 | Euclides - 1814 - 560 σελίδες
...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 - 588 σελίδες
...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 - 350 σελίδες
...&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 σελίδες
...(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 - 514 σελίδες
...(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 - 1112 σελίδες
...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 - 1046 σελίδες
...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 - 326 σελίδες
...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 - 276 σελίδες
...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 - 546 σελίδες
...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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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. 
