| Euclides - 1814
...right angles. two of its angles together are less than two right angles. Let ABC be any triangle; any **Produce BC to D; and because ACD is the exterior angle of the triangle ABC, ACD is** fie i,greater 3 than the interior and., opposite angle ABC; to each of J these add the angle ACB ;... | |
| Euclides - 1816 - 528 sider
...that is*, the angle ACD, is greater than the angle ABC. Therefore, if one side,&c. QED PROP. XVII. **THEOR. ANY two angles of a triangle are together less than two right angles. Let ABC** beany triangle;any two of its angles together are less than two right angles. Produce BC to D ; and... | |
| John Playfair - 1819 - 333 sider
...&c. Q, ED PROP. XVII. THEOR. Jlny too angles of a triangle are together less than two right angle's. **Let ABC be any triangle ; any two of its angles together are less than two right angles. Produce** BC'to D ; and because ACD is the exterior angle of the triangle ABC, ACD is greater (16. 1.) than the... | |
| John Playfair - 1819 - 317 sider
...(15. 1.), the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. Q, ED PROP. XVII. **THEOR. - Any two angles of a triangle are together less than' two right** angle*. Let A BC be any triangle ; any two of its angles together are less than two right angles. Produce... | |
| Euclid, Robert Simson - 1821 - 516 sider
...(15. 1.) the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. Q,. ED PROP. XVII. **THEOR. ANY two angles of a triangle are together less...exterior angle of the triangle ABC, ACD is greater** (16. 1.) than the interior and opposite angle ABC; to each of these add the angle ACB;r. therefore... | |
| 1854
...proved hereafter, it is here inserted in order to facilitate the theory of parallel lines. Cor. 2. **Any two angles of a triangle are together less than two right angles.** For either is less than the supplement of the other. Cor. 3. If any angle of a triangle is right or... | |
| Peter Nicholson - 1825 - 372 sider
...ACD, is greater than the angle ABC. Therefore, if one side, &c. Q. Ë. D. Proposiiio» XVII. Theorem. **Any two angles of a triangle are together less than...exterior angle of the triangle ABC, ACD is greater** (16. 1.) than the interior and opposite angle ABC ; to each of these add the angle в с » ACB ; therefore... | |
| Euclid, John Playfair - 1826 - 320 sider
...if one Bide, <SeQED 4 PROP. XVII. t HEOR. Any two angles of a triangle are together less than twfl **right angles. Let ABC be any triangle; any two of...its angles together are less than two right angles.** Produee BC to D ; and beeause ACD is the exterior angle of the triangle ABC, ACD, is greater (16. 1.)... | |
| George Lees - 1826
...that the angle BCG, that is, ACD% is e 5. 1. greater than ABC. Therefore, if one side, &c. QED Cor. **Any two angles of a triangle, are together less than two right angles.** For, since by the proposition, the exterior angle ACD is greater than the interior and opposite angle... | |
| Robert Simson - 1827 - 513 sider
...that is, the angle * ACD, is greater than the angle ABC. Therefore, if one side, &C. QED PROP. XVII. **THEOR. Any two angles of a triangle are together less...ABC be any triangle; any two of its angles together** shall be less than two right angles. Produce BC toD; and because ACD is the exterior angle of the triangle... | |
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