| Euclid - 1845 - 199 sider
...which is the common vertex of the triangles ; that is, IT together * *5c°r. with four right angles. **Therefore all the. angles of the figure, together...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.... | |
| Euclid, James Thomson - 1845 - 352 sider
...as there are triangles ; that is, as there are sides in the figure BCDEF ; and that (I. 32, cor. 1) **all the angles of the figure, together with four right angles, are** likewise equal to twice as many right angles as there are sides in the figure ; therefore all the angles... | |
| Nathan Scholfield - 1845
...two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVIII.) ; 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 angles, is equal to twice as... | |
| Euclides - 1846
...with the angles at the point F, that is, together with four right angles (1. 15, Cor. 2) : "Wherefore **all the angles of the figure, together with four right...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 - 1846 - 138 sider
...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, each... | |
| 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 - 1846 - 317 sider
...angles as there are triangles (32. 1.) ; that is, as there are sides in the figure BCDEF ; and because **all the angles of the figure, together with four right angles, are** likewise equal to twice as many right angles as there are sidesinthefigure(lcr. 32. 1. ^therefore all... | |
| 1847
...paid off? OEOMETBY AND TRIGOSO1IETBY. SECTION I. — 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal...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... | |
| Great Britain. Committee on Education - 1847
...debt be paid off? GEOMETRY AND TRIGONOMETRY. 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** hag sides. 2. Equal triangles, upon equal bases in the same straight line, and towards the same parts,... | |
| Charles William Hackley - 1847 - 103 sider
...Hence it follows that the sum of all the inward angles of the polygon alone, A + B -f- C + D + E, is **equal to twice as many right angles as the figure has sides,** wanting the said four right angles. QED Corol. 1. In any quadrangle, the sum of all the four inward... | |
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