| 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 - Trigonometry - 1849 - 359 pages
...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,... | |
| Euclides - 1849
...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... | |
| Elias Loomis - Conic sections - 1849 - 226 pages
...are sides of the polygon BCDEF. Also, the angles of the polygon, together with four right angles, are **equal to twice as many right angles as the figure has sides** (Prop. XXVIII., BI); hence all the angles of the triangles are equal to all the angles of the polygon,... | |
| CHARLES DAVIS, L.L. D. - 1850
...triangles is equal to two right angles (Th. xvii) : hence, 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 P is equal to four right angles (Th. ii. Cor. 3) ; and... | |
| Her MAjesty' Inspectors of schools - 1850
...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. If the square described upon one side of a triangle be equal to the sum of the squares described... | |
| Charles Davies - Geometry - 1850 - 216 pages
...triangles is equal to two right angles (Th. xvii) : hence, 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 P is equal to four right angles (Th. ii. Cor. 3) ; and... | |
| 1850
...proposition that all the interior angles of any rectilinear figure, together with four right angles, are **equal to twice as many right angles as the figure has sides** : and the dictum is equally true, too, in moral science — only in any particular case to dogmatize... | |
| Great Britain. Committee on Education - 1850
...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. If the square described upon one side of a triangle be equal to the sum of the squares described... | |
| Sir Henry Edward Landor Thuillier - Surveying - 1851 - 718 pages
...approximation to the proof required, viz. : >lst. " That the sums of all the interior angles shall **be equal to twice as many right angles as the figure has sides,** less four right angles" and — 2nd. As regards the linear measurements, " That the sums of the Northings... | |
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