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 242
230 EUCLIDS ELEMENTS. / Proposition L Theorem. Triangles and parallelograms of the same altitude are to oneanother as their bases. Let the tria-ngles ABC, ACD, and the parallelograms EC,CF have the same altitude, namely, the perpendicular drawnfrom A to BD: as the base BO is to the base CD, so… … H G B C D J K Construction. Produce BD both ways;take any number of straight lines BG, GH, each equal to BC,and any number DJ, JK, KL, each equal to CD, [I. 3. and join AG, AH, A J, AK, AL. Proof. (1) Because CB, BG, GH are all equal, [Construction,the triangles ABC, AGB, AHG are all equal; [L 38.…
Euclid's Elements · Geometry · Mathematics, Greek
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
