 | 1835 - 684 sider
...the same order, and towards the same parts, the two angles shall be equal. PROP. 19. (Eue. i. 32.) If one side of a triangle be produced, the exterior angle shall be equal to the two interior and opposite angles ; and the three angles of every triangle are together... | |
 | Euclides - 1862 - 140 sider
...meeting in one point, are together equal to four right angles. PROPOSITION 16.— THEOREM. If one tide of a triangle be produced, the exterior angle shall...greater than either of the interior opposite angles. (Deferences — Prop. I. 3, 4, 10, 15; ax. 9.) Hypothesis. — Let ABC be a triangle, and let its side... | |
 | 1862 - 418 sider
...endanger the health of children in the school-room, and how should they be avoided ? GEOMETRY. 1. Prove that if one side of a triangle be produced, the exterior angle will be equal to the sum of the opposite interior angles. 2. Prove that the square on the difference... | |
 | University of Oxford - 1863 - 316 sider
...line perpendicular to a given straight line of unlimited length, from a given point without it. 3. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 4. The parallelograms about the diameter of a square are themselves squares. 5. If a straight line... | |
 | Euclid, Isaac Todhunter - 1867 - 424 sider
...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...greater than either of the interior opposite angles. Let ABC be a triangle, and let one side BC be produced to D : the exterior angle A CD shall be greater... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...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...greater than either of the interior opposite angles. Let ABC be a triangle, and let one side BC be produced to D : the exterior angle ACD shall be greater... | |
 | 1868 - 344 sider
...that £ is the middle point of A B. 1. Bisect a given finite straight line. 2. If one of the sides of a triangle be produced, the exterior angle shall...greater than either of the interior opposite angles. Take for demonstration the case in which the exterior angle ii contained by the base, and aud one of... | |
 | Henry William Watson - 1871 - 320 sider
...bisectors of these angles will be either perpendicular or parallel to one another. PROPOSITION 23. If one side of a triangle be produced, the exterior angle shall be equal to the two interior non-adjacent angles, and the three angles of every triangle are together... | |
 | Edward Atkins - 1874 - 426 sider
...angles, provided that no one of the angles be included in any other angle. Proposition 16. — Theorem. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D. The exterior angle ACD shall be greater... | |
 | Braithwaite Arnett - 1874 - 130 sider
...invested in the 3 per cent, consols at 93§ so as to yield an income of £576 per annum ? M EUCLID. 1. If one side of a triangle be produced the exterior...greater than either of the interior opposite angles . 2. In any right-angled triangle, the square which is described on the side subtending the right angle... | |
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If one side of a triangle be produced, the exterior angle shall be greater than either of the interior opposite angles. 
