 | John Playfair - 1819 - 350 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... | |
 | John Playfair - 1819 - 354 Seiten
...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... | |
 | Pierre Simon marquis de Laplace, Thomas Young - 1821 - 402 Seiten
...(94, 82), subtract ABD, and the remainders, ABC, DBE,' are equal. In the same manner ABD= * CBE. 97. THEOREM. If one side of a triangle be produced, the exterior angle will be greater than either of the interior opposite angles. AE Bisect AB in C, draw DCE; take CE=CD,... | |
 | Peter Nicholson - 1825 - 1046 Seiten
...the angles they make at the point where they cut, are together equal to four right angles. Сок. 2. And consequently that all the angles made by any...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... | |
 | Robert Simson - 1827 - 546 Seiten
...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...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 shall be greater than... | |
 | John Playfair - 1829 - 210 Seiten
...therefore the opposite an•les AEC, BED are equal, and also the opposite angles CEB, ED are equal. QED ED. PROPOSITION XVI. THEOREM.* If one side of a triangle be produced, the exterior angle will be greater than either of the interior and opposite angles. Let ABC 'be a triangle and let one... | |
 | Pierce Morton - 1830 - 584 Seiten
...(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 Seiten
...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 opposite angles. Let ABC be a triangle, and let its side BC be prolonged to D. The exterior angle ACD is greater than either... | |
 | Euclides - 1834 - 518 Seiten
...point, are together equal to four right angles. PROPOSITION XVI. THEOR — If one side of a triangle he 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 shall be greater than... | |
 | 1835 - 684 Seiten
...(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... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
