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 140
to EF, GH,a third proportional O: and because AB : CD :: EF : GH, andCD : X : : GH : (ii. 5.) O, ex squali (32. 5.)AB : X : : EF : O. ButAB : X (2. Cor. 20. 6.) : : KAB : LCD: andEF : O : : (2. Cor. 20. 6.) MF : NH; thereforeKAB : LCD (2. Cor. 20. 6.) :: MF : NH. And if the figure KAB he to the… … ther of the figures MF, NH: then, because that as AB to CD, so isEF, to PR, and upon AB, CD are described the similar and similarly-situated rectilineals KAB, LCD, and upon EF, PR, in like manner,the similar rectilineals MF, SR; KAB is to LCD, as MF toSRjbutby the hypothesis, KAB is to LCD, as MF…
Euclid's Elements · Geometry · Trigonometry
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