 | John Playfair - 1837 - Liczba stron: 332
...straight line BC. PROP. XXXII. THEOR. / If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the...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 - 1837 - Liczba stron: 290
...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 to the... | |
 | Euclid - 1838 - Liczba stron: 470
...to be done. PROP. XXXII. THEOR. Ir a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three...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 - Liczba stron: 264
...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... | |
 | Euclides - 1841 - Liczba stron: 378
...to he done. . PROP. 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...sides BC be produced to D; the exterior angle ACD shall be equal to_ the two interior and opposite angles CAB, ABC: and the three interior angles of... | |
 | John Joseph Griffin - 1841 - Liczba stron: 538
...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 - Liczba stron: 316
...line в c. QEF PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the...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 - 1842 - Liczba stron: 332
...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... | |
 | James Pycroft - 1843 - Liczba stron: 256
...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... | |
 | William Honyman Gillespie - 1843 - Liczba stron: 422
...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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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. 
