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 49
sition 21. Theorem. If from the ends of the side of a triangle there he dravm twostraight lines to a point within the triangle^ these shall he less thanthe other two sides of the triangle, hut shall contain a greater angle. Let ABC be a triangle, and from B and C, the ends of theside BC, let the… … B C Construction. Produce BD to meet AC at E. Proof. In the triangle ABE the two sides BA, AE aretogether greater than the side BE; [I. 20. to each of these add EC ;.-. BA, AC are greater than BE, EC. Again, the two sides DE, EC of the triangle DEC are greaterthan the third side DC; [I. 20. to each…
Euclid's Elements · Geometry · Mathematics, Greek
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