 | Euclides, James Hamblin Smith - 1879 - 376 pagina’s
...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 - 1880 - 178 pagina’s
...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 pagina’s
...-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 pagina’s
...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 - 1880 - 426 pagina’s
...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 pagina’s
...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 pagina’s
...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 - 1881 - 236 pagina’s
...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... | |
 | 1884 - 538 pagina’s
...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 pagina’s
...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... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
