| University of Oxford - Education, Higher - 1863 - 316 pages
...sides of the one shall be equal to the angle contained by the two sides equal to them of the other. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. Make a triangle having its sides equal to three... | |
| Euclides - 1864 - 448 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. 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 the side .BCbe... | |
| Robert Potts - 1865 - 528 pages
...straight line EAF parallel to the given straight line B CQEF PROPOSITION XXXII. THEOREM. lf 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. Let AB C be a triangle, and... | |
| J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...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 equal...the two interior and opposite angles, and the three interior angles of every triangle are equal to two right angles. Prop. 34. — Theorem. The opposite... | |
| Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...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.) - Examinations - 1865 - 106 pages
...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... | |
| Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 pages
...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 equal...the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 3. The complements of the... | |
| Isaac Sharpless - Geometry - 1882 - 286 pages
...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 - 248 pages
...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... | |
| Marianne Nops - 1882 - 278 pages
...straight lines meeting at one point are together equal to four right angles. PROPOSITION XVI., THEOREM 9. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let BC, a side of A ABC, be produced to D. The... | |
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