| Euclides - 1853 - 146 pages
...given point A, parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle...sides BC be produced to D; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; and the three interior angles of the triangles,... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...point A parallel to the given straight line BC. Which was to be done. PROPOSITION XXXII. THEOR. If a side of any triangle be. produced, the exterior...the two interior and opposite angles ; and the three inferior angles of every triangle are equal to two rigJit angles. Let ABC be a triangle, and let one... | |
| Euclides - Geometry - 1853 - 334 pages
...be equal to the two interior and opposite angles ; (2) the three interior angles shall be together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then (1) the exterior angle ACD shall be equal to the two interior and opposite angles ABC, BAC; (2)... | |
| Thomas Lund - Geometry - 1854 - 522 pages
...adjacent side and the side produced) is equal to the two interior opposite angles of the triangle; and the three interior angles of every triangle are equal to two right angles. Let the side AB of the triangle ABC be 'produced'toD;/CBD c shall be equal to the angles BAC, ACB taken... | |
| Bible - 1854 - 500 pages
...mind. ' § 65. To illustrate this doctrine by an example taken from the science of magnitude. That the three interior angles of every triangle are equal to two right angles, is a truth which, if the demonstration has been followed, cannot but be believed, when the subject... | |
| John Kitto - Bible - 1854 - 504 pages
...mind. ' § 65. To illustrate this doctrine by an example taken from the science of magnitude. That the three interior angles of every triangle are equal to two right angles, is a truth which, if the demonstration has been followed, cannot but be believed, when the subject... | |
| 1855 - 264 pages
...perpendicular to a given straight line of an unlimited length, from u given point without it. 3. If a side of any triangle be produced, the exterior angle...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... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...straight line of an unlimited length, from a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to the two interior...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... | |
| Euclides - 1855 - 262 pages
...the ttco interior and opposite angles ; and the three interior angles oj every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC. And the three... | |
| John Playfair - Geometry - 1855 - 334 pages
...EAF is drawn through the given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the tivo interior and opposite angles ; and the three interior angles of tvery triangle are equal to two... | |
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