| Euclid, Thomas Tate - 1849 - 120 pages
...&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... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...there 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 Davies - Trigonometry - 1849 - 372 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... | |
| 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 since... | |
| Charles Davies - Geometry - 1850 - 238 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 since... | |
| Great Britain. Committee on Education - 1850 - 942 pages
...Section.) 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 - 524 pages
...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... | |
| Her MAjesty' Inspectors of schools - 1850 - 912 pages
...Section.) 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... | |
| Janet Taylor - Nautical astronomy - 1851 - 674 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, wanting... | |
| Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...proved, " that 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"** or in other words that — In any rectilineal figure, the sum of all the interior angles, is equal... | |
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