| Robert Simson - Trigonometry - 1775 - 534 pages
...Therefore, if one fide, &c. Q;.ED PROP. XVII. THEO R. ANY two angles of a triangle are together lefs **than two right angles. Let ABC be any triangle ; any two of its angles together are** lefs than two right angles. Produce BC to D ; and becaufe ACD is the exterior angle of the triangle... | |
| Euclid - 1781 - 552 pages
...Therefore, if one fide, &c. Q^ ED A PROP. XVII. THEO R. NY two angles of a triangle arc together lefs **than two right angles. Let ABC be any triangle ; any two of its angles together are** lefs than two right angles. Produce BC to D ; and becaufe ACD is the exterior angle of the triangle... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...Q^ED b i5. i. A a i6. i. b i3. i. PROP. XVII. THEOR. NY two angles of a triangle are together lefs **than two right angles. Let ABC be any triangle ; any two of its angles together are** lefs than two right angles. Produce BC to D ; and becaufe ACD is the exterior angle of the triangle... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...therefore if one fide, &c. Q^ ED A PROP. XVII. THEOR. NY two angles of a triangle are together lefs **than two right angles. Let ABC be any triangle ; any two of its angles together are** lefs than two tight angles. Produce BC to D; and becaufe ACD is the exterior angle of the triangle... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...BCG, that if*b -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...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... | |
| Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...vertical angle 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... | |
| Euclides - 1816 - 588 pages
...that the angle BCG, 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 - Circle-squaring - 1819 - 350 pages
...&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 - 354 pages
...BCG, 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 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 - 1110 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... | |
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