| Edward Harri Mathews - 1879
...off equal parts from AB, AC. 2. If a side of any triangle be produced, the exterior angle is equal to **the two interior and opposite angles ; and the three interior angles of every triangle are** together equal to two right angles. The alternate sides of a polygon are produced to meet ; show that... | |
| Edwin T. Olver - 1879
...(OPTIONAL.)— Time allowed 1| hour. 1. If a side of any triangle be produced, the exterior angle is equal to **the two interior and opposite angles ; and the three interior angles of every triangle are** together equal to two right angles. 2. In every triangle, the square of the side subtending either... | |
| Moffatt and Paige - 1879 - 474 pages
...QEF Proposition XXXII. Theorem. If a side of any triangle be produced, the exterior angle is equal to **the two interior and opposite angles; and the three interior angles of every triangle are** together equal to two right angles. Let ABC be a triangle. Let one of its sides BC be produced to D.... | |
| W J. Dickinson - Geometry - 1879 - 36 pages
...difference of BD and CE. 32. If a side of any triangle be produced, the exterior angle is equal to **the two interior and opposite angles, and the three interior angles of every triangle are** together equal to two right angles. If the straight line bisecting the exterior angle be parallel to... | |
| Olaus Henrici - Congruences (Geometry) - 1879 - 220 pages
...two right angles, or =tr. § 138. At the same time it has been proved Theorem: In every triangle an **exterior angle is equal to the sum of the two interior and opposite angles;** or Every angle in a triangle is supplementary to the, sum of the other two. This shows also that in... | |
| William Henry Searles - 1880 - 503 pages
...bisects the base, It bisects the vertical angle. And is perpendicular to the base. 5 L, XXV., Cor. 6.. **If one side of a triangle is produced, The exterior...to the sum of the two interior and opposite angles.** 6 IV., XX I, XXVII If two triangles are mutually equiangular, They are similar. And their corresponding... | |
| 1880 - 153 pages
...(OPTIONAL.)—Time allowed If hoar. 1. If a side of any triangle be produced, the exterior angle is eqiul to **the two interior and opposite angles ; and the three interior angles of every triangle are** together equal to two right angles. Majorca Iceland Teneriffe Madeira Mauritius Java Ceylon Heligoland... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880
...successive impacts. EUCLID. 1. If a side of a triangle be produced, the exterior angle is equal to **the two interior and opposite angles ; and the three interior angles of every triangle are** together equal to two right angles. A is the greatest angle of a triangle ABC ; show how to divide... | |
| Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...= EC. D PROP. XXXII. THEOREM. // a aide of any triangle be produced, the exterior angle is equal to **the two interior and opposite angles ; and the three interior angles of every triangle are** together equal to two right angles. Let ABC be a triangle, and let one of its sides, BC, be produced... | |
| 1880 - 160 pages
...angles shall be equal. (iv.) If a side of any triangle be produced, the exterior angle is equal to **the two interior and opposite angles ; and the three interior angles of every triangle are** together equal to two right angles. (v.) Parallelograms on the same base, and between the same parallels,... | |
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