CN103600607A - Trisecting instrument for optional angles - Google Patents
Trisecting instrument for optional angles Download PDFInfo
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- CN103600607A CN103600607A CN201310611678.9A CN201310611678A CN103600607A CN 103600607 A CN103600607 A CN 103600607A CN 201310611678 A CN201310611678 A CN 201310611678A CN 103600607 A CN103600607 A CN 103600607A
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- Prior art keywords
- side rods
- interior side
- instrument
- vertical
- trisecting
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Abstract
The invention discloses a trisecting instrument for optional angles, and belongs to the technical field of measuring tools. The trisecting instrument comprises two inner side rods with equal lengths and two outer side rods with equal lengths. The two inner side rods are connected with the two outer side rods by a fixed shaft and can rotate around a common axis, and the two outer side rods are positioned on the outsides of the two inner side rods. Four completely identical vertical sliders are respectively connected onto the two inner side rods and the two outer side rods and can axially linearly move along the outer side rods and the inner side rods respectively. Vertical slide bars are respectively fixedly connected onto the vertical sliders, the axes of the vertical sliders are coincided with the perpendicular bisectors of the vertical slide bars, and the four vertical slide bars are serially connected with one another by three movable shafts in pair. The trisecting instrument has the advantages that the optional angles in planes can be trisected by the trisecting instrument, the trisecting instrument is reasonable in design, high in precision, small in size, convenient to use, simple in structure and easy to machine, and conforms to a scientific principle, and the optional angles can be accurately trisected.
Description
Technical field
The present invention relates to a kind of construction with ruler and compasses instrument, particularly a kind of can be by the drawing instrument of arbitrary angle in plane trisection.
Background technology
A common angle by plane is carried out two deciles and can be realized by the straightforward procedure of construction with ruler and compasses, and the random angle in plane angle is carried out to trisection very scabrous problem in construction with ruler and compasses really, the trisection of an angle was once called as one of " large how much difficult problems in ancient times three ", although people have also found some to utilize construction with ruler and compasses to realize the method for the trisection of an angle at present, but the common step of these methods is complicated, implement loaded down with trivial detailsly, and precision is lower.
Summary of the invention
The object of the present invention is to provide a kind of simple to operate, can high accuracy must be by the drawing tool of arbitrary angle in plane trisection.
To achieve these goals, the present invention has taked following technical scheme:
A kind of Trisection instrument for arbitrary angle, it comprises the outboard beam 2 of interior side lever 8 and two equal lengths of two equal lengths, two interior side levers 8 and two outboard beam 2 link together by dead axle 1, and can rotate around common axis, and two outboard beam 2 are positioned at the outside of two side levers 8.In two interior side levers 8 and two outboard beam 2, be connected with respectively four identical vertical slippers 5, vertical slipper 5 can be respectively along the axial linear movement of outboard beam 2 or interior side lever 8.On vertical slipper 5, be connected with respectively vertical slide bar 4, the axis of vertical slipper 5 overlaps with the perpendicular bisector of vertical slide bar 4, being serially connected by three moving axis 6 between any two of four vertical slide bars 4.On two interior side levers 8, also symmetry is also connected with in 7, two outboard beam 2 of two identical interior side lever Extension Heads symmetry respectively and is connected with two identical interior side lever Extension Heads 3 respectively, and under original state the end concurrent of four Extension Heads.
During use, first the axle center of the dead axle of Trisection instrument for arbitrary angle 1 is overlapped with the summit of halved plane angle, front and back promote vertical slide bar 4, two outboard beam Extension Heads 3 are overlapped with two limits at halved angle respectively away from one end of outboard beam 2, now two interior side lever Extension Heads 7 are 2 points on two trisection lines away from one end of interior side lever 8, and the summit that connects respectively two Along ents and halved angle has obtained two trisection lines of random angle.
The present invention can trisection cutting plane in random angle, reasonable in design, precision is high, cuts apart accurate volume small and exquisite, easy to use, easy processing simple in structure, meets the principles of science.
Accompanying drawing explanation
Fig. 1 system architecture schematic diagram of the present invention
Fig. 2 geometrical model figure of the present invention
In figure: 1, dead axle; 2, outboard beam; 3, outboard beam Extension Head; 4, vertical slide bar; 5, vertical slipper; 6, moving axis; 7, interior side lever Extension Head; 8, interior side lever.
The specific embodiment
In conjunction with Fig. 1-Fig. 2, the present invention will be further described:
A kind of Trisection instrument for arbitrary angle comprises that the interior side lever 8 of two equal lengths and 2, two interior side levers 8 of the outboard beam of two equal lengths and two outboard beam 2 link together by dead axle 1, and can rotate around common axis.In two interior side levers 8 and two outboard beam 2, be connected with respectively four identical vertical slippers 5, vertical slipper 5 can be respectively along the axial linear movement of outboard beam 2 or interior side lever 8.On vertical slipper 5, be connected with respectively vertical slide bar 4, the axis of vertical slipper 5 overlaps with the perpendicular bisector of vertical slide bar 4, being serially connected by three moving axis 6 between any two of four vertical slide bars 4.On two interior side levers 8, also symmetry is connected with two identical interior side lever Extension Heads 7 respectively, in two outboard beam 2, also symmetry is connected with two identical interior side lever Extension Heads 3 respectively, and under original state four Extension Heads away from one end end concurrent of inside and outside side lever.During use, first the axle center of the dead axle of Trisection instrument for arbitrary angle 1 is overlapped with the summit of halved plane angle, front and back promote vertical slide bar 4, two outboard beam Extension Heads 3 are overlapped with two limits at halved angle respectively away from one end of outboard beam 2, now two interior side lever Extension Heads 7 are 2 points on two trisection lines away from one end of interior side lever 8, and the summit that connects respectively two Along ents and halved angle has obtained two trisection lines of random angle.
In conjunction with Fig. 2, prove the correctness of principle:
The axis of known vertical slipper 5 overlaps with the perpendicular bisector of vertical slide bar 4, and being serially connected by three moving axis 6 between any two of four vertical slide bars 4, so α
1=3 α
2.
Respectively with containing β
1, β
2, a, the formula of b represents α
1, α
2,
Obtain: α
1=a+ β
1+ β
2=3 (β
2+ b)=3 α
2
Abbreviation: β
1=2 β
2+ 3b-a
Because, Trisection instrument for arbitrary angle under original state four Extension Heads away from one end concurrent of inside and outside side lever, so 3b=a.Substitution formula β
1=2 β
2+ 3b-a obtains:
β
1=2 β
2, having proved that two interior side lever Extension Heads 7 are 2 points on two trisection lines away from one end of interior side lever 8, the summit that connects respectively two Along ents and halved angle has obtained two trisection lines of random angle, and described all letters are angle and represent.
Claims (1)
1. a Trisection instrument for arbitrary angle, it is characterized in that: it comprises the outboard beam (2) of interior side lever (8) and two equal lengths of two equal lengths, two interior side levers (8) and two outboard beam (2) link together by dead axle (1), and can rotate around common axis, two outboard beam (2) are positioned at the outside of two side levers (8); In two interior side levers (8) and two outboard beam (2), be connected with respectively four identical vertical slippers (5), vertical slipper (5) can be respectively along the axial linear movement of outboard beam (2) or interior side lever (8).On vertical slipper (5), be connected with respectively vertical slide bar (4), the axis of vertical slipper (5) overlaps with the perpendicular bisector of vertical slide bar (4), being serially connected by three moving axis (6) between any two of four vertical slide bars (4).On two interior side levers (8), also symmetry is connected with two identical interior side lever Extension Heads (7) respectively, in two outboard beam (2), also symmetry is connected with two identical interior side lever Extension Heads (3) respectively, and under original state the end concurrent of four Extension Heads.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201310611678.9A CN103600607B (en) | 2013-11-26 | 2013-11-26 | Trisection instrument for arbitrary angle |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201310611678.9A CN103600607B (en) | 2013-11-26 | 2013-11-26 | Trisection instrument for arbitrary angle |
Publications (2)
Publication Number | Publication Date |
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CN103600607A true CN103600607A (en) | 2014-02-26 |
CN103600607B CN103600607B (en) | 2016-04-06 |
Family
ID=50118902
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
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CN201310611678.9A Expired - Fee Related CN103600607B (en) | 2013-11-26 | 2013-11-26 | Trisection instrument for arbitrary angle |
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Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20180201050A1 (en) * | 2018-02-06 | 2018-07-19 | Ronald Harvey Rosenfield | Angle trisector, as validated to perform accurately over a wide range of device settings by a novel geometric forming process; also capable of portraying finite lengths that only could be approximated by means of otherwise applying a compass and straightedge to a given length of unity; that furthermore functions as a level whose inherent geometry could be adapted for many other uses such as being incorporated into the design of a hydraulic car lift |
CN110626100A (en) * | 2019-10-10 | 2019-12-31 | 陈仁 | Demonstrator for geometric regression |
CN114604024A (en) * | 2022-03-25 | 2022-06-10 | 王兆民 | Triangular equi-divider |
Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO1994004377A1 (en) * | 1992-08-25 | 1994-03-03 | Fen Chen | Trisector |
JP2000043490A (en) * | 1998-07-31 | 2000-02-15 | Tokai Univ | Angular equal divider and circle center decider |
CN2519736Y (en) * | 2001-12-14 | 2002-11-06 | 怀莲 | Arbitray angle divider |
JP2008207531A (en) * | 2007-02-26 | 2008-09-11 | Shigeo Satake | Equally angle-dividing device of arbitrary angle |
CN201423843Y (en) * | 2009-03-10 | 2010-03-17 | 曹容瀚 | Angle trisecting unit |
-
2013
- 2013-11-26 CN CN201310611678.9A patent/CN103600607B/en not_active Expired - Fee Related
Patent Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO1994004377A1 (en) * | 1992-08-25 | 1994-03-03 | Fen Chen | Trisector |
JP2000043490A (en) * | 1998-07-31 | 2000-02-15 | Tokai Univ | Angular equal divider and circle center decider |
CN2519736Y (en) * | 2001-12-14 | 2002-11-06 | 怀莲 | Arbitray angle divider |
JP2008207531A (en) * | 2007-02-26 | 2008-09-11 | Shigeo Satake | Equally angle-dividing device of arbitrary angle |
CN201423843Y (en) * | 2009-03-10 | 2010-03-17 | 曹容瀚 | Angle trisecting unit |
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20180201050A1 (en) * | 2018-02-06 | 2018-07-19 | Ronald Harvey Rosenfield | Angle trisector, as validated to perform accurately over a wide range of device settings by a novel geometric forming process; also capable of portraying finite lengths that only could be approximated by means of otherwise applying a compass and straightedge to a given length of unity; that furthermore functions as a level whose inherent geometry could be adapted for many other uses such as being incorporated into the design of a hydraulic car lift |
US10994569B2 (en) * | 2018-02-06 | 2021-05-04 | Ronald Harvey Rosenfield | Angle trisector, as validated to perform accurately over a wide range of device settings by a novel geometric forming process; also capable of portraying finite lengths that only could be approximated by means of otherwise applying a compass and straightedge to a given length of unity; that furthermore functions as a level whose inherent geometry could be adapted for many other uses such as being incorporated into the design of a hydraulic car lift |
CN110626100A (en) * | 2019-10-10 | 2019-12-31 | 陈仁 | Demonstrator for geometric regression |
CN114604024A (en) * | 2022-03-25 | 2022-06-10 | 王兆民 | Triangular equi-divider |
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CN103600607B (en) | 2016-04-06 |
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Granted publication date: 20160406 Termination date: 20191126 |