| Euclides - 1853 - 146 pages
...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 is...and the three interior angles of every triangle are** equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D; the... | |
| Euclides - Geometry - 1853 - 334 pages
...angle shall 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)... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 angle is...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... | |
| Insurance - 1853 - 394 pages
...triangle be produced (1) the exterior angle is equal to the two interior and remote angles, and (2) **the three interior angles of every triangle are together equal to two right angles.** 28. Show that in any right-angled triangle, the square which is described upon the hypothenuse, that... | |
| 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 is...every triangle are together equal to two right angles.** 4. Equal triangles upon the same hase and upon the same side of it are between the same parallels .... | |
| 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...every triangle are together equal to two right angles.** 4. Equal triangles upon the same base and upon the same side of it, are between the same parallels.... | |
| Euclides - 1855 - 262 pages
...exterior angle is equal to the ttco interior and opposite angles ; and the three interior angles oj **every triangle are together equal to two right angles....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 - 336 pages
...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... | |
| W. F. RICHARDS - Education, Primary - 1856 - 198 pages
...to equal sides, show that these two triangles are not necessarily equal to one another. 4. If a side **of any triangle be produced, the exterior angle is...every triangle are together equal to two right angles.** 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...equal, each to each : and also the third angle of the one to the third angle of the other. 6. If a side **of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are** equal to two right angles. 7. If a parallelogram and a triangle be upon the same base, and between... | |
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