| Mathematics - 1836 - 488 pages
...a side of any triangle be produced, the exterior angle is equal to the two interior and op. posite angles ; and the three interior angles of every triangle are equal to two right angles. Сон. 1. All the interior angles of any rectilineal figure are equal to twice as many right angles... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...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 equal to two right angles. Steps of the Demonstration. 1. Prove that the altern. Z BAC = alternate Z ACE, And since AB, CD are... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...THEOR. / 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 rightfmgles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exteripr angle... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...triangle he produced, the exterior angle is equal to the two interior and opposite angles ; and vie three interior angles of every triangle are equal to two right angles. Let ABC he a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is .equal... | |
| Euclides - 1838 - 264 pages
...XXXII. THEOR. 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. Let ABC be a triangle, and let one of its sides BC be produced to D : the exterior angle ACD shall... | |
| Euclides - Geometry - 1841 - 378 pages
...XXXII. THEOR. 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. Let ABC be a triangle, and let one of its sides BC be produced to D; the exterior angle ACD shall be... | |
| John Joseph Griffin - Crystallography - 1841 - 538 pages
...Acuic-anylcd, when the triangle has three acute angles. See the triangular planes on Model 73. «7, The three interior angles of every triangle are equal to two right angles. — It, If two angles of a triangle be given, the third is equal to the difference between their sum... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...XXXII. THEOR. 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. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal... | |
| Euclides - 1842 - 316 pages
...XXXII. THEOR. 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. Let ABC be a triangle, and let one of its sides, вc be produced to D; the exterior angle AC D is equal... | |
| William Honyman Gillespie - God - 1843 - 422 pages
...subjective mind. § 65. To illustrate this doctrine by an example taken from the science of magnitude. That the three interior angles of every triangle are equal to two right angles, is a truth which, if the demonstration has been followed, cannot but be believed, when the subject... | |
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