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 73
ter than the angle AFD {32. 1.);but the greater angle of any trianuieis subtended by the greater side (19.1.), therefore DF is greater than DA;now DA is equal to DC, IhereloreDF is greater than DC, and the()ointF i» therefore without the circle.AniJ F is any point whatever in theline AE, therefore… … OF GEOMETRY. BOOK III. 73 from D draw OH at ri^ht angles to AG;and because the angle DHA. is a rightangle, and the angle DAH less than aright angle, the side DHf of the triangleDAH is less than the si«le DA (19. 1.).The point H, therefore, is within theciv le, and therefore the str ight lineAG cute…
Euclid's Elements · Geometry · Trigonometry
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