| Euclides - Geometry - 1841 - 351 pages
...from a point F within the figure to each of its angles. And, by the preceding proposition, all the **angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure; and the same angles are equal to the... | |
| Euclides - 1842
...lines from a point F within the figure to each of its angles. And, by the present proposition, all the **angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure ; and the same angles are equal to the... | |
| 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 on the... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...two regular polygons, having the same number of sides. The sum of all the angles in each figure is **equal to twice as many right angles as the figure has sides,** less four right angles (BI A{ Prop. 13), and as the number of sides is the same in each figure, the... | |
| Robert Potts - 1845
...equal to two right angles, and there are as many triangles as the figure has sides, therefore all the **angles of these triangles are equal to twice as many right angles as the figure has sides** ; but the same angles of these triangles are equal to the interior angles of the figure together with... | |
| James Thomson - Geometry - 1845 - 358 pages
...from ii point F within the figure to each of its angles : and by the preceding proposition, all the **angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure ; and the same angles are equal to the... | |
| Euclid - Geometry - 1845 - 199 pages
...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, that is, as there are sides of the figure : and the same angles are equal to the... | |
| 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
...from any point F within the figure to each of its angles. Now, by the preceding proposition, all the **angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure : But all the angles of the triangles... | |
| Dennis M'Curdy - Geometry - 1846 - 138 pages
...(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... | |
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