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 85
the point B, in thestraight line BF make (33. 1.)the angle FBC equal to the angleD ; therefore, because the straightline EF touches (he circle ABC,and BC is drawn from the pointof contact B, the angle FBC isequal (33. 3.) to the angle in thealternate segment BAG: but theangle FBC is equal to the… … PROP. XXXV. THEOR. If two straight lines within a circle cut one another, therectangle contained by the segments of one of them is equalto the rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut oneanother in the point E: the rectangle…
Euclid's Elements · Geometry · Trigonometry
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