 | George Lees - 1826 - 276 pagina’s
...angles. OF GEOMETKV. Book I. aCor.2.4.1. g Cons. PROP. VI. THEOREM. If one side BC of any triangle, ABC, be produced to D, the exterior angle ACD is greater than either of the interior and opposite angles CBA, CAB. Bisect ACa in E, join BE, and produce it to F, making EF equal to EB... | |
 | Euclid - 1826 - 234 pagina’s
...tnan either of file interior and opposite angles. Let ABC be a triangle, and let one of its sides вс be produced to D. The exterior angle ACD is greater than either of the interior and opposite angles ; namely, the angles CBA and BAC. Bisect AC in E, and BE being joined, produce... | |
 | Euclid, John Playfair - 1826 - 326 pagina’s
...one side of a triangle be produeed, the exterior angle is greater than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC be produeed to D, the exterior angle ACD is greater than either of the interior opposite angles CBA, BAC.... | |
 | Robert Simson - 1827 - 546 pagina’s
...number of 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...its side BC be produced to D: the exterior angle ACD shall be greater than either of the interior opposite angles CBA, BAC. Bisect* AC in E, join BE and... | |
 | Pierce Morton - 1830 - 584 pagina’s
...(A} A triangle cannot have more than one right angle, or more than one obtuse angle . . nor. 7 (i) If one side of a triangle be produced, the exterior angle is greater than either uf the interior and opposite . . ._ cor. 7 (i) If one side of a triangle be greater than another, the... | |
 | Thomas Perronet Thompson - 1833 - 168 pagina’s
...Which was to be demonstrated. PROPOSITION XVI. THEOREM. — If one side of a triangle be prolonged, the exterior angle is greater than either of the interior...angles. Let ABC be a triangle, and let its side BC be prolonged to D. The exterior angle ACD is greater than either of the interior opposite angles CAB,... | |
 | 1835 - 684 pagina’s
...A triangle cannot have more than one right angle, or more than one obtuse angle . . cor. 7 (¿) If one side of a triangle be produced, the exterior angle is greater than either of the interior and opposite wgles . , . cor, 7 (i) If one side of a Wangle be greater than another, the opposite angle... | |
 | John Playfair - 1835 - 336 pagina’s
...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 extenor angle ACD is greater than either of the interior opposite angles CBA. BAG. Join B and E the... | |
 | 1836 - 488 pagina’s
...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.... | |
 | Euclides - 1837 - 112 pagina’s
...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...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... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
