| John Mason Good - 1819 - 800 pages
...line through a given tioint parallel to a given straight line. Prop. XXXII. Theor. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles : anil the three interior angles of every triaugie are equal to two riyht angles. Prop. XXXIII. Theor.... | |
| John Playfair - 1819 - 354 pages
...the given straight linp BC. Which was to be done. PROP. XXXII. THEOR. 'if a side of any triangle bf produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of everif triangle are equal to two right angles. Let ABC be a triangle,... | |
| 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... | |
| 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
...any number 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... | |
| Euclid - 1826 - 234 pages
...three remaining sides equal to each other. PROPOSITION XXXII * THEOREM. One side of any triangle being produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of a triangle are equal to two right angles. Let ABC be a triangle ;... | |
| Euclides - 1826 - 226 pages
...angle equal to a given rectilineal angle. PROPOSITION XXXII* THEOREM. One side of any triangle being produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of a triangle are equal to two right angles. Eoint c draw CE parallel... | |
| 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... | |
| John Playfair - Geometry - 1829 - 210 pages
...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... | |
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