| Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...true. Either the side * This proposition is often expressed thus : — " The greater £ of every A **is subtended by the greater side, or has the greater side opposite to it."** The meaning of this is precisely the same as what is given above. -f Let the beginner carefully distinguish... | |
| Henry Major - Student teachers - 1873 - 592 pages
...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 - 424 pages
...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 - 342 pages
...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 - 120 pages
...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 - 428 pages
...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 - 130 pages
...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 - Geometry, Plane - 1876 - 446 pages
...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 - 72 pages
...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 - 426 pages
...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... | |
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