 | Mathematics - 1835 - 684 pages
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...extremity. 2. Draw a straight line at right angles to a given straight line, from a given point in the same. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. Any two sides of a triangle are together... | |
 | 1857 - 400 pages
...Equal triangles upon the same base and upon the same side of it, are between the same parallels. Quest. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Quest. 4. The greater angle of every triangle... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...base equal to one another, and also those terminated in the other extremity — (first case only). 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. Any two bides of a triangle are greater... | |
 | Euclides - 1862 - 140 pages
...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... | |
 | 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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... | |
 | 1868 - 344 pages
...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... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...are opposite to the equal angles, are equal to one another. 2. To bisect a given rectilineal angle. 3. If one side of a triangle be produced the exterior angle is greater than either of the interior opposite angles. 4. The opposite sides and angles of a parallelogram... | |
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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. 
