| Euclid - 1822 - 179 pages
...therefore equal to B AE and EAC. Cor. 6. All the internal angles of any rectilineal figure, ABCDE, **together with four right angles, are equal to twice as many right angles as the figure has sides.** Take any point F within the figure and draw the right lines FA, FB, FC, FD, and FE. There are formed... | |
| Euclid, Rev. John Allen - Astronomy - 1822 - 494 pages
...as many right angles, except four, as the figure has sides ; and all tbe angles of these triangles **are equal to twice as many right angles as the figure has sides** (32. 1 /CM.), therefore the angles of these triangles which are at their common vertex A, being those... | |
| Euclid, Rev. John Allen - Astronomy - 1822 - 494 pages
...two right angles [13. 1} ; therefore all the exterior and interior angles of the figure are together **equal to twice as many right angles as the figure has sides** ; but the interior angles are equal to twice as many right angles, except four, as the figure has sides... | |
| Charles Hutton - Mathematics - 1822
...triangles, is equal to two right angles (th. 17) ; therefore the sum of the angles of all the triangles is **equal to twice as many right angles as the figure has sides.** But the sum of all the angles about the point p, which are so / many of the angles of the triangles,... | |
| Edward Riddle - Nautical astronomy - 1824 - 551 pages
...twice as many right angles as the figure has sides ; or the interior angles of the figure, themselves, **are equal to twice as many right angles as the figure has sides,** wanting four right angles. QED Cor. 1. All the interior angles of any quadrilateral figure are together... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...triangles : that is, (2. Cor. 15. 1 .) together with four right angles. Therefore all the angles of the **figure, together with four right angles, are equal to twice as many right** angit's as the figure has sides. Cor. 2. All the exterior angles of any rectilineal figure are together... | |
| George Lees - 1826
...to all the angles of the figure, together with four right angles ; that is, the angles of the figure **are equal to twice as many right angles, as the figure has sides** wanting four. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and a side... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...tri• 2 Cor. angles; that is * together with four right angles. There1s, 1. fore all the angles of the **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| John Radford Young - Euclid's Elements - 1827 - 208 pages
...in each triangle amounts to two right angles, therefore the angles of all the triangles are together **equal to twice as many right angles as the figure has sides,** that is to say, the sum of the angles of the polygon, together with those about the point within it,... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 324 pages
...but the angles at the point F are equal to four right angles (83) ; and therefore the angles of the **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** This is the first corollary in the Elements, and the following is the second. (135) COR. 11. — The... | |
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