 | Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...angles in a triangle is equal to two right angles. 16. If one of the sides of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. 17. The exterior angle is greater than any one of the interior opposite angles. 18. If two angles of... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...demonstrated by Euclid till Book XI. PROPOSITION XXXI. THEOREM. — If a side of any triangle be prolonged, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and let one of its sides, as BC, be produced to D. The... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 204 pages
...angles in any triangle, is equal to two right angles. 16. If one of the sides of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. 17. The exterior angle is greater than either of the interior opposite ones. 18. If two angles of a... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...angles (33), it will be necessary to modify somewhat this method. PROPOSITION XXV. THEOREM. When one side of a triangle is produced, the exterior angle is equal to both the interior and opposits angles taken together. Let the side AB of the triangle ABC be produced,... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...parallel to those of the angle BAC; but the two angles are not equal. PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles.... | |
 | University of Cambridge - 1849 - 560 pages
...triangle, the sides of which shall be each equal to twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...angles (40,) it will be necessary to modify somewhat this method. PROPOSITION xxv. THEOREM. When one side of a triangle is produced, the exterior angle is equal to both the interior and opposite angles taken together. For, conceive BF to be drawn parallel to AC ;... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...triangle, the sides of which shall be each equal to twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...sum of A and C, together with the same angle CBA, is also equal to two right angles (TV, CI) ; hence, the exterior angle is equal to the sum of the two interior and opposite angles. Cor. The exterior angle is greater than either of the interior and opposite angles.... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...sum of A and C, together with the same angle CBA, is also equal to two right angles (TV, CI) ; hence, the exterior angle is equal to the sum of the two interior and opposite angles. Cor. The exterior angle is greater than either of the interior and opposite angles.... | |
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If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles. 
