| John Aikin - Biography - 1813 - 720 pages
...four. Of the geometrical theorems ascribed 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 space about a given point, are the equilateral... | |
| Euclides - 1814 - 558 pages
...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... | |
| Euclides - 1816 - 528 pages
...*~^v~^ A parallel to the given straight line BC. Which was to * 27' 1. 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 - 1819 - 740 pages
...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.... | |
| John Playfair - 1819 - 317 pages
...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...opposite angles ; and the three interior angles of** everif triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...the given point A parallel to the given straight line BC. Which was to be done. PROP. xxxn. THEOR.. **If a side of any triangle be produced, the exterior ang.Le is equal** tojhe two interior and opposite angles ; and the three interior angles of every triangle are equal... | |
| Johann Jakob Brucker, William Enfield - Philosophy - 1819 - 540 pages
...1. xiv. c, 33. "Boeth. deMus. 1. iv. c. 14. Pythagorjis, 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 space about a given point, are the equilateral... | |
| Anthony Nesbit, W. Little - Measurement - 1822 - 916 pages
...produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; also **the three interior angles of every triangle are together equal to two right angles.** (Em. I. 32. Simp. I. 9, 10. Em. IL I, 2 J A C THEOREM V. Let the parallelograms ABCD, DBCEbe upon the... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...point A, parallel to the given straight line BC. Which was to be done. Proposition XXXII. Theorem. **If a side of any triangle be produced, the exterior angle is** eqnA to the two interior and opposite angles ; and the three interior angles of every triangle are... | |
| Euclides - 1826 - 226 pages
...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...opposite angles, and the three interior angles of** a triangle are equal to two right angles. Eoint c draw CE parallel to the right neAB ; a and because... | |
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