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 222
aiieto those sides to the tangent of half their difference. Q. E. D. PROP. V. THEOR. If a perpendicular be drawn from any angle of a triangleto the opposite side, or base ; the sum of the segments ofthe base is to the sum of the other two sides of the triangleas the difterence of those sides to the… … eiice of the sides, and therefore (16. 6.) the sum of the segments ofthe base is to the sum of the sides as the ditferenee of the sides to theditFerenee of the segments of the base. Q. E. D. PROP. VI. THEOR. In any trianglcj twice the rectangle contained by &nftwo sides is to the difference…
Euclid's Elements · Geometry · Trigonometry
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