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. Pure Mathematics - Page 1191874Full view - About this book
| 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
...connected with our present subject. Euclid has proved, in the 32nd Proposition of his First BccV. that **the three interior angles of every triangle are equal to two right angles,** that is, to 180°. Let the hear this fact in mind. Hence it follows that if the of any two angles of... | |
| 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... | |
| Proclus (Diadochus.), Marinus (of Naples.) - 1788
...under fome general* klea, of which we pofleis a previous knowledge : thus, he who already knows that **the three interior angles of) every triangle are equal to two right,** and' is as yet ignorant that fome particular figure delineated on paper is- a triangle, isv no fooner... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| Euclides - 1814
...b v ^. v ^ A 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...the two interior and opposite angles ; and the three** inferior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one... | |
| John Mason Good, Olinthus Gilbert Gregory - 1819
...draw a straight 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.... | |
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