 | 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... | |
 | 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... | |
 | 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
...the given line BC. Which was to be done. PROPOSITION XXXII. THEOREM.* 1. If any side of a rectilineal triangle be produced, the exterior angle is equal to the two interior and opposite angles taken together. Let ABC be a triangle, and let a side BC be produced to D; the exterior angle ACD is... | |
 | 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... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If aside of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle,... | |
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If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. 
