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 142
offramsEG, HK are similar, both to thei^hule parallelogram ABCD, andto one another. 1 Because DC, GF are parallels, the angle ADC is equal (29. 1.) tothe angle AGF: for the same reason, herause EC, EF are parallel?,the angle ABC is equal to the angle AEF: and each of the anglesBCDjEFG i? equal to… … AEF, and the an^^le BAC common to thetwo triangles BAC,EAF, thejare equian-gular to one another; therefore (4. 6.) asAB to BC, so is AE to EF; and becausethe opposite sides of parallelograms areequal to one another (34 1.), AB is (7. 5.)to AD, as AE to AG; and DC to CB, asGF to FE; and also CD to…
Euclid's Elements · Geometry · Trigonometry
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
