CN2491245Y - Device for uniform dividing any angle - Google Patents
Device for uniform dividing any angle Download PDFInfo
- Publication number
- CN2491245Y CN2491245Y CN 01226074 CN01226074U CN2491245Y CN 2491245 Y CN2491245 Y CN 2491245Y CN 01226074 CN01226074 CN 01226074 CN 01226074 U CN01226074 U CN 01226074U CN 2491245 Y CN2491245 Y CN 2491245Y
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- angle
- hinge
- connecting rod
- square
- angle square
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Abstract
The utility model discloses a device or apparatus for uniformly dividing and positoning any angle or circular arc inside a plane or drawing uniformly dividing angle in a plane. The utility model connects N+1 uniformly dividing angle squares a by hinge, wherein, N is the number of the uniformly dividing angle squares; a vertical guide groove is arranged on a square of each uniformly dividing angle square; one end of each connecting rod is fixed on uniformly dividing angle squares on points having equal distance to the hinge by a second hinge; idler pulleys are fixed on the other end of each connecting rod by third hinges, thereby forming a congruent triangle by a uniformly dividing angle square, two adjacent uniformly dividing angle squares and the connecting rod.
Description
The utility model relates to a kind of device or instrument that is used for the arbitrarily angled or circular arc in the plane is carried out five equilibrium location or drafting plane sub-multiple angle.
Any five equilibrium is carried out at any angle in the plane, and perhaps in graphic designs is drawn five equilibrium being carried out at any angle in the plane is the operation that often runs in the real work.Carry out 2 for known specific angle in the geometry
n(n=1,2,
) five equilibrium has maturation and simple method, but carry out the still incomparable so far better simply way of any five equilibrium for any angle.In machining, can adopt special indexing means to carry out branch operations such as comparatively accurate angle in the prior art, but this device is not suitable for drawing assignment.
China's utility model patent 94247113,98221655 and 00213995 discloses and has severally had hinge, the isostructural angle of ruler trisection instrument, but these devices can only be divided into trisection with known angle.This class device all has in various degree restriction to the angle that is suitable in addition, causes its use to be subjected to bigger influence.
Chinese invention patent application 94105480 discloses a kind of any five equilibrium instrument of method and a kind of any angle of any sub-multiple angle.This patented method is to utilize on the involute arbitrarily some length of tangent line of its basic circle to equal the long character of its corresponding basic circle circular arc, with one group of parallel lines involute is arrived the length of tangent line five equilibrium of its basic circle, utilizes on the tangent line Along ent with angle or circular arc five equilibrium again.According to this basic thought, this patent inventor discloses a kind of any five equilibrium instrument in any angle that is made of involute plate, T shape line chi, evenly divided line plate etc.The five equilibrium instrument profile of this patent is bigger, and complex structure is not easy to operate, and is not portable yet, and each structure of whole device has error aborning unavoidably, on the other hand arc section is converted into straight line and is difficult to accurate grasp in practical operation.
The purpose of this utility model provides a kind ofly can carry out any five equilibrium to any angle, and structure is simple relatively, the device that precision is high.
Structure of the present utility model is the five equilibrium angle square with hinge and several ruler shapes that link to each other with hinge, the total quantity of branch angle square such as to adopt be N+1, N wherein is the umber of institute's sub-multiple angle, on dividing the blade of angle square, each is provided with along its guide groove longitudinally, on each minute angle square with the hinge that is connected each five equilibrium angle square between etc. strong point be fixed with an end of connecting rod with second hinge, the other end of connecting rod is fixed with guide wheel with the 3rd hinge, described guide wheel is arranged in the guide groove on adjacent another minute angle square and guide wheel can be along guide groove to doing relative motion, equal in length between two hinge tie points on each connecting rod in guide groove.
By above description to the utility model structure as can be known, the utility model is to be fixed together with the branch angle square of hinge with the ruler shape, form the fan shape, again on each minute angle square with the second hinge stationary links, and the other end of connecting rod schedules on the guide wheel by the 3rd hinges fixing, guide wheel then places in the guide groove set on the adjacent branch angle square, make by first hinge fixing any (not comprising that first branch angle square divides angle square with last root on the device) and divide angle square, with and on guide groove in two connecting rods on the movable fixing guide wheel, what be adjacent forms two triangles between two branch angle squares in addition, and because the physical dimension relation of determining, each connecting rod just, each minute, the angle square equal length equated, making these two triangles is congruent triangles, and when these two adjacent minute angle squares separate or dwindle, can make the guide wheel in the guide groove produce corresponding displacement, and guarantee the congruence relation of aforementioned two triangle all the time, so make described this root divide angle square to be in all the time on the angular bisector between adjacent two branch angle squares.And realize the operation of any five equilibrium is carried out at any angle by this structure.
Each hinge arrangement can also be detachable hinge among the embodiment of the present utility model, can assemble device of the present utility model according to different sub-multiple angle situations like this.
The hinge that is positioned among the embodiment of the present utility model on each minute angle square guide groove inner guide pulley can be fixed two connecting rods, the structure that this can simplification device.
The connecting rod that the branch angle square adjacent with a left side links to each other on each minute angle square among the embodiment of the present utility model is positioned at a side of chi face, the connecting rod that the branch angle square adjacent with the right side links to each other then is positioned at the opposite side of chi face, can close up without interfering with each other mutually between each connecting rod guaranteeing when device closes up.Under the more special situation, second hinge that is provided with on each minute angle square and can be designed to corresponding thickness with the 3rd hinge of guide wheel on the adjacent branch angle square of this minute angle square is so that stopping mutually between each connecting rod of unlikely generation or between each connecting rod and branch angle square when dividing angle square to close up.
In the utility model, the overhanging end of angle square is provided with the breach of the V-type that is used to rule in each minute, and its breach is top all to be on same the straight line with the set guide groove longitudinal axis and the pan center of subangle blade.
The utlity model has following advantage:
1, structure is simple relatively, and whole device only is that hinge and rod component constitute;
2, Zhuan Zhi using method is very convenient and simple.The utility model is determined the subangle footage amount of device in use by the umber of institute's subangle, first and last root that will install again divides angle square to align with the both sides of institute subangle, and at this moment angle square promptly indicates the position of each corresponding sub-multiple angle each minute;
3, when the utility model adopts detachable hinge arrangement, the utility model is more convenient for carrying and using;
4, the introduction by above principle as can be known the utility model go for any five equilibrium at any angle because the practice of its dividing any angle is direct geometrical principle fully, gear shaper without theoretical errors produces, and therefore high operating accuracy can be arranged.Particularly when the physical dimension of whole device and cooperatively interact when satisfying relevant requirements, can there be error in whole device when using.
Description of drawings: Fig. 1 is the schematic diagram of an embodiment of the present utility model.Fig. 2 is the upward view of Fig. 1.Fig. 3 to Fig. 5 is the section enlarged diagram of several different structures of guide groove on the subangle blade of the present utility model and guide wheel located therein.Fig. 6 is the geometrical principle schematic diagram that the utility model carries out sub-multiple angle.
The utility model is made detailed explanation in conjunction with the accompanying drawings.
Fig. 1 carries out an embodiment of angle trisection for the utility model, and minute angle square of each among the figure 2 (being illustrated 2-1,2-2,2-3 and 2-4) interfixes with first hinge 1.On each minute angle square 2, respectively be provided with along blade guide groove 3 longitudinally, on each subangle blade, also be fixed with an end of connecting rod 5 (being illustrated 5-1,5-2,5-3 and 5-4) in addition with second hinge 4.The other end of connecting rod 5 is fixed in (do not express guide wheel 7 among Fig. 1, Guiding wheel structure sees 7a and the 7b among Fig. 3-Fig. 5 for details) on the guide wheel with the 3rd hinge 6.Guide wheel is located in the guide groove 3 set on adjacent another minute angle square 2.Each minute angle square 2 top have V-shaped breach 8.Require in the utility model on each connecting rod that length should equate between first, second hinge, should all be on same the straight line with the set guide groove longitudinal axis and the pan center of subangle blade and described v-notch is top.
All hinges all can be dismountable hinges in the utility model, can in use increase or reduce the quantity of branch angle square and connecting rod like this according to the concrete condition of institute's subangle umber.Generally speaking, employed subangle footage amount should equal the subangle umber N of institute and adds one (being that subangle footage amount equals N+1) in the operation of carrying out sub-multiple angle.Certainly the utility model also can be to adopt fixing hinge and fixing subangle footage amount, but like this for using not convenience, because such device can only be used for the angle that five equilibrium is determined umber.
In the concrete structure of the present utility model, the connecting rod that links to each other with adjacent branch angle square on each minute angle square preferably is positioned at a side of this chi face, the connecting rod that the branch angle square adjacent with another links to each other then is positioned at the opposite side of this chi face, make each minute angle square and on connecting rod all be on the different planes, when device closes up, can close up without interfering with each other mutually between each connecting rod like this.When the assembling of first hinge, can between each minute angle square, add pad on the other hand, when closing up, exert an influence mutually between each connecting rod further to prevent each minute angle square.Can be about this point referring to Fig. 2.
Guide wheel of the present utility model can be guide wheel 7a or the 7b on the 3rd hinge 6a or 6c that establishes in addition, but also can directly use triple hinged hinge axis 6b.Latter event lower tumbler 7b can be as Fig. 3 or cross structure shown in Figure 5, also can be the guide wheel 7a of I shape as shown in Figure 4; Guide wheel can also be to be cylindric (this structure is not expression in the drawings).And the guide groove 3 on the subangle blade 2a can be two relative n types, sees Fig. 3 or Fig. 4; Perhaps, blade does not adopt the square-section, and adopts the blade 2b in pipe shape cross section, directly slots on blade, and guide wheel is directly placed in it, shows as Fig. 5.
By accompanying drawing and above statement as can be known, in structure of the present utility model, on any subangle blade, as the 2-2 chi among Fig. 1, by being positioned at first hinge 1 and being arranged at the blade between the 3rd hinge 6-1 of guide groove on it and the 3rd hinge is fixed on it connecting rod 5-1,5-2, be fixed in the second hinge 4-1 on adjacent two minutes angle square 2-1 and the 2-3,4-3, and first hinge and the part blade between second hinge that adjacent two minutes angle squares are positioned on hinge 1 and the adjacent two minutes angle squares constitute two triangles, just Δ 1 (4-1) (6-1) and Δ 1 (4-3) (6-1), and as can be known according to how much requirements of connecting rod of the present utility model, Δ 1 (4-1) is two congruent triangles (6-1) with Δ 1 (4-3) (6-1), and when first minute of the present utility model angle square 2-1 and last root divide angle square 2-4 to open to arbitrary position, all can keep Δ 1 (4-1) (6-1) and (6-1) congruence of Δ 1 (4-3), that is to say that the longitudinal axis of blade 2-2 is the angular bisector of its adjacent two minutes angle square longitudinal axis.In like manner, the longitudinal axis of blade 2-3 is the angular bisector of its adjacent two minutes angle square longitudinal axis.Like this in the embodiment that figure one provides, when one " angle " given regularly, match as long as blade 2-1 and 2-4 opened to these " angle " two sidelines, just can should " angle " be divided into three equal parts by wherein each minute angle square, retouch out point by V-notch set on blade, again the summit line at institute's described point and given " angle " can be finished the five equilibrium operation at angle.When as seen being seven parts simultaneously, only need the subangle footage amount in installing is increased to eight, repeat above operation again, just can realize the work of seven five equilibriums as the umber that needs five equilibrium.
The utility model carries out the sub-multiple angle operation can be referring to Fig. 6.This is a schematic diagram that carries out angle five five equilibriums.
In principle, be N+1 as long as satisfy subangle footage amount, just can realize any angle is carried out the operation of any N five equilibrium.But in the operation of reality, be the situation that is not equal to prime number, can earlier known angle be divided into the P branch, more every P/one jiao is divided into the M five equilibrium, make the product of PM equal N and get final product with less subangle footage amount to N.This method can overcome the inconvenience that institute's subangle uses too much five equilibrium angle square to cause because of need when excessive.
If when the angle umber that is divided is a bigger prime number N (equaling at 29 o'clock) as N, can also adopt method for simplifying as described below when using the utility model: at first adopt (N) individual minute angle square to form a device of the present utility model, and known angle is divided into (N-1) part with this device, and then form another device of the present utility model with (N+2) individual minute angle square, known angle is divided into (N+1) part with this device, the device of using three branch angle squares again one by one each (N-1) divided with (N+1) divide between folded angle bisection be halves, that obviously tried to achieve in this way is (N-1) part of known angle and the arithmetic mean of instantaneous value N of (N+1) part
*Use N
*Come the approximate N of replacement five equilibrium, to realize the angle is divided into the operation of N, the relative error of subangle generation only is N square/one in this case.
Learn as can be known by euclidean geometry, can determine a circle at any 3.According to this principle, can also adopt the utility model that known circular arc is carried out any five equilibrium.When arbitrary circular arc being carried out any five equilibrium operation, only need at first in device, to get any three branch angle squares, on these three branch angle squares, determine three points isometric more respectively with first hinge, again these three points are placed on minute circular arc, by the practice of aforementioned sub-multiple angle, can finish the operation of five equilibrium arbitrary circular arc again.
During the utility model uses its initial line (promptly first minute angle square) relative to its whole limit (being the match point angle square) can rotate nearly 3 π.Therefore, the utility model directly five equilibrium less than angle or the circular arc of 3 π.At angle or the circular arc of five equilibrium greater than 3 π, though since this angle have much, always there is following formula to set up:
φ=2k π ± a (0≤a≤π, k are integer) therefore for any angle or circular arc greater than 3 π, can turn to the angle of finding the solution 2 π ± a or the five equilibrium operation of circular arc.
Connecting rod in the utility model can be made on it adjustable structure of distance between two pin joints, as connecting rod is that two parts are formed, wherein establish on one section and be fixed with screw thread, and another section is fixed with rotating nut, both cooperate the back to regulate the distance between two pin joints on the connecting rod by rotating nut, can carry out the correction of length of connecting rod in use like this, to overcome the error in the manufacturing.
Claims (6)
1, the device of any dividing any angle, comprise hinge and the five equilibrium angle square that links to each other with hinge, the quantity that it is characterized in that the five equilibrium angle square is N+1, N wherein is the umber of institute's sub-multiple angle, each subangle blade is provided with along its guide groove longitudinally, one end of the fixing connecting rod of useful second hinge of strong point such as on each minute angle square and between first hinge, the other end of described connecting rod schedules on the guide wheel with the 3rd hinges fixing, described guide wheel is arranged in the guide groove on another adjacent subangle blade, equal in length between first, second hinge on each connecting rod.
2, the device of any dividing any angle according to claim 1 is characterized in that each used in device hinge is detachable hinge.
3, the device of any dividing any angle according to claim 2 is characterized in that the 3rd hinge can be fixed two connecting rods on the guide wheel.
4, according to the device of claim 1 or 2 or 3 described any dividing any angles, it is characterized in that on each minute angle square that the connecting rod that links to each other with adjacent branch angle square is positioned at a side of this chi face, the connecting rod that the branch angle square adjacent with another links to each other then is positioned at the opposite side of this chi face, can close up without interfering with each other mutually between each connecting rod when device closes up.
5, the device of any dividing any angle according to claim 4, it is characterized in that each minute angle square overhanging end be provided with the breach of V-type, its breach is top all to be on same the straight line with the set guide groove longitudinal axis and the pan center of subangle blade.
6, the device of any dividing any angle according to claim 5 is characterized in that being provided with between first and second hinge on the connecting rod device of adjustable in length between two hinges.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN 01226074 CN2491245Y (en) | 2001-06-05 | 2001-06-05 | Device for uniform dividing any angle |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
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CN 01226074 CN2491245Y (en) | 2001-06-05 | 2001-06-05 | Device for uniform dividing any angle |
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CN2491245Y true CN2491245Y (en) | 2002-05-15 |
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CN 01226074 Expired - Fee Related CN2491245Y (en) | 2001-06-05 | 2001-06-05 | Device for uniform dividing any angle |
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Cited By (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103241039A (en) * | 2012-02-02 | 2013-08-14 | 徐延涛 | Unit angle dividing ruler and method for equally dividing acute angle |
CN103358775A (en) * | 2012-03-30 | 2013-10-23 | 徐延涛 | Unit angle sectioning box ruler and method for evenly sectioning acute angle |
CN104228423A (en) * | 2013-06-18 | 2014-12-24 | 徐延涛 | Broken-axis sliding angular resolver |
CN105059020A (en) * | 2015-08-17 | 2015-11-18 | 郭保德 | Method for equally dividing circumference |
CN110626100A (en) * | 2019-10-10 | 2019-12-31 | 陈仁 | Demonstrator for geometric regression |
CN112060813A (en) * | 2020-09-17 | 2020-12-11 | 淄博职业学院 | Angle divider capable of dividing any angle in multiple equal ways |
CN114604024A (en) * | 2022-03-25 | 2022-06-10 | 王兆民 | Triangular equi-divider |
-
2001
- 2001-06-05 CN CN 01226074 patent/CN2491245Y/en not_active Expired - Fee Related
Cited By (8)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103241039A (en) * | 2012-02-02 | 2013-08-14 | 徐延涛 | Unit angle dividing ruler and method for equally dividing acute angle |
CN103358775A (en) * | 2012-03-30 | 2013-10-23 | 徐延涛 | Unit angle sectioning box ruler and method for evenly sectioning acute angle |
CN104228423A (en) * | 2013-06-18 | 2014-12-24 | 徐延涛 | Broken-axis sliding angular resolver |
CN104228423B (en) * | 2013-06-18 | 2016-02-03 | 徐延涛 | Folding axle slip angle resolver |
CN105059020A (en) * | 2015-08-17 | 2015-11-18 | 郭保德 | Method for equally dividing circumference |
CN110626100A (en) * | 2019-10-10 | 2019-12-31 | 陈仁 | Demonstrator for geometric regression |
CN112060813A (en) * | 2020-09-17 | 2020-12-11 | 淄博职业学院 | Angle divider capable of dividing any angle in multiple equal ways |
CN114604024A (en) * | 2022-03-25 | 2022-06-10 | 王兆民 | Triangular equi-divider |
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C19 | Lapse of patent right due to non-payment of the annual fee | ||
CF01 | Termination of patent right due to non-payment of annual fee |