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 86
lel to the diagonals ; prove that the figure thus obtained is aparallelogram whose area is twice that of the quadrilateral. 74 EUCLIDS P]LEMENTS. Proposition 42. Problem. To describe a parallelogram that shall he equal to a given triangle^and have one of its angles equal to a given rectilineal… … B E C Construction. Bisect BC at E; [I. 10. join AE, and at the point E, in the straight line EC, makethe angle CEF equal to D ; [I. 23. through A draw AFG parallel to EC, and through C drawCG parallel to EF. [L 31. Then FECG is the parallelogram constructed as required. Proof. The A ABE = the A…
Euclid's Elements · Geometry · Mathematics, Greek
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