| John Playfair - Circle-squaring - 1819 - 350 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... | |
| 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... | |
| Pierre Simon marquis de Laplace, Thomas Young - Capillarity - 1821 - 402 pages
...(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 - Mathematics - 1825 - 1046 pages
...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 - 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...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 - Geometry - 1829 - 210 pages
...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 - 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 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 pages
...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... | |
| 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... | |
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