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 244
; /. OP, OQ, OR together-AD.] 232 EUCLIDS ELEMENTS. / Proposition 2. Theorem. If a straight line he drawn parallel to one of the sides of atriangle, it shall cut the other sideSy m^ those sides produced, pro-portionally. Conversely, if the sides, or the sides produced, he cut proportion-ally, the… … Construction. Join BE, CD. Proof. The ABDE = the ACDE, because they are on the same base DE and between the same parallels DE, BC. [I. 37. Also ADE is another A, and equal magnitudes have the same ratio to the same magnitude; [V. 7. .-. the ABDE : the A ADE :: the ACDE : the A ADE. But the ABDE :…
Euclid's Elements · Geometry · Mathematics, Greek
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
