Angle equally-dividing ruler

By designing an angle equalization scale on the plane, using the combination of arcs and involutes, the problem that the prior art cannot achieve arbitrary equalization of unknown angles on the plane is solved, and the precise segmentation of any angle is achieved.

CN119189534APending Publication Date: 2024-12-27XIHUANGYUAN CULTURE (GUANGZHOU) CO LTD
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Patent Information

Application Number
CN202411299503.3
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2024-09-18
Publication Date
2024-12-27

AI Technical Summary

Technical Problem

The prior art cannot realize any aligned altitude of unknown angles of the plane, especially the three equal parts or other non-integer power numbers.

Method used

An angle equalization scale was designed to achieve arbitrary equalization of angles by combining arcs and involutes of the holes in the plane by scribed holes on the plane, and specifically arcs with the known center of the circle and arcs. Involutes are used as functional edges and angle equalization is achieved based on geometric relationships.

Benefits of technology

Arbitrary equalization of unknown angles of the plane is realized, which exceeds the limit of integer powers of traditional technology, and can accurately segment any angle.

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Abstract

The invention relates to an angle equally-dividing ruler. One of three famous geometric ruler and compass drawing problems in ancient Greek, the trisection angle problem puzzles people all the time. According to the invention, trisection angles can be realized, and any angle can be equally divided in any proportion theoretically. According to the implementation structure, a scribing hole is formed in the center of a ruler plate, two side curves of the scribing hole are a pair of base arcs and involutes of the base arcs, and angle equal division is achieved according to the geometrical relationship between the arcs and the involutes of the base arcs.
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Description

Technical Field

[0001] The implementation of the invention relates to the problem of equally dividing unknown angles of a plane in people's work, life and study, and is a simple and accurate angle divider. Background Art

[0002] At present, in the practice of dividing unknown angles in a plane, existing technologies and theories can realize the operation of dividing an angle into integer powers of 2, such as 2, 4, 8, 16, etc. The problem of dividing an angle into three equal parts in the famous ancient Greek geometric ruler and compass construction has also been proved impossible by mathematical scholars. Summary of the invention

[0003] The invention provides an angle dividing ruler to realize arbitrary equal division of unknown angles of a plane. The ruler is composed of a ruled hole, and the ruled hole has two functional sides, namely a base circle arc with a known center and an involute of the base circle arc with a known expansion starting point. BRIEF DESCRIPTION OF THE DRAWINGS

[0004] The present application will be more fully understood from the following detailed description in conjunction with the accompanying drawings.

[0005] Figure 1 is a top view of an angular ruler of an exemplary embodiment.

[0006] Figure 2 is an explanatory diagram of an angle ruler of an exemplary embodiment.

[0007] In the figure, 1 is a ruled hole, 2 is an arc involute, and 3 is an arc. DETAILED DESCRIPTION

[0008] In this embodiment, the material used is transparent material. Figure 2 It is an explanatory diagram of this embodiment.

[0009] In this embodiment, the scribed hole GCE is a through hole.

[0010] In this embodiment, the GC side of the scribed hole is an arc with the marking point O as the center.

[0011] In this embodiment, the GE side of the scribed hole is the circular involute of the arc GC, and the point G is the starting point of the expansion of the involute.

[0012] In this embodiment, OG is the radius of the arc GC.

[0013] In this embodiment, CE is the third edge of the scribed hole.

[0014] This embodiment realizes angle equalization based on the geometric relationship between the arc and its involute.

[0015] It should be understood that Figure 1, Attachment Figure 2 Exemplary embodiments are shown in detail, and it should be understood that the present application is not limited to the details or methods set forth in the specification or shown in the drawings. It should also be understood that the terminology is for descriptive purposes only and should not be considered as limiting.

[0016] Further modifications and alternative embodiments of various aspects of the present invention will be apparent to those skilled in the art in view of this description, and therefore, this description should be interpreted as illustrative only, and the constructions and arrangements shown in the exemplary embodiments are illustrative only.

Claims

1. Angle divider can divide the angle equally according to the geometric relationship between the arc and its involute.

2. The main body of the angle divider includes a marking hole, which is a through hole.

3. The two sides of the marked hole are the arc and the involute of the arc. The center of the arc and the starting point of the involute are clearly marked on the angle divider.