The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 330
s ACE, AEC are equal to FHL, FLH, each to each, andthe triangle AEC equiangular to the triangle FLH. Thereforeas EA to AC, so is LF to FH; and as CA to AB, so EIF to FG5and as BA to AD, so is GF to FK; wherefore, ex sequali^ as EAto AD, so is LF to FK. But, as was shown, the triangle ABC isto the… … If two rectilineal figures given in species be describedupon the same straight line, they shall have a givenratio to one another.^ Let any two rectilineal figures ABCDE, ABFG, which aregiven in species, be described upon the same straight line ABjthe ratio of them to one another is given. Join AC,…
Mathematics, Greek · Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
