| 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...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 - 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... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...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,... | |
| 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 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 - Euclid's Elements - 1835 - 336 pages
...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... | |
| 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 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 - 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 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 - 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...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 - 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 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 - Geometry - 1837 - 246 pages
...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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