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 48
s of Propositions 18 and 19 were :■ the greater side of any triangle has the greater angle opposite it; andthe greater angle of any triangle is subtended hy the greater side, that is,has the greater side opposite to it. 36 EUCLIDS ELEMENTS. Proposition 20. Theorem. Any two sides of a triangle are… … [L3. Construction. Produce BA to D, making AD equal to AC,and join DC. Proof. Because AD = AC, [Construction. the angle ADC = the angle ACD. [I. 5. But the angle BCD is greater than the angle ACD. [Ax. 8.Therefore the angle BCD is greater than the angle BDC.And because the angle BCD of the triangle…
Euclid's Elements · Geometry · Mathematics, Greek
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