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Plane and solid geometry (1908)

Gore, James Howard, 1856-1939 · New York, Longmans, Green, and co. · leaf 156

An illustration from Plane and solid geometry, 1908, leaf 156
ntagon; and so on. Q.E.D. § 310.] REGULAR POLYGONS AND CIRCLES. 143 318. COR. Since a circle may be regarded as a regular poly-gon of an infinite number of sides, it follows that the circle is themaximum of all isoperimetric plane figures. EXERCISES. 1. Of all triangles of given base and area,the… … PROPOSITION XVII. THEOREM. 319. The sum of the distances from two fixed points on thesame side of a straight line to the same point in that line is aminimum when the lines joining the fixed points with the samepoint are equally inclined to the given line. C F.

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