| John Playfair - Trigonometry - 1806 - 311 pages
...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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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 - 493 pages
...BCF (Def. 10.), and hence BCF must be greater than either the angle CBA or CAB. 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 - 518 pages
...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;... | |
| Euclides - 1816 - 528 pages
...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... | |
| 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 - Mathematics - 1825 - 372 pages
...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... | |
| George Lees - 1826
...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 - Trigonometry - 1827 - 513 pages
...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 be** any triangle; any two of its angles together shall be less than two right angles. Produce BC toD; and... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...one equal to the three sides of the other, each to each, are equul in all respects . . 7 (•7) Any **two angles of a triangle are together less than two right angles** 7 (A} A triangle cannot have more than one right angle, or more than one obtuse angle . . nor. 7 (i)... | |
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