula is simplified, and circular-arc drawing under different requirements can be adapted; and an angle of a rotation angle can be directly read.
Description
Technical field
The present invention relates to drawing instrument field, more particularly to a kind of compasses that can measure radius and the anglec of rotation simultaneously.
Background technology
Compasses are one of requisite instruments in Graphing of Engineering and mathematical education, and it is drawing circle or string and chi
The advantages of central accuracy of rule mapping and convenience, appears undoubtedly.The Chinese invention patent of Publication No. 103407313A is disclosed
A kind of Napier's compasses, including compasses rotating shaft, ruler, buckle, compasses draw-in groove, ruler draw-in groove, compasses supporting legs and compasses point composition,
It is characterized in that sliding up and down by being buckled in compasses draw-in groove on compasses, ruler can be fixed and be launched, the chi on ruler
Subcard groove can be combined with each other with buckle and block, so as to ruler is fixed, only need to be by buckle upward sliding, to top during use
When, ruler rotate counterclockwise goes out, you can take out ruler, afterwards, rotates to an angle along rotating shaft and aligns simultaneously with compasses point and nib
And while the neat horizontal plane of patch, it is possible to measure required radius;The present invention does not need other extra rulers to be aided in, it is easy to
Taken radius and length are measured, but the anglec of rotation cannot be measured.Application No. 201210269934.6 discloses a kind of compasses,
Including compasses body and compass foot, it is characterised in that have a tape measure for portraying angle that can be folded in compass foot middle setting;
The compasses that the present invention is provided have the function of measurement angle.There are two defects in existing bipod compasses:One be bipod distance or
The radius of person's circle cannot directly read, and need to measure by rule;Two is the angle or arc length that cannot measure rotation.
Many scholars have also attempted the improvement to compasses various functions, cannot realize compasses and meanwhile show radius and
The function of the anglec of rotation.This intention device is realized while obtaining radius and the anglec of rotation while ensureing that tradition draws circle function
The function of degree, offers convenience to drawing and teaching.
The content of the invention
It is an object of the invention to overcome drawbacks described above, there is provided one kind can measure radius and the anglec of rotation, structure simultaneously
Simply, compasses easy to use.
In order to solve above-mentioned technical problem, the technical solution used in the present invention is:
A kind of compasses, including the first supporting leg, the second supporting leg, rotating shaft, inner circle, outer semicircle, rule, chassis and connecting rod, institute
State inner circle and outer semicircle is fixed in rotating shaft, the center of circle of the inner circle and the center superposition of rotating shaft, the inner circle is respectively with outer half
The circular arc of diameter of a circle and outer semicircle is tangent, and the point of contact of the inner circle and outer half diameter of a circle is the center of circle of outer semicircle, it is described in
Round periphery is provided with the first slideway of annular, and the periphery of the outer semicircle is provided with the second slideway of semi-circular shape, the quarter
Degree chi is fixed on the first supporting leg by vertical set, one end fixation of the connecting rod on the center of circle of outer semicircle, the connecting rod
The other end is passed through inner circle and is fixed with the top of rule, and the intersection point of the connecting rod and the second supporting leg is provided with movable nail, institute
State movable nail to be slidably fixed on the first slideway, the connecting rod is provided with fixed nail with the fixing point of rule, described
Fixed nail is slidably fixed on the second slideway, and the chassis is vertical with the first supporting leg.
Further, second supporting leg is provided with drawing pencil.
Further, the chassis is disk, and the precision of the disk is 1 degree.
Further, the precision of the rule is 1 millimeter.
Further, the spindle central of the pointer on the chassis is overlapped with the end points of the first supporting leg.
Further, first supporting leg and the second supporting leg are telescopic first supporting leg and the second supporting leg.
Further, first supporting leg is adjustable to the vertical dimension on chassis.
The beneficial effects of the present invention is:By the reading for reading rule, directly can be obtained according to the radius formula for deriving
Take circle or arc radius, it is to avoid during rule measurement radius, because of the uncertain and caused direct measurement error in the center of circle;Can be certainly
The length of row setting compass foot, it is adaptable to the circular arc mapping under different requirements, it is not necessary to made using rule and protractor auxiliary
Figure, improves the drawing efficrence of user.Present configuration is simple, easy to use, realizes while obtaining radius and the anglec of rotation
Function.
Description of the drawings
Fig. 1 is the structural representation of embodiment of the present invention compasses.
Fig. 2 is the structural representation of the rule of embodiment of the present invention compasses.
Fig. 3 is the structural representation on the chassis of embodiment of the present invention compasses.
Label declaration:
The first supporting legs of 1-;The second supporting legs of 2-;3- rotating shafts;4- inner circles;The outer semicircles of 5-;6- rules;7- chassis;8- is vertical
Set;The movable nails of 9-;10- fixes nail;11- connecting rods;The first slideways of 41-;The second slideways of 51-;71- pointers.
Specific embodiment
By describing technology contents of the invention, structural features in detail, realizing purpose and effect, below in conjunction with embodiment
And coordinate accompanying drawing to be explained in detail.
The design of most critical of the present invention is:The formula of radius is derived by geometrical relationship, radius and rule is tried to achieve
Between algebraic relation, read rule data in the case of, radius value can be obtained;The angle that pointer on chassis is rotated through
As circular-rotation angle, can directly read.
Refer to shown in Fig. 1, the compasses of the present embodiment, including the first supporting leg 1, the second supporting leg 2, rotating shaft 3, inner circle 4, outer half
Circle 5, rule 6, chassis 7 and connecting rod 11, the inner circle 4 and outer semicircle 5 are fixed in rotating shaft 3, the center of circle of the inner circle 4 with turn
The center superposition of axle 3, the inner circle 4 are tangent with the circular arc of the diameter of outer semicircle 5 and outer semicircle 5 respectively, the inner circle 4 and outer half
The point of contact of the diameter of circle 5 is the center of circle of outer semicircle 5, and the periphery of the inner circle 4 is provided with the first slideway 41 of annular, described outer half
The periphery of circle 5 is provided with the second slideway 51 of semi-circular shape, and the rule 6 is fixed on the first supporting leg 1 by vertical set 8,
One end fixation of the connecting rod 11 on the center of circle of outer semicircle 5, the other end of the connecting rod 11 pass through inner circle 4 and with rule 6
Top fix, the intersection point of the connecting rod 11 and the second supporting leg 2 is provided with movable nail 9, and the movable nail 9 is slidable solid
It is scheduled on the first slideway 41, the connecting rod 11 is provided with fixed nail 10 with the fixing point of rule 6, and the fixed nail 10 is slidably
Be fixed on the second slideway 51, the chassis 7 is vertical with the first supporting leg 1.
As shown in Figure 1:
A points are the fulcrum of the first supporting leg 1;Central point of the B points for rotating shaft 3;C points are the second supporting leg 2 rising perpendicular to chassis 7
Point;O is the center of circle of the fulcrum of the second supporting leg 2, circle as to be drawn or circular arc.
L is the length of the second supporting leg 2, i.e. BA;X is vertical dimension of first supporting leg 1 to chassis 7, i.e. OC;R is will to survey
The radius of amount, i.e. OA;α is the angle between the second supporting leg 2 and connecting rod 11;R is the radius of outer semicircle 5;θ is the first supporting leg 1 and the
Angle between two supporting legs 2, i.e. angle between BA and BC;If the reading of rule 6 is y.
The present invention the course of work be:
1st, measure radius:
Bowlder is drawn, is kept chassis 7 motionless, is opened the second supporting leg 2, i.e. BA, now between the first supporting leg 1 and the second supporting leg 2
Angle is θ, and O points are will draw the round center of circle, OA distance as radius r.The derivation of radius r is as follows:
In Δ ABC, can be obtained according to cosine law formula:AC2=BC2+BA2- 2BA*BC*cos θ,
Because BC=L-x, BA=L, substituting into cosine law formula can obtain:
AC2=2L2-2L*x+x2-2(L-x)*x*cosθ
In Rt Δ AOC, can be obtained according to Pythagorean theorem:OA2=AC2-OC2
Because OC=x, OA2=2L2-2L*x-2(L-x)*x*cosθ
That is OA2=2L* (L-x) * (1-cos θ)
BecauseSo
That is the formula of radius is
In order to try to achieve radius, need to knowValue, can be obtained according to the theorem of angle of circumference, θ=2 α, so
Connecting rod 11 is circumferentially slided along the second slideway 51 with the fixed nail 10 that the fixing point of rule 6 is provided with, because scale
Chi 6 is connected with the first supporting leg 1 by vertical set 8, it is ensured that rule 6 is vertical with the first supporting leg 1 all the time, so outside known partly
In the case of 5 radiuses of circle,
The derivation of summary radius, it is known that the formula of radius is
2nd, measure the anglec of rotation:Need to remain 7 transfixion of chassis and CO in vertical state in use, CO can
It is rotated up in 7 side of vertical chassis with compasses main body.A pointer 71, as shown in Figure 3, graduated disc high scale are fixed in CO bottoms
By every lattice precision mark what a circumference once.During circle is drawn, rotate compasses and drive CO to rotate together, pointer 71 is from zero degree
The number of degrees for beginning to rotate to are circular-rotation angle, can directly read.
Knowable to foregoing description, the beneficial effects of the present invention is:By the radius formula derived, in known outer semicircle
Radius, the length of the second supporting leg and the second supporting leg read the reading of rule, so that it may obtain in the case of the vertical dimension on chassis
To circle or arc radius;Formula is simplified by the numerical value of the corresponding known dimensions of design, rule and radius direct generation is obtained
Number relations, can be directly obtained circle or arc radius by the reading of rule, it is to avoid during rule measurement radius, because of circle
The uncertain and caused direct measurement error of the heart;Can sets itself compass foot length, it is adaptable to it is different require under circular arc
Mapping, it is not necessary to using rule and protractor auxiliary mapping, improve the drawing efficrence of user;Directly read pointer on chassis
The angle of rotation is the number of degrees of the anglec of rotation;Present configuration is simple, easy to use, realizes while obtaining radius and rotation
The function of angle.
Further, second supporting leg 2 is provided with drawing pencil.
Seen from the above description, realize drawing the function of circle or circular arc.
Further, the chassis 7 is disk, and the precision of the disk is 1 degree.
Seen from the above description, the precision of the angle of the anglec of rotation of reading is 1 degree, and high precision, the data for measuring more are defined
Really.
Further, the precision of the rule 6 is 1 millimeter.
Seen from the above description, the precision of the rule of reading is 1 millimeter, and the precision of corresponding radius is also 1 millimeter, is surveyed
Accuracy of measurement is high, and the data for measuring are accurate.
Further, 3 center of rotating shaft of the pointer 71 on the chassis 7 is overlapped with the end points of the first supporting leg 1.
Seen from the above description, overlapped with the end points of the first supporting leg by the spindle central of pointer, it is ensured that pointer is with first
The rotation of the end points of supporting leg and rotate, the number of degrees of the accurate anglec of rotation can be directly read.
Further, first supporting leg 1 and the second supporting leg 2 are telescopic first supporting leg 1 and the second supporting leg 2.
Seen from the above description, the length of the first supporting leg and the second supporting leg can be set as needed, simplify radius public
Formula, the multiple for making radius be rule reading, facilitates the reading of radius.
Further, the vertical dimension on first supporting leg 1 to chassis 7 is adjustable.
Seen from the above description, as needed the vertical dimension of the first supporting leg to chassis can be adjusted, half can be simplified
Footpath formula, is easy to calculating to ask for radius.
Refer to shown in Fig. 1, embodiments of the invention one are:
A kind of compasses, including the first supporting leg 1, the second supporting leg 2, rotating shaft 3, inner circle 4, outer semicircle 5, rule 6,7 and of chassis
Connecting rod 11, the inner circle 4 and outer semicircle 5 are fixed in rotating shaft 3, the center of circle of the inner circle 4 and the center superposition of rotating shaft 3, described
Inner circle 4 is tangent with the circular arc of the diameter of outer semicircle 5 and outer semicircle 5 respectively, and the inner circle 4 with the point of contact of the diameter of outer semicircle 5 is
The center of circle of outer semicircle 5, the periphery of the inner circle 4 are provided with the first slideway 41 of annular, and the periphery of the outer semicircle 5 is provided with half
Second slideway 51 of annular, the rule 6 are fixed on the first supporting leg 1 by vertical set 8, and one end of the connecting rod 11 is solid
It is scheduled on the center of circle of outer semicircle 5, the other end of the connecting rod 11 is passed through inner circle 4 and fixed with the top of rule 6, the connecting rod
11 and second the intersection point of supporting leg 2 be provided with movable nail 9, the movable nail 9 is slidably fixed on the first slideway 41, institute
Stating connecting rod 11 and fixed nail 10 being provided with the fixing point of rule 6, the fixed nail 10 is slidably fixed on the second slideway 51
On, the chassis 7 is vertical with the first supporting leg 1, the end points weight of the spindle central of the pointer 71 on the chassis 7 and the first supporting leg 1
Close, the chassis 7 is disk, and the precision of disk is 1 degree, and the precision of the rule 6 is 1 millimeter, on second supporting leg 2
It is provided with drawing pencil;First supporting leg 1 and the second supporting leg 2 are telescopic first supporting leg 1 and the second supporting leg 2, described first
The vertical dimension on lower limb 1 to chassis 7 is adjustable.For accurate measurement, the present embodiment makes L=10cm, x=1.9cm, R=6cm, thenTherefore radius readings are 3 times of 6 reading of rule, 71 turns of pointer on chassis 7
The angle crossed is selected angle, can directly read.
In sum, the compasses that the present invention is provided, by the radius formula derived, known outer semicircle radius, second
The length of supporting leg and the second supporting leg to the vertical dimension on chassis length in the case of, read the reading of rule, so that it may calculate
Circle or arc radius;By designing outer semicircle radius, the length of the second supporting leg and the second supporting leg to the length of the vertical dimension on chassis
Degree, can simplify radius formula, obtain the algebraic relation between radius and rule reading so that radius for rule reading times
Number, facilitates the reading of radius, therefore circle or arc radius directly can be read on compasses, it is to avoid rule measurement radius
When, because of the uncertain and caused direct measurement error in the center of circle;It is telescopic first to design the first supporting leg and the second supporting leg
Lower limb and the second supporting leg, can sets itself compass foot length, it is adaptable to it is different to require that lower circular arc is mapped, it is not necessary to use scale
Chi and protractor auxiliary mapping, improve the drawing efficrence of user;The angle for directly reading indicators turn on chassis as rotates
The number of degrees of angle;Because the precision of disk is 1 degree, the precision of rule is 1 millimeter so that the essence of the radius and the anglec of rotation of acquisition
Degree is high, and data are more accurate;Present configuration is simple, easy to use, realizes while obtain the function of radius and the anglec of rotation, carries
High drawing efficrence, offers convenience to drawing and teaching.
Embodiments of the invention are the foregoing is only, the scope of the claims of the present invention is not thereby limited, it is every using this
Equivalent structure or equivalent flow conversion that bright description and accompanying drawing content are made, or directly or indirectly it is used in other related skills
Art field, is included within the scope of the present invention.
Claims (7)
1. a kind of compasses, it is characterised in that:Including the first supporting leg, the second supporting leg, rotating shaft, inner circle, outer semicircle, rule, chassis
And connecting rod, the inner circle and outer semicircle be fixed in rotating shaft, the center of circle of the inner circle and the center superposition of rotating shaft, the inner circle point
Not tangent with the circular arc of outer half diameter of a circle and outer semicircle, the point of contact of the inner circle and outer half diameter of a circle is the circle of outer semicircle
The heart, the periphery of the inner circle are provided with the first slideway of annular, and the periphery of the outer semicircle is provided with the second cunning of semi-circular shape
Road, the rule are fixed on the first supporting leg by vertical set, one end fixation of the connecting rod on the center of circle of outer semicircle, institute
The other end of connecting rod is stated through inner circle and is fixed with the top of rule, the connecting rod is provided with and can be lived with the intersection point of the second supporting leg
Dynamic nail, the movable nail are slidably fixed on the first slideway, and the connecting rod is provided with fixation with the fixing point of rule
Nail, the fixed nail are slidably fixed on the second slideway, and the chassis is vertical with the first supporting leg.
2. compasses according to claim 1, it is characterised in that:Second supporting leg is provided with drawing pencil.
3. compasses according to claim 1, it is characterised in that:The chassis is disk, and the precision of the disk is 1 degree.
4. compasses according to claim 1, it is characterised in that:The precision of the rule is 1 millimeter.
5. compasses according to claim 1, it is characterised in that:The spindle central of the pointer on the chassis and the first supporting leg
End points overlap.
6. compasses according to claim 1, it is characterised in that:First supporting leg and the second supporting leg are telescopic first
Supporting leg and the second supporting leg.
7. compasses according to claim 1, it is characterised in that:First supporting leg is adjustable to the vertical dimension on chassis.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
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CN201611205789.XA CN106515275B (en) | 2016-12-23 | 2016-12-23 | A kind of compasses |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
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CN201611205789.XA CN106515275B (en) | 2016-12-23 | 2016-12-23 | A kind of compasses |
Publications (2)
Publication Number | Publication Date |
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CN106515275A true CN106515275A (en) | 2017-03-22 |
CN106515275B CN106515275B (en) | 2017-07-28 |
Family
ID=58337555
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
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CN201611205789.XA Expired - Fee Related CN106515275B (en) | 2016-12-23 | 2016-12-23 | A kind of compasses |
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CN (1) | CN106515275B (en) |
Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4163322A (en) * | 1977-02-05 | 1979-08-07 | Intertech Zeichengerate Gunther Partes Kg | Compass with fine adjustment |
CN2112514U (en) * | 1991-10-31 | 1992-08-12 | 吉林省油田管理局新立采油厂 | Multifunctional stretchable drawing device |
GB2254293A (en) * | 1991-03-21 | 1992-10-07 | Cambridge Ind Ltd | Safety compass for children. |
CN2459182Y (en) * | 2000-11-30 | 2001-11-14 | 才成文 | Compasses capable of wantonly fixing radius of drawn circle |
CN2594035Y (en) * | 2002-12-12 | 2003-12-24 | 陈冠男 | Precisive compass |
CN205326596U (en) * | 2016-01-04 | 2016-06-22 | 华北理工大学 | Multi -functional drawing compass |
-
2016
- 2016-12-23 CN CN201611205789.XA patent/CN106515275B/en not_active Expired - Fee Related
Patent Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4163322A (en) * | 1977-02-05 | 1979-08-07 | Intertech Zeichengerate Gunther Partes Kg | Compass with fine adjustment |
GB2254293A (en) * | 1991-03-21 | 1992-10-07 | Cambridge Ind Ltd | Safety compass for children. |
CN2112514U (en) * | 1991-10-31 | 1992-08-12 | 吉林省油田管理局新立采油厂 | Multifunctional stretchable drawing device |
CN2459182Y (en) * | 2000-11-30 | 2001-11-14 | 才成文 | Compasses capable of wantonly fixing radius of drawn circle |
CN2594035Y (en) * | 2002-12-12 | 2003-12-24 | 陈冠男 | Precisive compass |
CN205326596U (en) * | 2016-01-04 | 2016-06-22 | 华北理工大学 | Multi -functional drawing compass |
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Publication number | Publication date |
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CN106515275B (en) | 2017-07-28 |
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