 | Stewart W. and co - 1884 - 272 pages
...greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than the side AB. For, if it be not greater, AC must either be equal to... | |
 | Euclides - 1884 - 182 pages
...unequal, the side which is opposite the greater angle is greater than the side which is opposite the less, Let ABC be a triangle, of which the angle ABC is greater than the angle ACB, Then the side AC shall be greater than the side AB. For, if AC be not greater than AB, AC must... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...PROPOSITION 19. When two angles of a triangle are unequal, the greater angle has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle ACB : it is required to prove that the side AC is greater than the side AB. PROOF. AC must be either... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...PROPOSITION 19. When two angles of a triaitjle are unequal, the greati r angle has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle ACB : it is required to prove that the side AC is greater than the side AB. PROOF. AC must be either... | |
 | Seymour Eaton - 1899 - 362 pages
...The greater angle of every triangle is subtended by the greater side or has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle ACB ; then the side AC is also greater than the side AB. A, BC Proof: For if not, AC is either equal... | |
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THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA : the side AC is likewise greater than the side AB. For, if it be... 
