| 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.... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 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 exterior... | |
| Francis Joseph Grund - Geometry, Plane - 1834 - 206 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... | |
| Charles Reiner - Geometry - 1837 - 254 pages
...produced, the exterior angle is greater than either of the interior and opposite angles. 7. If one **side of a triangle be produced, the exterior angle is equal to the** two interior and opposite angles. 8. If each of the sides of a triangle be produced, the three exterior... | |
| Euclides - 1846 - 292 pages
...is drawn through the given point A parallel to the given straight line BC. Qur PROP. XXXII. THEOR. **If any side of a triangle be produced, the exterior angle is equal to the** two interior and opposite angles ; and the three interior angles of every triangle are equal to two... | |
| London univ - 1846 - 326 pages
...HEAVISIDE. 2. Prove that any two sides of a triangle are together greater than a third side. 3. If a **side of a triangle be produced, the exterior angle is equal to the** two interior opposite angles, and the three interior angles of every triangle are equal to two right... | |
| University of Cambridge - 1849 - 560 pages
...an isosceles 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 angles.... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...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. produced... | |
| Education - 1850 - 484 pages
...together equal to two right angles: the two straight lines shall be parallel to one another. 2. If one **side of a triangle be produced, the exterior angle is equal to the** two interior and opposite angles; and the three interior angles of every triangle are together equal... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...an isosceles 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 angles.... | |
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