| Euclides - 1837 - 112 Seiten
...reference to the complete demonstration of the steps as given in Euclid. 89 PROPOSITION XVI. Theorem. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Steps of the Demonstration. I. Prove that (in... | |
| John Playfair - 1837 - 332 Seiten
...of straight lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. **If one side of a triangle be. produced, the exterior angle is** greater than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC... | |
| Andrew Bell - 1837 - 240 Seiten
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
| Euclides - 1838 - 264 Seiten
...opposite angle is mentioned, an angle non-aitjactnt to the former is always meant. PROP. XVI. THEOR. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
| Euclides - 1841 - 378 Seiten
...parallel to the given straight line BC. Which was to he done. . PROP. XXXII. THEOR. If a side of any **triangle be produced, the exterior angle is equal...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... | |
| Euclides - 1842
...ther equal (13.1.) to two right angles ; ^\ and CEA, AED have been demonstrated D PROP. XVI. THEOR. **IF one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
| John Playfair - 1842 - 332 Seiten
...of straight lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC... | |
| Euclid, James Thomson - 1845 - 382 Seiten
...AED and BEC might be inferred from the 13th proposition, and the third axiom. PROP. XVI. THEOR. — **If one side of a triangle be produced, the exterior angle is** greater than either of the interior remote angles. Let ABC be a triangle, and let its side BC be produced... | |
| Euclid - 1845 - 199 Seiten
...of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOR. — **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
| Euclides - 1845 - 544 Seiten
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
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