| Henry Major - 1873
...is the angle ABC greater than ACB. XTX. — The greater angle of every triangle is subtended bit fhe **greater side, or has the greater side opposite to...than the side AB. For, if it be not greater, AC must** A either be equal to AB or less than it ; it is not equal, because then the angle ABC would be equal... | |
| Edward Atkins - 1874
...GEOMETRY. Z1VABC > ^ BCAAC not = AB AC not < Make ^ = AC^ |CD> .-.DB>BC. Proposition 19. — Theorem. The **greater angle of every triangle is subtended by the...angle ABC is greater than the angle BCA; The side AC** shall be greater than the side AB. PROOF.— If AC be not greater than AB, it must either be equal... | |
| Euclides - 1874
...is greater than the angle ACB. Therefore the greater side, &c. QED PROPOSITION 19.— Theorem. The **greater angle of every triangle is subtended by the...which the angle ABC is greater than the angle BCA.** Then the side AC shall be greater than the side AB. A. For, if AC be not greater than AB, AC must either... | |
| Euclides - 1874
...producing the lea side AB to E, making AE equal to AC, and joining CE. PROPOSITION 19. THEOREM. The **greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it.** i Let ABC be a triangle, of which the angle ABC ' • is greater than the angle ACB : the side AC is... | |
| Edward Atkins - 1874
...every triangle is subtended by t/n greater side, or lias the greater side opposite to it. / 'ABC >• **Let ABC be a triangle, of which the angle ABC is greater** <• BCA- than the angle BCA; The side AC shall be greater than the side AB. PROOF. — If AC be not... | |
| Edward Atkins - 1876 - 119 sider
...ABC greater than the angle ACB. Therefore, the greater side, £e. QED Proposition 19.— Theorem. The **greater angle of every triangle is subtended by the...greater side, or has the' greater side opposite to it.** ^"A"IC >• Let ABC be a triangle, of which the angle ABC is greater * UCA. fkun t]10 angie BCA; The... | |
| Robert Potts - 1876 - 403 sider
...every triangle it tuttended by the greater tide, of, has the greater side opposite to it. Let A. BC lie **a triangle of which the angle ABC is greater than the angle BCA.** Then the side AC shall be greater than the side AH. For, if A Che not greater than AB, AC must either... | |
| Edward Atkins - 1877
...side, &c. QE D, AC > AB. / BCD, Mid / ADB = I ABD and . i ABD >i BCD. Proposition 19. — Theorem. The **greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it.** ^'VAUC' -» Let ABC be a triangle, of which the angle ABC is greater - *CA' than the angle BCA; The... | |
| Moffatt and Paige - 1879
...the angle AC B. Therefore, the greater side of every triangle, etc. QED Proposition XIX. Theorem. The **greater angle of every triangle is subtended by the...triangle, of which the angle ABC is greater than the angle** BC A. Then the side AC shall be greater than the side A B. For, if AC be not greater than AB, AC must... | |
| Euclides - 1879
...more is L ABC greater than L ACB. Therefore, the greater side, &c. QED PROPOSITION XIX. THEOREM. The **greater angle of every triangle is subtended by the...has the greater side opposite to it. Let ABC be A** of which Z. ABC is greater than Then AC is greater than AB. Dem. For if AC be not greater than AB,... | |
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