A method of using a tool for equally dividing a circle
A technology of circles and tools, applied in writing utensils, printing, etc., can solve the problems of n equal divisions of known arcs, which cannot be theoretically realized n equal divisions, etc.
Inactive Publication Date: 2018-03-16
郭保德
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Problems solved by technology
For these problems, in the existing drawing tools (including software tools), any single tool or combination of tools cannot theoretically realize arbitrary n equal divisions, only part of them can be realized, for example, when n=2n, 3, 4, 5 and a few can be realized
[0003] For n (natural number) equal division of the circumference, there is no theoretical or practical operation that can divide a known circle n (natural number) equally; similarly, there is no theory or actual operation that can divide a known circle Arc n (natural number) is equally divided; similarly, there is no theory or practical operation that can divide a known angle n (natural number) equally
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[0018] The present invention will be further described below in conjunction with accompanying drawing:
[0019] Principle analysis of the present invention:
[0020] Since the circumference of a known circle is equal to 2πr (where r is the radius of the known circle); the n equal divisions of the known circle, that is, the n equal divisions of the known circle's circumference (2πr), That is to say, each arc divided by n is equal to 2πr / n; we regard 2πr / n as the product of 2π and r / n, and according to the circumference of a circle equal to 2πr, then: the circumference of a known circle (2πr) is A circle composed of n circles whose radius is r / n, that is, n×{2π(r / n)}=2πr. It can be understood as: n circles with a radius of r / n roll along the perimeter of a known circle, and the trajectory formed on the known circle can also be understood as: a circle with a radius of r / n is the trajectory formed by rolling n circles of a circle with a radius along the perimeter of a known circ...
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The invention provides a tool for equally dividing a circle and its use method, which is deformed and improved on the basis of the existing common drawing tool, and the circle with a radius of r / n is placed on the circumference of a circle with a known radius of r Roll n circles, and mark a point every time you roll a circle, so that the equal division point of the known circle is found, and any n (natural number) equal division of the known circle is realized. The invention solves the problem of dividing the known circle by any n Divide the known arc and the known angle into n equal parts, make a regular n-gon in a known circle, and make a regular n-gon in a known circle. Circumscribed regular n-gon, drawing the position of π on the number axis, drawing a circle with a known perimeter, etc., the present invention also changes the mode of angle measurement, and can draw theoretical 1 / n degrees, n It can be any natural number, which cannot be realized with a protractor.
Description
technical field [0001] The invention belongs to the technical field of drawing, and relates to a drawing tool for performing arbitrary n (natural number) equal divisions on a known circle and a method for using the same, in particular to a tool for equally dividing a circle and a method for using the same. Background technique [0002] At present, in the fields of scientific research, teaching, surveying and mapping, mechanical engineering, etc., it often involves n equal divisions of a known circle, or n equal divisions of a known angle or arc, and doing it in a known circle. Inscribed regular n-gon, or circumscribed n-gon, etc. For these problems, in the existing drawing tools (including software tools), any single tool or combination of tools cannot theoretically realize arbitrary n equal divisions, only part of them can be realized, for example, when n=2n, 3, 4, 5, etc. a few can be achieved. [0003] For the n (natural number) equal division of the circumference, ther...
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IPC IPC(8): B43L13/00
Inventor 郭保德郭健
Owner 郭保德