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The Sharpness of Circular Saws

Carroll, Jeremy J.


Keyword(s): geometry; angles; polygons

Abstract: We draw triangles around the outside of a convex polygon to make a figure resembling a circular saw. We show that the product of the sines of the convex angles of the saw is less than the product of the sines of the concave angles of the saw. We consider the set of inequalities in polar co-ordinates that describe the betweenness constraints of a straight line drawing.

5 Pages

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