CN203126261U - Arbitrary angle trisection drawing board - Google Patents
Arbitrary angle trisection drawing board Download PDFInfo
- Publication number
- CN203126261U CN203126261U CN 201320085342 CN201320085342U CN203126261U CN 203126261 U CN203126261 U CN 203126261U CN 201320085342 CN201320085342 CN 201320085342 CN 201320085342 U CN201320085342 U CN 201320085342U CN 203126261 U CN203126261 U CN 203126261U
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- CN
- China
- Prior art keywords
- transparency carrier
- circle
- line
- transparent substrate
- circles
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Abstract
The utility model discloses an arbitrary angle trisection drawing board and relates to a drawing board. The arbitrary angle trisection drawing board is provided with a transparent substrate. The transparent substrate is provided with a pattern mark. The pattern mark is provided with a transparent central line and two circles. The two circles are the same in radius. The two circles are intersected to form two intersection points. The distance between circle centers of the two circles is larger than the radius of the circles. The two intersection points are located on the transparent substrate central line. Using the transparent substrate central line as a datum line, each circle is provided with one inclined tangent. The two inclined tangents are symmetrically arranged. The inclined tangent of each circle passes through the circle center of the other circle and the lower apex of the transparent substrate central line. The intersection point of the two inclined tangents is the lower apex of the transparent substrate central line. The upper portion of the transparent substrate is provided with three through holes. One through hole is formed in the upper portion of the transparent substrate central line. The other two through holes are formed in the tangency point of the two inclined tangents. The arbitrary angle trisection drawing board has the remarkable advantages of being simple in structure, convenient to operate, high in accuracy, and the like, and has good popularization and application value.
Description
Technical field
The utility model relates to a kind of drawing board, especially relates to a kind of any angle trisection drawing board.
Background technology
Be three big how much difficult problems that Greeks propose with construction with ruler and compasses with any angle trisection.Using algebraic method as far back as Fan Qier in 1837 has proved: " can not be with any angle trisection with construction with ruler and compasses." " impossible " can be become " possibility ", this problem is attracting many people to go research.The patent application of relevant trisection of an angle instrument at present has many, but generally all is to utilize than complex mechanical construction, map numerous and diverse, step is many, the cost of manufacture of instrument is higher, operation is inconvenient, error is big, actual application value is not high.
Summary of the invention
The purpose of this utility model provides a kind of simple to operate, any angle trisection drawing board that accuracy rate is higher.
The utility model is provided with transparency carrier, transparency carrier is provided with pattern and indicates, pattern indicates the circle that is provided with transparency carrier center line and 2 same radius, 2 circles intersect 2 intersection points of formation, the distance of center circle of 2 circles is greater than radius of a circle, 2 intersection points are positioned on the transparency carrier center line, be datum line with the transparency carrier center line, each circle is equipped with 1 line of cutting sth. askew, article 2, the line symmetric arrangement of cutting sth. askew, the line of cutting sth. askew of each circle is by the center of circle of other 1 circle and the following summit of transparency carrier center line, and the intersection point of 2 lines of cutting sth. askew is the following summit of transparency carrier center line, transparency carrier top is provided with 3 through holes, and wherein 1 through hole is located at described transparency carrier center line top; Other 2 through holes are located at the place, point of contact of described 2 lines of cutting sth. askew.
Described transparency carrier is preferably the rectangle transparent plastic substrate, and the transparency carrier center line is the longitudinal centre line of transparency carrier.
When the utility model uses, transparent drawing board is placed on treats on the sub-multiple angle, make the transparency carrier center line by treating the summit of sub-multiple angle, and make 2 circles respectively with two tangent getting final product in limit for the treatment of sub-multiple angle.Then with pen point last 2 marks (namely in set through hole, the point of contact of 2 lines of cutting sth. askew), more respectively with these 2 marks with treat that the angular vertex line of sub-multiple angle can become the trisection line for the treatment of sub-multiple angle.
Compared with the prior art, the utlity model has following outstanding advantage: 1) be skillfully constructed, " a pair of ", " a bit ", " one connects ", just finish the geometry difficult problem of the trisection of an angle with simple steps, anyone sees that simple explanation can use, and the degree of accuracy is very high, reaches actual application level.2) durable in use, there is not any frame for movement, can not reduce accuracy because of wearing out, and cost of manufacture is low, use suits large area to popularize.This shows that the utility model not only has simple in structure, easy to operate, and the high outstanding advantage of accuracy rate.Has fine application value.
Description of drawings
Fig. 1 is the structural representation of the utility model embodiment.
Fig. 2 is the use principle schematic diagram of the utility model embodiment.
The specific embodiment
Referring to Fig. 1, the utility model embodiment is provided with transparency carrier 1, and transparency carrier 1 is provided with pattern and indicates, and pattern indicates the circle 12 and 13 that is provided with transparency carrier center line 11 and 2 same radius.2 circles 12 and 13 intersect and form 2 intersection points, and 2 intersection points are positioned on the transparency carrier center line 11, and 2 circles 12 and 13 the center of circle (being A and A') are apart from greater than radius of a circle.Be datum line with transparency carrier center line 11, be respectively equipped with 1 cut sth. askew line 14 and 15 tangent with intersecting circle in 2 circles 12 and 13, article 2, cut sth. askew line 14 and 15 symmetric arrangement, article 2, the cut sth. askew equal following summit 111 by transparency carrier center line 11 of intersection point of line 14 and 15, the line 14 of cutting sth. askew is on the same straight line with the center of circle A of place circle 12 and the following summit 111 of transparency carrier center line 11, the line 15 of cutting sth. askew also is on the same straight line with the center of circle A' of place circle 13 and the following summit 111 of transparency carrier center line 11, and the intersection point of 2 cut sth. askew line 14 and 15 is by the following summit 111 of transparency carrier center line 11.Described 2 lines 14 and 15 of cutting sth. askew are for treating the trisection line of subangle during use.
Described transparency carrier 1 is the rectangle transparent plastic substrate, and transparency carrier center line 11 is the longitudinal centre line of transparency carrier 1.
Described transparency carrier top is provided with 3 through holes 16,17 and 18, and wherein 1 through hole 18 is located at transparency carrier center line 11 tops of described transparency carrier 1; Other 2 through holes 16 and 17 are located at the place, point of contacts of 2 cut sth. askew line 14 and 15 respectively.
Referring to Fig. 2, treat that sub-multiple angle is ∠ COD; The step of ∠ COD trisection is as follows:
1) transparency carrier is pressed in above the ∠ COD, makes transparency carrier center line 11 by the summit O of ∠ COD, mobile transparency carrier 1 makes the outer arc of 2 circles 12 and 13 tangent with OC limit and the OD limit of ∠ COD respectively then.
2) insert in 3 through holes 16,17 and 18 with nib, point out 3 gauge point B, B ＇ and O ＇.
3) take away transparency carrier, the summit O of ∠ COD and gauge point B are coupled together and prolong with ruler; The summit O of ∠ COD and gauge point B ＇ are coupled together and prolong; Then ray OB and OB ＇ are the trisection line of ∠ COD.
4) ray that summit O and the gauge point O ＇ of ∠ COD coupled together then is the bisector of ∠ COD.
In Fig. 2, mark A and A' represent the center of circle of circle 12 and 13 respectively; In addition, the needs for the principle explanation save other outline lines in the transparency carrier.
Claims (2)
1. any angle trisection drawing board, it is characterized in that being provided with transparency carrier, transparency carrier is provided with pattern and indicates, pattern indicates the circle that is provided with transparency carrier center line and 2 same radius, 2 circles intersect 2 intersection points of formation, the distance of center circle of 2 circles is greater than radius of a circle, 2 intersection points are positioned on the transparency carrier center line, be datum line with the transparency carrier center line, each circle is equipped with 1 line of cutting sth. askew, article 2, the line symmetric arrangement of cutting sth. askew, the line of cutting sth. askew of each circle is by the center of circle of other 1 circle and the following summit of transparency carrier center line, article 2, the intersection point of line of cutting sth. askew is logical to be the following summit of transparency carrier center line, and transparency carrier top is provided with 3 through holes, and wherein 1 through hole is located at described transparency carrier center line top; Other 2 through holes are located at the place, point of contact of described 2 lines of cutting sth. askew.
2. any angle as claimed in claim 1 trisection drawing board is characterized in that described transparency carrier is the rectangle transparent plastic substrate, and described transparency carrier center line is the longitudinal centre line of transparency carrier.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201320085342 CN203126261U (en) | 2013-02-25 | 2013-02-25 | Arbitrary angle trisection drawing board |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201320085342 CN203126261U (en) | 2013-02-25 | 2013-02-25 | Arbitrary angle trisection drawing board |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN203126261U true CN203126261U (en) | 2013-08-14 |
Family
ID=48934277
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 201320085342 Expired - Fee Related CN203126261U (en) | 2013-02-25 | 2013-02-25 | Arbitrary angle trisection drawing board |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN203126261U (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| ITNA20130050A1 (en) * | 2013-10-22 | 2014-01-22 | Antonio Gatti | SHAPE FOR THE GRAPHIC SHAPE OF ANGLE |
| CN104677319A (en) * | 2013-12-02 | 2015-06-03 | 江西昌河航空工业有限公司 | Method for measuring center line |
-
2013
- 2013-02-25 CN CN 201320085342 patent/CN203126261U/en not_active Expired - Fee Related
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| ITNA20130050A1 (en) * | 2013-10-22 | 2014-01-22 | Antonio Gatti | SHAPE FOR THE GRAPHIC SHAPE OF ANGLE |
| CN104677319A (en) * | 2013-12-02 | 2015-06-03 | 江西昌河航空工业有限公司 | Method for measuring center line |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20130814 Termination date: 20150225 |
|
| EXPY | Termination of patent right or utility model |