 | Robert Simson - Trigonometry - 1762 - 488 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... | |
 | Geography - 1867 - 878 pages
...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... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...IF a fide of any triangle be producedi 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 ABC be a triangle, and let one of its fides BC be produced to D ; the exterior angle ACD is equal... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...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 ABC be a triangle, and let one of its fides BC be produced to D. the exterior angle ACD is equal... | |
 | Euclid - 1781 - 552 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.) - 1788 - 350 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...a fide of any triangle be produced, the exterior J. 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 ABC be a triangle, and let one of its fides BC be produced to D ; the exterior angle ACD is equal... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 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 - Circle-squaring - 1804 - 468 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 - 530 pages
...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... | |
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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 equal to two right angles. 
