| Euclides - 1838
...angle BCG, „16 , thatis,theangle*ACD,isgreaterthantheangleABC. Therefore, if one side, &c. u. ED **PROP. XVII. THEOR. Any two angles of a triangle are...ABC be any triangle ; any two of its angles together** shall be less than two right angles. Produce BC to D ; and because ACD is the exterior angle of the... | |
| Euclid - 1838 - 416 sider
...that is, (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...right angles. Let ABC be any triangle ; any two of** A its angles together are less than two right /\ angles. / Produce BC to D ; and because ACD is / the... | |
| Euclides - 1840
...of a triangle is produced, the external angle is greater than either of the internal remote angles. **PROP. XVII. THEOR. Any two angles of a triangle are together less than two right angles.** cu PROP. XVIII. THEOR. If two sides of a triangle are unequal, the angle subtended by the greater side... | |
| Euclides - 1841 - 351 sider
...BCG, that is,* * 15. ' 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...ABC be any triangle; any two of its angles together** shall be less than two right angles. Produce BC to D; and because ACD is the exterior angle of the... | |
| Euclides - 1842
...BCG, that is (15. 1.), 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...angles together are less than two right angles. Produce** B c to D ; and because A c D is the exterior angle of the triangle ABC, ACD is greater (16. 1.) than... | |
| John Playfair - 1842 - 317 sider
...be demonstrated that the angle BCG, that is (15. 1.), the angle ACD, is greater than the angle ABC. **PROP. XVII. THEOR. Any two angles of a triangle are together less than two right angles. Let** ABO be any triangle ; any two of its angles together are less than two right angles. Produce BC to... | |
| 1844
...their other angles shall be equal, each to each, viz. those to which the equal sides are opposite. 3. **Any two angles of a triangle are together less than two right angles.** 4. If a straight line falling upon two other straight lines make the alternate angles equal to one... | |
| Euclid, James Thomson - 1845 - 352 sider
...angle would be greater than the interior and remote right angle, which (I. def. 10) is impossible. **PROP. XVII. THEOR.* — Any two angles of a triangle...are together less than two right angles. Let ABC be** a triangle : any two of its angles are together less than two right angles. Produce BC to D. Then,... | |
| Euclides - 1845
...than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION XVII. THEOREM. Any tno **angles of a triangle are together less than two right angles. Let ABC be any triangle.** Then any two of its angles together shall be less than two right angles. Produce any side BC to D.... | |
| Scottish school-book assoc - 1845
...= the /.ACD, (Prop. 3), is •^ the /.ABC; .-. the /.ACD is ^ either of the /.sCAB or ABC. QED Cor. **Any two angles of a triangle are together less than two right angles.** PROPOSITION XI. — THEOREM. The greater side of every triangle has the greater angle opposite to it.... | |
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