 | 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)... | |
 | 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... | |
 | Education, Higher - 1882 - 498 pages
...together equal to two right angles, these two straight lines are in one and the same straight line. 6. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 7. The greater side of every triangle is opposite to the greater angle. 8. Place a straight line of... | |
 | 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... | |
 | 1883 - 248 pages
...between the angles which the line drawn across makes with the two parallel straight lines. 4. Prove that, if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles, and that the three angles of every triangle... | |
 | Education - 1883 - 654 pages
...equal to the angle contained by the two lides equal to them of the other. See Prop. VIII. Bk. I. 3. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. See Prop. XVI. Bk. I. 20 [MARCH, 1882. Music. A quarter of an hour allmved far this Paptr. i. Write,... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
