 | Cambridge univ, exam. papers - 1870 - 272 pages
...(ZBucltJj anto ©omc Sections. 1. IP 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 sides AS, AC of a triangle ABG are produced to E, F and the... | |
 | Euclides - 1871 - 136 pages
...a given straight line. 4—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. J> Let ABC be a A , and let one of its sides, BC, be produced to... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...namely, ODE and DOB, are equal, the lines E Fand AB are parallel. (Prop. XXVII.) PROPOSITION XXXTT. If a side of a triangle is produced, the exterior angle...opposite angles; and the three interior angles of a triangle are together equal to two right angles. For the construction employed in this proposition... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...triangle is equal to one third of two right angles, or two thirds of one right angle. 39, Cor. 6. If fmy side of a triangle is produced, the exterior angle...equal to the sum of the two interior and opposite. THEOREM VIII. 40, If two triangles have two sides and the included angle of the one respectively equal... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...triangle is equal . to one third of two right angles, or two thirds of one right angle. 39. Cor. 6. If any side of a triangle is produced, the exterior angle...equal to the sum of the two interior and opposite. THEOREM VIII. 40. If two triangles have two sides and the included angle of the one respectively equal... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...line. PROPOSITION XXXII. THEOREM. If a side of any triangle le 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 A , and let one of its sides, BC, be produced to D.... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...cannot have more than one angle as great as a right angle. 72. Cor. 4. If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. THEOREM XX. Let ABCDE be any polygon ; then the sum of all its interior angles, A, B, C, D, E, is equal... | |
 | Chalmers Izett Paton - Freemasonry - 1873 - 560 pages
...having been demonstrated that the three angles of a triangle are equal to two right angles ; or that if one side of a triangle is produced, the exterior angle is equal to the interior and opposite, or, according to the 47th proposition of the First Book of Euclid, the figure... | |
 | Herbert Spencer - Psychology - 1873 - 670 pages
...one in Proposition xxxii. " If the side of any triangle be produced, tho 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... | |
 | Herbert Spencer - 1873 - 678 pages
...one in Proposition xxxii. " If the 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, and let one of its sides BC be produced... | |
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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. 
