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 136
reason the angle ABL isecjualto the angle CDK: therefore the five-sided figures AGHLB.CFtKDare equiangular; and because the figures AGHB, CFED are smilar,GH is to HB as FE to ED; and as HB to HL, so is ED to EK U. 6.);therefore, ex tvquali (23. 5.), GH is to HL, as FE to EK: for thesame reason, AB… … and have their sides about the equal an.^les proportionals, they aresiniilirto one another: and in the same manner a rectilineal figure ofsix, or more, sides may be described upon a given straight line !»imilarto one given, and so on. Which was to be done. PROP. XIX. THEOR. Similar triangles are to…
Euclid's Elements · Geometry · Trigonometry
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