| Robert Simson - Trigonometry - 1762 - 466 pages
...parallel to the given ftraight line BC. Book I. Which was to be done. PROP. XXXII. THEO R. TF a fide **of any triangle be produced, the exterior angle is equal to the two interior and** oppofite angles ; and the three interior angles of every triangle are ec(ual to two right angles. Let... | |
| Popular educator - 1767
...в together make up the angle r> с в, which is therefore equal to the angles с в А, в A c. 7. **The three interior angles of every triangle are together equal to two right** anglet. In Fig. 5 the angle BCD has been shown to be equal to the angles с в А, в А с ; to each... | |
| Euclid - 1781 - 520 pages
...to the given Book I. ftraight line BC. Which was to be done. b 29. 1. PROP. XXXII. THEOR. TF a fide **of any triangle be produced, the exterior angle is equal to the two interior and** oppofite angles ; and the three interior angles of every triangle are equal to two right angles. Let... | |
| William Enfield, Johann Jakob Brucker - Philosophy - 1791 - 628 pages
...four. Of the geometrical theorems afcribed to Pythagoras, the following are the principal; that the **interior angles of every triangle are together equal to two right angles;** that the only polygons which will fill up the whole fpace about a given point, are the equilateral... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...point A parallel to the given flraight line BC. Which was to be done. PROP. XX.XIL THEOR. IF a fide **of any triangle be produced, the exterior angle is equal to the two interior and** oppoiite angles ; and the three interior angles of every triangle are equal to two right angles. Let... | |
| John Playfair - Euclid's Elements - 1804 - 440 pages
...parallel to the Book *• given ftraight line BC. Which Was to be done. PROP. XXXII. THE OR. IF a fide **of any triangle be produced, the exterior angle is equal to the two interior and** oppofite angles ; and the three interior angles of every triangle are equal to two right angles. Let... | |
| Robert Simson - Trigonometry - 1804
...parallel to the given ftraight line Book 1. BC. Which was to be done. ^ -y PROP. XXXII. THE OR. IF a fide **of any triangle be produced, the exterior angle is equal to the two interior and** oppofite angles ; and the three interior angles of every triangle are equal to two right angles. Let... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...parallel to the given Book I. straight line BC. Which was to be done. i»» —i PROP. XXXII. THEOR. **IF a side of any triangle be produced, the exterior...and the three interior angles of every triangle are** equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...point A parallel to the Book I. given straight line BC. Which was to be done. " PROP. XXXII. THEOR; **IF a side of any triangle be produced, the exterior...and the three interior angles of every triangle are** equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...To draw a straight line thruu0h a given point 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** ansies: and the three interior angles of every triangle are equal to tiro right angles. Prop. XXXIII.... | |
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