Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes (1881)
Smith, J. Hamblin (James Hamblin), 1829-1901, Kirkland, Thomas, 1835-1898 · Toronto : W.J. Gage · leaf 286
so is figure on AC to figure on BC.Hence as BD, DC together are to BC so are figures on BA,AC together to figure on BC V. 22. But BD, DC together are equal to BC, and.•. figures on BA, ylO together = figure on BC. V. 18. Q. E. D. Book VI.] PROPOSITION XXIII. 279 Note.—The Proposition which follows… … Let the rectil. figs. ABODE, FGHKL be equal and similar,and let DC and KH be homologous sides of the figures. Then must DC=KH. For, if not, let DC he greater than KH.Then .■ DC is to DE as KH is to KL, .-. DE is greater than KL. Y. 14. Hence HaKLH be applied to ^ DEC, so that KH falls onDC and KL…
Geometry · Geometry, Plane
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