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 63
two sides Ai),DG are eqnaltothetwo BD, DG, eacTi to each ; and the hase ( GA is cfpial to the base Gi3, because theyare radii of the sanie circle; therefore theangle ADG is equal (8. 1.) to the angleGDB : But when a straight line standing up-on another straight line makes the adjacentangles equal… … gF GEOMETRY. BOOK III. 63 to the less, which is impossible; Therefore G is not the centre of tl#circle ABC: In the spme manner, it can be shown, that no otherpoint but F is the centre: that is, F is the centre of the circle ABC :Which was to be found. Cor. From this it is manifest that if in a…
Euclid's Elements · Geometry · Trigonometry
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