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 83
q.e.d. [For Exercises see page 72.] BOOK I. 40. 71 Proposition 40. Theorem. Equal triangles^ on equal bases, in the same straight line, and onthe same side of it, are between the same parallels. Let the equal triangles ABC, DEF be on equal bases BC,EF, in the same straight line BF, and on the same… … Proof. The A ABC = the ACEF, because they are onequal bases BC, EF, and between the same parallels. [I. 38. But the A ABC = the A DEF ; [Hypothesis, ,, also the A DEF = the A CEF, [Axiom 1, the greater to the less, which is impossible.,, AG is not parallel to BF. In the same manner it can be shewn…
Euclid's Elements · Geometry · Mathematics, Greek
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