| Cambridge univ, exam. papers - 1870
...(ZBucltJj anto İomc 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
...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
...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 - 238 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 - 349 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 - 484 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
...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
...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... | |
| |