 | 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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THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. 
