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 101
BOOK II. I. 89 Proposition 1. Theorem. If there he ttvo straight liiieSy one of which is divided into anynumber of parts, the rectangle contained by the two straight lines isequal to the rectangles contained by the undivided line, and theseveral parts of the divided line. Let A and BC be two… … Construction. From B draw BF at right angles to BC, [1.11.. and make BG equal to A ; [I. 3. through G draw GH parallel to BC; and through D, E, C draw DK, EL, CH, parallel to BG. [I. 31. Proof. The rectangle BH = the sum of the rectangles BK,DL, EH.But BH is contained by A, BC, for it is contained…
Euclid's Elements · Geometry · Mathematics, Greek
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