 | 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 to the two interior and opposite angles, and the three interior angles of every triangle are equal to two right angles. Prop. 34. — Theorem.... | |
 | 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... | |
 | Euclides - 1865 - 80 pages
...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 - 402 pages
...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... | |
 | 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...number of straight lines meeting at one point are together equal to four right angles. PROPOSITION 16. THEOREM. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior opposite angles. Let ABC be a triangle, and let one side... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...of straight lines meeting at one point, are together equal to four right angles. I PROPOSITION 16. THEOREM. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior opposite angles. Let ABC be a triangle, and let one side... | |
 | Herbert Spencer - 1881 - 756 pages
...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 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... | |
 | Moffatt and Paige - 1881 - 176 pages
...operations, such as - , +, x .] 1. Find a point which is equidistant from the angles of a given triangle. 2. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 3. If two triangles have two angles of the one... | |
 | 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.... | |
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If a side of any triangle be produced, the exterior angle is equal to the, two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 
