| 1863
...prove that the side AB, is equal to twice the line joining C with the middle point of AB. 2. If a side **of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles.** 3. Triangles upon the same base, and between the same parallels, are equal to one another. If E and... | |
| Robert Potts - 1864
...straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. 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. Let A BC be a triangle, and let one of its sides B Cbe produced... | |
| Robert Potts - 1864
...line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle i* **equal to the two interior and opposite angles ; and the three interior angles of every triangle are** together equal to two right angles. Let^-BCbeatriangle,andletone of its sides 5 Cbe produced to Z).... | |
| J F H. De Rheims - 1865 - 169 sider
...interior angles upon the same side together equal to two right angles. Prop. 32. — Theorem. If one side **of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles.** Prop. 34. — Theorem. The opposite sides and angles of parallelograms are equal to one another, and... | |
| Alfred Challice Johnson - 1865 - 150 sider
...lines, it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he **produced, the exterior angle is equal to the two interior...and opposite angles; and the three interior angles** are equal to two right angles, or 180°. (Eue. L, 32.)* 7. The square upon the hypolheneuse of a right-angled... | |
| Herbert Spencer - 1881
...therefore also the angles CBA, BAG, ACB, are together equal to two right angles. " Therefore if a side **of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles.** QED" Thus in each step by which the special conclusion is reached, as well as in the step taken from... | |
| John Gibson - 1881
...each to each, and also the third angle of the one equal to the third angle of the other. 4. 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. 5. Describe a parallelogram that shall be equal to a given triangle... | |
| Herbert Spencer - 1881
...foregoing theorem is inconveniently long. We 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... | |
| Moffatt and Paige - 1881 - 1880 sider
...abbreviations for words may be used, but not symbols of operations, such as - , +, x .] 1. If a side **of any triangle be produced, the exterior angle is...opposite angles ; and the three interior angles of** ev«*y triangle are together equal to two right angles. The base angle of an isosceles triangle is... | |
| 1884
...the circle. 9. Inscribe an equilateral asd equiangular quindecagon in a given circle. 10. If a side **of any triangle be produced, the exterior angle is...opposite angles, and the three interior angles of** any triangle are together equal to two right angles. 11. The straight lines bisecting the angles at... | |
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