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 77
ngle 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 seg-ment BADC is greater than a semicircle;and the angles in it BAC, BEC are equal,by the… … ment, &e. Q. E. D. angles in the same seg- PROP. XXII. THEOR. The opposite angles of any quadrilateral figure describedin a circle, are together equal to two right angles. LetABCDbe a quadrilateral figure in the circle ABCD; any twoof its opposite angles are together equal to two right angles.…
Euclid's Elements · Geometry · Trigonometry
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