| John Playfair - Mathematics - 1806 - 320 pages
...-the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. Q. E, D. PROP. XVII. THEOR. **ANY two angles of a triangle are together less than two right angles. Let ABC be any triangle** j any two of its angles together are less than two right angles. Produce BC to D; and because ACD is... | |
| Robert Simson - Trigonometry - 1806 - 548 pages
...d, 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.** A Let ABC be any triangle ; any two of its angles together are less than two right angles. Produce... | |
| Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...angle BCF (Def. 10.), and hence BCF must be greater than either the angle CBA-orCAB, PROP. XI. THEOR. **Any two angles of a triangle are together less than two right angles.** The two angles BAC and BCA of the triangle ABC are together less than two right angles. For produce... | |
| Euclid - Geometry - 1810 - 554 pages
...d, the angle ACD, is greater than the angle ABC. ThereTore, if one side, &c. QED PROP. XVII. THEOR. **ANY two angles of a triangle are together less than two right angles. Let ABC be any triangle;** any A . two of its angles together are less than two right angles. . Produce BC to D; and because ACD... | |
| Euclides - 1816 - 592 pages
...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... | |
| Sir John Leslie - Geometry - 1817 - 456 pages
...triangle are greater than the interior, and likewise greater than three right angles. PROP. IX. THEOR. **Any two angles of a triangle are together less than two right angles.** The two angles BAC and BCA of the triangle ABC are, together less than two right angles. For produce... | |
| John Playfair - 1819 - 354 pages
...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... | |
| 1854 - 1112 pages
...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 - Mathematics - 1825 - 1058 pages
...1.) the angle 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 two right angles. Let ABC be any triangle** ; any two of its angles together are less than two right angles. Produce BC to D ; and because ACD... | |
| George Lees - 1826 - 276 pages
...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... | |
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