| London univ - 1846 - 326 pages
...impossible ? 5. If a side of any triangle be produced, show that the exterior angle will be equal to **the two interior and opposite angles ; and the three interior angles of every triangle** will be equal to two right angles. Also show that all the exterior angles of any rectilineal figure... | |
| George Roberts Perkins - Geometry - 1847 - 308 pages
...re-entering 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,... | |
| 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...and the three interior angles of every triangle are** together equal to two right angles. Can you give Legendre's method of demonstrating this proposition,... | |
| Education - 1850
...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 to two right angles. 3. If the square described upon one of the sides of a triangle... | |
| George Roberts Perkins - Geometry - 1850 - 332 pages
...re-entering 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...and the three interior angles of every triangle are** together equal to two right angles. Can you give Legendre's method of demonstrating this proposition,... | |
| Euclides - 1852
...ELEMENTS PROP. XXXII. THEOR. If a side of any 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** riffht angles. Let ABC be a triangle, and let one of its sides BC be produced to D; (1.) the exterior... | |
| Great Britain. Committee on Education - School buildings - 1855
...a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to **the two interior and opposite angles; and the three interior angles of every triangle are** together equal to two right angles. 4. Equal triangles upon the same base and upon the same side of... | |
| 1855
...u given point without it. 3. If a side of any 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 to two right angles. 4. Equal triangles upon the same hase and upon the same side of... | |
| 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. OF THE SIDES OF... | |
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