 | Edward Harri Mathews - 1879 - 94 pages
...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 - 158 pages
...(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 - 44 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 - 228 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 - 1899 - 604 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 - 186 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 - 190 pages
...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... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 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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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. 
