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 79
A FDC from the figure ABCF, and from thesame, or a similar, figure take the A EAB, and the remaindersare equal; [Axiom 3. that is, the parallelogram ABCD = the parallelogram EBCF.Wherefore, parallelograms on the same base, etc, [q.e.d. BOOK I. 36. 67 Proposition 36. Theorem. Parallelograms on equal… … B C F Construction. Join BE, CH. Proof. Because BC = FG, [Hypothesis. and FG = EH, [1.34. .. BC = EH, [Axiom!, and they are parallels ; [Hypothesis, .*. BE and CH, which join their extremities toward the same parts, are both equal and parallel. [I. 33. .-. EBCH is a parallelogram, [Definition, and…
Euclid's Elements · Geometry · Mathematics, Greek
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