 | University of Oxford - Education, Higher - 1863 - 316 pages
...any triangle be produced, the exterior angle is equal to the two interior and opposite angles j and the three interior angles of every triangle are together equal to two right angles. Add and prove the corollaries. 6. The opposite sides and angles of a parallelogram are equal to one... | |
 | Euclides - 1863 - 74 pages
...afterwards be taken for granted. For instance, when we have once established the truth, that " the interior angles of every triangle are together equal to two right angles," and we afierwards come to a proposition in the demonstration of which we need this established truth,... | |
 | Euclides - 1864 - 448 pages
...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 A BC be a triangle, and let one of its sides B Cbe produced to D. Then the exterior angle A CD shall... | |
 | Robert Potts - 1865 - 528 pages
...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 AB C be a triangle, and let one of its sides BC be produced to D. Then the exterior angle A CD shall... | |
 | Euclides - 1865 - 402 pages
...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. Cor. 1. All the interior angles of any rectilineal figure, together with four right angles, are equal... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...side of a triangle be produced, the exterior angle is equal to the two interior opposite angles : and the three interior angles of every triangle are together equal to two right angles. [ECS] EXAMINATION PAPER. MONDAY. Divinity. 90. S. Mark xii. 37. Explain how CHEIST was both David's... | |
 | Euclides - 1865 - 80 pages
...time equal to the two angles ADB and ADC, which are (5) together equal to two right angles ; wherefore the three interior angles of every triangle are together equal to two right angles. Cor. 1. If two angles of one triangle be equal to two angles of another, the triangles are equiangular.... | |
 | Benjamin Greenleaf - Geometry - 1866 - 328 pages
...of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and let one of its sides, BC be produced towards D ; then the exterior angle ACD is equal to the two interior and opposite angles, CAB, ABC.... | |
 | Anti-Catholicism - 1866 - 692 pages
...specimens of well-sustained argument ever put forth. The man who, after studying Euclid, should deny that " the three interior angles of every triangle are together equal to two right angles," would be considered incapable of understanding argument at all ; and so no one possessed of ordinary... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...any triangle &« produced, tlie exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle, are together...triangle, and let one of its sides BC be produced to D : the exterior angle A CD shall be equal to the two interior and opposite angles CA B, ABC; and the... | |
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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 equal to two right angles. 
