| Alfred Challice Johnson - 1865 - 150 páginas
...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... | |
| John Robertson (LL.D., of Upton Park sch.) - 1865 - 144 páginas
...straight lines, (iv.) a rhombus. [C.] 28. What is (i.) a postulate? and what (ii.) an axiom f [C.] 29. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. [C.] 30. The three interior angles of every triangle... | |
| Euclides - 1865
...angles; therefore AE is equal EB, and the straight line AB is bisected in E. PROPOSITION XVI. THEOR. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
| Euclides - 1865
...made by any number of lines meeting in one point are together equal to four right angles. Prop. 16. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Prop. 1 7. Any two angles of a triangle are together... | |
| Euclid, Isaac Todhunter - 1867 - 400 páginas
...the given straight line BC. QEF PROPOSITION 32. THEOREM. If a side of any triangle &« produced, tlie **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. Let ABC be a triangle, and... | |
| Mary W I. Shilleto - 1882
...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 equal...the two interior and opposite angles ; and the three** interior angles of every triangle are equal to two right angles. Enunciate and prove the corollaries... | |
| Herbert Spencer - 1882
...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 equal...the two interior and opposite angles ; and the three** interior angles of every triangle are together equal to two right angles. " Let ABC be a triangle,... | |
| 1882
...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 equal...the two interior and opposite angles ; and the three** interior angles of every triangle are together equal to two right angles. Algebra. ¿=4, f =6. 2. Multiply... | |
| Isaac Sharpless - 1882 - 266 páginas
...the alternate angles EAD, ADC are equal, EF is parallel (I. 25) to BC. Proposition 30. Theorcm. — **If one side of a triangle be produced, the exterior angle is equal to the two** opposite interior angles; and the three interior angles of any triangle are equal to two right angles.... | |
| 1883
...between the angles which the line drawn across makes with the two parallel straight lines. 4. Prove that, **if one side of a triangle be produced, the exterior angle is equal to the** sum of the two interior and opposite angles, and that the three angles of every triangle are together... | |
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