The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 285
AC : CB. [VI. 17. Wherefore AB is cut in extreme and mean ratio at the point C. [q.e.f. Y1. Definition 4:. BOOK VI. 31 273 Proposition 31. Theorem. In any right-angled triangle^ any rectilineal figure described onthe side subtending the right angle is equal to the similar andsimilarly described… … Construction. Draw the perpendicular AD. [I. 12. Let K, L, M be the similar and similarly described figureson BO, CA, and AB. Proof. Because AD is drawn from the right angle A per-pendicular to BO, the ACBA IS similar to the I iABD; [VI. 8. .-. BC:BA::BA BD; [VI. Def. 2. .-. BC :BD :: K M; [VI. 20,…
Euclid's Elements · Geometry · Mathematics, Greek
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