| Elias Loomis - Conic sections - 1849 - 252 pages
...that is, together with four right angles (Prop. V., Cor. 2). Therefore the angles of the polygon are **equal to twice as many right angles as the figure has sides,** wanting four right angles. Cor. 2. All the exterior angles of a polygon are together equal to four... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...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... | |
| Charles Davies - Geometry - 1850 - 236 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... | |
| Thomas Baker - Railroads - 1850 - 218 pages
...taking the angles or measuring the lines. But since the sum of all the interior angles of a polygon **is equal to twice as many right angles as the figure has sides,** lessened by four right angles, and since the given figure has five sides, the sum of all its five interior... | |
| Charles Davies - Geometry - 1850 - 218 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... | |
| 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... | |
| Great Britain. Committee on Education - 1850 - 914 pages
...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... | |
| 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... | |
| sir Henry Yule - 1851
...any polygon may be found from the property of such figures, that the sum of the angles of any polygon **is equal to twice as many right angles as the figure has sides, less four.** The following technical terms require explanation : — A Salient Angle is one directed outwards ;... | |
| Janet Taylor - Nautical astronomy - 1851 - 702 pages
...being the two angles made by cne line meeting another. The sum of all the outward and inward angles, **is equal to twice as many right angles as the figure has sides;** but the sum of all the inward angles is equal to twice as man1 right angles as the figure has sides,... | |
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