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 155
othe similar and similarly describedfigure upon BA: and, inversely (B.5.), as DB to BC, so is the figureupon BA to that upon BC; for thesame reason, as DC to CB, so isthe figure upon CA to that upon CB. Wherefore as BD and DC together to BC, so are the figures upon BA, AC to that upon BC(24. 5.):… … PROP. XXXII. THEOR. If two triangles which have two sides of the one pro-portional to two sides of the other, be joined at one an-gle, so as to have their homologous sides parallel to oneanother, the remaining sides shall be in a straight line.^ Let ABC, DCE be two triangles which have the two…
Mathematics, Greek · Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
