| Euclides - 1864 - 448 pages
...every triangle is subtended by the greater side, or, has the greater side opposite to it. Let AB C be a triangle of which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than-the side AB. For, if AC be not greater than AB, AC must either... | |
| Robert Potts - 1865 - 528 pages
...greater angle of every triangle is subtended by (he 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. Then the aide AC shall be greater than the side AB. For, if AC be not greater than AB, AC must either... | |
| Euclides - 1865 - 402 pages
...greater than the side which is opposite to the less. (References— Prop. I. 5, 18.) Let ABC be any triangle, of 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... | |
| John Playfair - Geometry - 1855 - 350 pages
...greater angle of every triangle is subtended by the greater side, or ha* the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than th« angle BCA ; the side AC is likewise greater than the side AB. For, if it be not greater, AC must... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 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 ACB : the side AC is also greater than the side AB. For if not, AC must be either equal to AB or less... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...greater angle of every triangle is subtended by the greater side, or Itat the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle ACB : the side AC is also greater than the side All. For if not, AC must be either equal to AB or less... | |
| Robert Potts - 1868 - 434 pages
...greater angle of every triangle is subtended by the greater tide, or, has the greater side opposite to it. Let ABC be a triangle of which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AB. For, if AC be not greater than AB, AC must either... | |
| Henry Major - Student teachers - 1873 - 588 pages
...greater angle of every triangle is subtended bit fhe 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 A either be equal... | |
| Edward Atkins - 1874 - 426 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 shall be greater than the side AB. PROOF.— If AC be not greater than AB, it must either be... | |
| Euclides - 1874 - 342 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. Then the side AC shall be greater than the side AB. A. For, if AC be not greater than AB, AC must either... | |
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