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 114
internally, it will apply also to Prop. 10.] 102 EUCLIDS ELEMENTS. Proposition 10. Theorem. If a straight line be bisected, and produced to any point, thesquare on the whole line thus produced, and the square on the partof it produced, are together double of the square on half the linebisected and… … Construction. From C draw CE at right angles to AB, [L 11.and make it equal to AC or CB ; [I. 3. and join AE, EB;draw EF parallel to AB, and DF parallel to CE. [1.31. Proof. (1) Because EF meets the parallels EC, FD, theangles CEF, EFD are together equal to two right angles; [I. 29.. •. BEF, EFD…
Euclid's Elements · Geometry · Mathematics, Greek
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