| John Playfair - 1846 - 317 sider
...to twice as many right angles as the figure has sides, wanting four. For all the angles exterior and **interior are equal to twice as many right angles as the figure has sides** ; but the exterior are equal to four right angles ; therefore the interior are equal to twice as many... | |
| Dennis M'Curdy - 1846 - 138 sider
...(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, each... | |
| Euclides - 1846
...%c. QEU 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, by... | |
| Euclides - 1846
...There are as many triangles constructed as the figure has sides, and therefore all these angles will be **equal to twice as many right angles as the figure has sides** (by Prop. 32) ; from these take four right angles, for the angles at the point F (by Cor. 3 Prop. 13),... | |
| George Moody - 1847
...SECTION I. — 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.** 2. Equal triangles, upon equal bases in the same straight line, and towards the same parts, are between... | |
| Anthony Nesbit - 1847 - 426 sider
...accuracy of the previous work. Moreover, since the sum of all the interior angles of any polygon is **equal to twice as many right angles as the figure has sides,** lessened by four ; as the given figure has five sides, the sum of all its interior angles must be 2x5... | |
| Charles William Hackley - 1847 - 103 sider
...triangles is equal to two right angles (th. 15) ; 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 F, which are so many of the angles of the triangles,... | |
| Euclides - 1848
...angles. 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.** COB. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| Charles Davies - 1849 - 359 sider
...to two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVI.); that is, **equal to twice as many right angles as the figure has sides, wanting four** right angles. Hence, the interior angles plus four right Let the sides of the polygon ABCDFG, be produced,... | |
| Euclides - 1849 - 108 sider
...&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 ABODE can be divided into as many triangles as the figure has sides, by... | |
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