Angle accurate pantographs

Abstract

The invention discloses an accurate angle pantograph. Only a coordinate point (r, 0) is needed to be found on an X-axis; the point is taken as a circle center; the circle is drawn out by taking the distance between the point and the origin as the radius; and the angle between two intersection points of an angle scaling curve and the point (r, 0) is 360/r degrees. By changing the value of r, the angle can be scaled and manufactured at random. The pantograph can use compasses and a ruler for achieving accurate manufacture, measurement and arbitrary scaling of the angle. The accurate angle pantograph of the invention has the advantages of simplicity, rapidness and accuracy.

Description

Technical field [0001] The invention is suitable for the precise manufacture of angles from 0 to 360 degrees, and can realize arbitrary zooming of angles by using straightedges and compasses like any expansion and contraction of line segments. It has important practical value for engineering and industrial applications that require precise machining of angles. Background technique [0002] In practical applications, we often encounter problems that require precise scaling and production of angles. It has been proved in mathematics that the trisection of an angle cannot be done with a compass and a ruler, let alone any scaling of the angle. However, various angle trisection curves have appeared internationally to bypass or solve this problem (see http: / / www.jimloy.com / geometry / trisect.htm for details). But these bisection curves are either too restrictive, imprecise, or complicated to operate. The curve in the present invention overcomes these defects of the existing bisec...

AI Technical Summary

Problems solved by technology

But these bisection curves are either too res

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