 | Euclides - 1864 - 448 pages
...the angle ACD, (i. 15.) is greater than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION XVII. THEOREM. Any two 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... | |
 | Euclides - 1864 - 262 pages
...the angle ACD, (l. 15.) is greater than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION XVII. THEOREM. Any two 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... | |
 | Robert Potts - 1865 - 528 pages
...the angle ACD, (i. 15.) is greater than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION XVII. THEOREM. Any two 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... | |
 | Euclides - 1865 - 80 pages
...that the angle BCG, that is (7) the angle ACD, is greater than the angle ABC. PROPOSITION XVH. THEOR. Any two angles of a triangle are together less than two right angles. Let ABC be any triangle, any two of its angles are together less than two right angles. Produce BC to D, and because... | |
 | Euclides - 1865 - 402 pages
...that is, the angle ACD, (L 15) is greater than the angle ABC. Therefore, if one side, &c. QED PROP. XVII. — THEOREM. Any two angles of a triangle are together less than two right angles, (References — Prop. I. 13, 16 ; ax. 4.) Let ABC be any triangle. Then any two of its angles shall... | |
 | William Harris Johnston - 1865 - 478 pages
...right angle ¡ it cannot have more than one, as it is proved in Euclid, Book I., Prop. 17, that « Any two angles of a triangle are together less than two right angles. An obtuse-angled triangle has one of its angles an obtuse angle. An acute-angled triangle has all its... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...or theorem; as for example, To describe an equilateral triangle on a given finite straight line, or Any two angles of a triangle are together less than two right angles. After the general enunciation follows the discussion of the proposition. First, ,the enunciation is... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...or theorem; as for example, To describe an equilateral triangle on a given finite straight line, or Any two angles of a triangle are together less than two right angles. After the general enunciation follows the discussion of the proposition. First, the enunciation is... | |
 | Robert Potts - 1868 - 434 pages
...the angle ACD, (I. 15.) is greater than the angle ABC. Therefore, if one side of a triangle, &e. QED PROPOSITION XVII. THEOREM. Any two 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. A Produce any... | |
 | Henry Raper - 1870 - 968 pages
...and bisecting AB, it would be proved that the angle ABG, or its equal CBD, is greater than A. 122. Any two angles of a triangle are together less than two right angles. Produce the side BC of the triangle ABC, to D. Then the exterior angle AC D of the triangle is greater... | |
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Any two angles of a triangle are together less than two right angles. 
