| Euclides, James Hamblin Smith - 1879 - 376 pages
...Again, in Prop. xv. it is evident that L AED = L BEC, since each has the same supplementary / AEC. **PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the** erterior angle ii greater than either of the interior opposite angles. D Let the side BC of A ABC he... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...Prove in Prop. XV. that the angle CEB = the angle AED. 2. Prove each of the above Corollaries. PROP. **XVI. • THEOREM. If one side of a triangle be produced,...greater than either of the interior opposite angles. Let** ABC be a triangle, and let the side BG be produced toD. Then it is to i>e proved that The exterior... | |
| 1880 - 594 pages
...-words may be used, but no symbols of operations, such as -, +, X, are admissible.) — I. Euc. L 7. 2. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** Any two exterior angles of a triangle are together greater than two right angles. THIRD (OR FOURTH)... | |
| Pupil teachers - 1880 - 1486 pages
...are equal in all respects. Same proposition. Give corollaries. Propositions XVL-XXVI (inclusive). 18. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** Same proposition. Show that only one perpendicular can be drawn from a given point to a given straight... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 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** skull be greater than either of the interior opposite angles. Let ABC be a triangle, and let one side... | |
| T S. Taylor - 1880 - 152 pages
...to the two interior and opposite angles. (Compare this with Euc. I. 16, page 56, which proves that **the exterior angle is greater than either of the interior opposite angles.)** Particular Enunciation. Given. — The triangle ABC, having the side AC produced to D. Required —... | |
| 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...greater than either of the interior opposite angles.** 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and... | |
| Euclides - Euclid's Elements - 1881 - 236 pages
...angles be bisected, the bisecting lines are in one and the same straight line. PROP. XVI. THEOREM. If me **side of a triangle be produced, the exterior angle...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 A CD is greater than either... | |
| Education, Higher - 1884 - 538 pages
...greater angle of every triangle has the greater side opposite to it. 3. In any triangle, if one side **be produced, the exterior angle is greater than either of the interior opposite angles.** 4. In a right-angled triangle if the square on one of the sides containing the right angle be three... | |
| 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...greater than either of the interior opposite angles. Let** BC, a side of A ABC, be produced to D. The L ACD shall be greater than either Z. CAB or /_ ABC. Bisect... | |
| |