 | Charles Reiner - Geometry - 1837 - 246 pages
...the exterior angle is greater than either of the interior and opposite angles. 7. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. 8. If each of the sides of a triangle be produced, the three exterior angles are, together, equal to... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...A parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any 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... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...given point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle...sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle,... | |
 | Euclid - Geometry - 1838 - 470 pages
...given point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. Ir a side of any triangle be produced, the exterior angle...angles of every triangle are equal to two right angles. ROOK I. triangle, viz. ABC, BCA, CAB, are together equal to two right angles. Through the point C draw... | |
 | Euclides - 1838 - 264 pages
...drawn from the eertex to the point of section dieides the outward angle of the triangle into two equal angles. Let ABC be a triangle, and let one of its sides BA be produced to E; and let the outward angle CAE be divided into two equal angles by the straight... | |
 | 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... | |
 | Euclides - 1842 - 316 pages
...drawn through the given point A parallel to the given straight line в c. QEF PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle...angles. Let ABC be a triangle, and let one of its sides, вc be produced to D; the exterior angle AC D is equal to the two interior and opposite angles CAB,... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...angles are also equal. Now, this being demonstrated, it is easy to prove that the three angles of any triangle are equal to two right angles. Let ABC be a triangle right angled at A, draw AD perpendicular to BC. The triangles ABD, ABC have the angles BAC, BDA right... | |
 | 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... | |
 | James Pycroft - Classical education - 1843 - 256 pages
...complicated nature, any more than the Moralist should suppose he can render it highly probable that the three interior angles of every triangle are equal to two right angles, or the Orator exhaust his powers of persuasion in trying to enlist the affections in favour of 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. 
