| 1836 - 472 Seiten
...by any number of straight lines meeting in one point, are together equal to four right angles. XVI. **If one side of a triangle be produced, the exterior angle is greater than either of the interior,** and opposite angles. XVII. Any two angles of a triangle are together less than two right angles. XVIII.... | |
| John Playfair - 1836 - 471 Seiten
...straight lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. //' **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 be produced to D, the exterior angle... | |
| Andrew Bell - 1837 - 240 Seiten
...at the point of their intersection, are together equal to four right angles. Con. 2. — And hence, **all the angles made by any number of lines meeting...greater than either of the interior opposite angles. Let** ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either... | |
| Euclides - 1837 - 88 Seiten
...word " similarly," it has reference to the complete demonstration of the steps as given in Euclid. 89 **PROPOSITION XVI. Theorem. If one side of a triangle...greater than either of the interior opposite angles.** Steps of the Demonstration. I. Prove that (in As EAB, ECF)jba*e ^ = base Fc, 'land ZBAC = Z ACF, 2... | |
| John Playfair - 1837 - 318 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 be produced to D, the exterior angle... | |
| Charles Reiner - 1837 - 215 Seiten
...the word " therefore," and the sign V for the word " because." Express Nos. 4 and 5 in words. P. — **If one side of a triangle be produced, the exterior angle is greater than either of the interior** and opposite angles. M. — Write the demonstration of this truth on your P. '.' £s, acd + a cb= 2... | |
| Euclid, James Thomson - 1837 - 390 Seiten
...; and CEB, might with equal case and propriety be made the common angle. In like manner, in prorIF **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 to D ; the exterior angle ACD... | |
| Charles Reiner - 1837 - 215 Seiten
...triangle be produced, 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... | |
| Euclides - 1838
...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...greater than either of the interior opposite angles. Let** ABC be a triangle, and let its side BC be prodaced to D : the exterior angle ACD shall be greater than... | |
| Euclid - 1838 - 416 Seiten
...number of lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. Ir **one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. Let** ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either... | |
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