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 84
cept AD is parallel to BF;.-. AD is parallel to BF. Wherefore, equal triangles, etc. [q.e.d. [For Exercises see page 73.] 72 EUCLIDS ELEMENTS. Proposition 41. Theorem. If a parallelogram and a triangle he on the same base andbetween the same parallels, the parallelogram shall he double of… … Proof. The A ABC = the A EBC, because they are on thesame base BC, and between the same parallels BC, AE. [I. 37.But the parallelogram ABCD is double of the A ABC, becausethe diagonal AC bisects the parallelogram. [I. 34. .*. the parallelogram ABCD is also double of the A EBC. Wherefore, if a…
Euclid's Elements · Geometry · Mathematics, Greek
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