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 76
f a circle are equal t»one another. Let ABCD be a circle, and BAD, BED angles in the same segmentBARD: The angles BAD, BED are equalto one another. Take F the centre of the circle ABCD:And, first, let the segment BAED be great-er than a semicircle, and join BF, FD:And because the angle BED is at… … r& ELEMENTS son, the angle BED is double of the angle BED;gle BAD is equal to the angle BED. But, if the segment BAED be not greaterthan a semicircle, let BAD, BED be an-gles in it; these also are equj^l to one ano-ther. Draw AF to the centre, and produceto C, and join CE : Therefore the…
Euclid's Elements · Geometry · Trigonometry
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