| Euclides - Geometry - 1841 - 351 pages
...angles. Wherefore, if a side of a triangle, &c. QED 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,... | |
| Euclides - 1842
...triangles ; that is (2. Cor. 13. 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 angles as the figure has** sides. COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| John Playfair - Euclid's Elements - 1842 - 317 pages
...as the figure has sides ; but the exterior are equal to four right angles ; therefore the interior **are equal to twice as many right angles as the figure has** sides, wanting four. PROP. II. Two straight lines, which make with a third line the interior angles... | |
| Euclid, James Thomson - Geometry - 1845 - 352 pages
...equal to two right angles. Wherefore, if a side, &c. 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 - Geometry - 1845 - 199 pages
...angles. Wherefore, if a side of a triangle, &c. QED COB. 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. the angles of these triangles are equal to twice as many right angles as there are triangles,... | |
| Euclides - 1845
...triangles are equal to twice as many right angles as the figure has sides ; therefore all the angles of the **figure together with four right angles are equal to twice as many right angles as the figure has** sides. COR. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| Euclides - 1846
...point F, that is, together with four right angles (1. 15, Cor. 2) : "Wherefore all the angles of the **figure, together with four right angles, are equal to 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.... | |
| Dennis M'Curdy - Geometry - 1846 - 138 pages
...ax. 2 ! (4) p. 27; (c) p. 13. (e)p.29; Cor. 1. All the interior angles of any rectilineal figure and **four right angles, are equal to twice as many right angles as the figure has** sides. For, about a point within the figure, as many triangles may be formed as the figure has sides,... | |
| Euclides - 1846
...internal, are equal to twice as many right angles, as there are sides of the figure ; but the internal **with four right angles, are equal to twice as many right angles as** there are sides of the figure (by Cor. 6) ; take away from both the internal angles, and the external... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 317 pages
...as the figure has sides ; but the exterior are equal to four right angles ; therefore the interior **are equal to twice as many right angles as the figure has** sides, wanting four. PROP. II. Two straight lines, which make with a third line the interior angles... | |
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