Galileo’s polygon theorem
( go to the article → https://www.johndcook.com/blog/2020/12/28/galileospolygontheorem/ )
William J. Milne [1] attributes the following theorem to Galileo: The area of a circle is a mean proportional between the areas of any two similar polygons, one of which is circumscribed about the circle and the other is isoparametric with the circle. So imagine a polygon P and let S be an inscribed circle, that […]
The post Galileo’s polygon theorem first appeared on John D. Cook.
Dec. 28, 2020, 7 p.m.
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