 | John Playfair - 1819 - 354 pages
...straight lines meeting in one point, are together equal to four right angles-. r PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than cither of the interior, and opposite angles. Let ABC be a triangle, and let its side BC be produced... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 produced to D, the exterior angle ACD... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...are together equal to four right angles. -\. PROP. XVI. THEOR. If 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 angle is 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... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...(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... | |
 | Mathematics - 1835 - 684 pages
...(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...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 shall likewise... | |
 | Mathematics - 1836 - 488 pages
...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...than either of the interior, and opposite angles. XVII. Any two angles of a triangle are together less than two right angles. XVIII. The greater side... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...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...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 ACD is greater than... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...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...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 ACD is greater than... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...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 As EAB, ECF)jba*e ^ = base Fc, 'land... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. 
