| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...Wherefore, if a side of a triangle, &c. Q. E, zi. COR. 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal to twice as many right angles as the figure has** sides. For any rectilineal figure ABCDE, can be divided into as many triangles as the figure has sides,... | |
| 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 to 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.... | |
| John Playfair - Geometry - 1829 - 186 pages
...twice — > -fQ as many right angles as there are sides of the figure. But all the interior angles **together with four right angles are equal to twice as many right angles as** there are sides of the figure (Prop. L). Therefore all the interior and all the exterior angles are... | |
| Thomas Curtis - Encyclopedias and dictionaries - 1829
...twice as 118 119 липу right angles as the figure has sides. Hence the interior angles of the figure **are equal to twice as many right angles as the figure has** sides wanting four right angles. Cor. 1. All the interior angles of a quadrilateral figure are together... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...four right angles ; and the. figure has as many angles as sides : therefore all the interior angles **together with four right angles are equal to twice as many right angles as the figure has** sides. Therefore, Sty. Cor. The four angles of a quadrilateral are together equal to four right angles.... | |
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