Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)
Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 162
angle contained by DG and AL,half the perimeter of the polygon (l. 2.), or by DA and AL. But ALis greater than AH, therefore the rectangle DA.AL is greater thaathe rectangle DA.AH; the rectangle DA.AH is therefore less thanthe rectangle DA.AL, that is, than any polygon described about theeircle… … 163 SUPPLEMENT TO THE ELEMENTS And as the same is true of all the other triangles having their verti-ces in D, which make up the inscribed polygon, therefore the wholeof the iiiscribed polygon is less than ihe rectangle contained by liA,and AK half the perimeter of the polygon. Now, the…
Euclid's Elements · Geometry · Trigonometry
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