| John Playfair - 1819 - 317 Seiten
...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, and let one... | |
| John Mason Good - 1819 - 740 Seiten
...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 - 333 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... | |
| Peter Nicholson - 1825 - 372 Seiten
...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... | |
| Euclides - 1826 - 228 Seiten
...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 to the right... | |
| Euclid - 1826 - 180 Seiten
...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 ; and let one of... | |
| John Playfair - 1826 - 320 Seiten
...Whieh was to be done. PROP. XXXII. THEOR. If a side of any triangle be produeed, the exterior ah^ gle **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 trianelp, and let one... | |
| Robert Simson - 1827 - 513 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 angle is** greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be... | |
| John Playfair - 1829 - 186 Seiten
...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 - 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... | |
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