 | Robert Simson - 1827 - 546 pàgines
...any 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...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 pàgines
...(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 pàgines
...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 pàgines
...(Л) 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 pàgines
...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 pàgines
...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 - 488 pàgines
...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... | |
 | Euclides - 1837 - 112 pàgines
...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...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 - 332 pàgines
...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 - 246 pàgines
...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... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
