| John Playfair - 1832 - 333 páginas
...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...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, and let one... | |
| John Playfair - 1833 - 333 páginas
...parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a- side of any **triangle be produced, the exterior angle is equal to the two interior and opposite angles** ; anS- the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle,... | |
| Euclid - 1835 - 513 páginas
...parallel to the given ^-Y"**' straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any **triangle be produced, the exterior angle is equal...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, and let one... | |
| John Playfair - 1835 - 316 páginas
...that case, CAI and EDF would be together equal to two right angles. PROP. XXV. THEOR. If a side of any **triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and** (he three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and... | |
| 1835
...respectively, in the same order, and towards the same parts, the two angles shall be equal. PROP. 19. (Eue. **i. 32.) If one side of a triangle be produced, the exterior angle** shall be equal to the two interior and opposite angles ; and the three angles of every triangle are... | |
| John Playfair - 1836 - 114 páginas
...given point A, parallel to the given point BC. Which was to be done. PROP. V. THEOR. If a side of any **triangle be produced, the exterior angle is equal...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, and let any... | |
| 1836 - 472 páginas
...by any number of straight lines meeting in one point, are together equal to four right angles. XVI. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior, and opposite angles. XVII. Any two angles of a triangle are together... | |
| Charles Reiner - 1837 - 215 páginas
...triangle be produced, the exterior angle is greater than either of the interior and opposite angles. 7. **If one side of a triangle be produced, the exterior...is equal to the two interior and opposite angles.** 8. If each of the sides of a triangle be produced, the three exterior angles are, together, equal to... | |
| Euclid, James Thomson - 1837 - 390 páginas
...that which is described by either extremity of the base.* BOOK I. PROP. XXXII. THEOR. IF a side of any **triangle be produced, the exterior angle is equal to the two interior and** remote angles ; and the three interior angles of every triangle are together equal to two right angles.... | |
| Charles Reiner - 1837 - 215 páginas
...the word " therefore," and the sign V for the word " because." Express Nos. 4 and 5 in words. P. — **If one side of a triangle be produced, the exterior angle is** greater than either of the interior and opposite angles. M. — Write the demonstration of this truth... | |
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