| Euclides - 1881
...same point, the least is that whose base is bisected in that point. PROP. XXXII. THEOREM. If a side **of any triangle be produced, the exterior angle is...interior and opposite angles ; and the three interior** anglet oj every triangle are together equal to two right angles. Let ABC be a triangle, and ).3t one... | |
| Mary W I. Shilleto
...figure for this proposition, if BG, CF meet in H, show that AH bisects the angle BAG. 2. If a side **of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles.** Enunciate and prove the corollaries to this proposition. Trisect a right angle. 3. If a straight line... | |
| Free Church of Scotland. College Committee - 1882 - 113 sider
...one side of it, are either two right angles, or are together equal to two right angles. 2. If a side **of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are** together equal to two right angles. 3. The complements of the parallelograms which are about the diameter... | |
| Herbert Spencer - 1882
...foregoing theorem is inconveniently long. Wo shall find a fitter one in Proposition xxxii. " If the side **of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are** together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced... | |
| 1882
...2. State the particular enunciation (only) of the twenty-seventh proposition of Book I. 3. If a side **of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are** together equal to two right angles. Algebra. ¿=4, f =6. 2. Multiply ЬУ J^ + pr + o. 3. Solve the... | |
| John Robertson (LL.D., of Upton Park sch.) - 1882
...equilateral and equiangular pentagon in a given circle. 4. Show how to trisect a right angle. 5. If a side **of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are** together equal to two right angles. 6. The angles in the same segment of a circle are equal to one... | |
| 1882
...of the base are equal. Prove this, if you so prefer, by the method of superposition. 2. Prove that **the three interior angles of every triangle are equal to two right angles;** and that all the interior angles of any rectilineal n'gure, together with four right angles, are equal... | |
| Marianne Nops - 1882
...two right angles. SUMMABY OF PROPOSITION XXXII., THEOREM 22.If a side of any triangle be produced (1) **the exterior angle is equal to the two interior and opposite angles,** (2) and the three interior angles of every triangle are together equal to two right angles. I. To show... | |
| 1882
...diagonals of a parallelogram are together equal to the squares of the four sides. 12. 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 together equal to two right angles.... | |
| Joseph Hughes - 1883
...greater than the angle contained by the sides equal to them of the other. Euclid, I., 24. 2. If a side **of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are** together equal to two right angles. Euclid, I., 2. 3. Equal triangles upon the same base and upon the... | |
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