| Robert Simson - Trigonometry - 1806 - 518 pages
...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 angle is...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 - 320 pages
...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 /' angle...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 - 1813 - 722 pages
...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.... | |
| 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
...^ 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 angle is...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
...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 angle is...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 - 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... | |
| John Mason Good - 1819 - 740 pages
...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.... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...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 to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... | |
| 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... | |
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