| Geography - 1867 - 964 pages
...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... | |
| William Enfield, Johann Jakob Brucker - Early works to 1800 - 1791 - 610 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... | |
| John Playfair - Mathematics - 1806 - 320 pages
...I. given straight line BC. Which was to be done. " PROP. XXXII. THEOR; IF a side of any triangle be **produced, the exterior /' angle is equal to the two...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... | |
| Robert Simson - Trigonometry - 1806 - 548 pages
...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 equal to the two interior...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 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... | |
| John Mason Good - 1813 - 714 pages
...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 - 560 pages
...given straight line BC. Which was to be done. • PROP. XXXII. THEOR. IF a side of any triangle be **produced, the exterior angle is equal to 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 - 592 pages
...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 equal to the two interior...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... | |
| Daniel Cresswell - Geometry - 1816 - 338 pages
...between the same two equal and parallel circles, AH and BIC. r PROP. X. (206.) Theorem. Equal spherical **triangles upon the same base, and upon the same side of it,** or upon equal arches of the same great circle and towards the same parts, are between the same parallel... | |
| John Playfair - 1819 - 354 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... | |
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