| Euclides - 1848
...angles ; and the three ulterior angles of every triangle are together equal to two right angles. COR. 1. **All the interior angles of any rectilineal figure...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... | |
| Euclides, Thomas Tate - 1849 - 108 pages
...angles CBA, BAC, ACB are equal to two right angles. Wherefore if a D side of a triangle, &c. QED COR. 1. **All the interior angles of any rectilineal figure,...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
...(Prop. XXVII., BI), that is, as 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 - 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... | |
| Great Britain. Committee on Education - 1850
...thickness. GEOMETRY AND TRIGONOMETRY. (One Question is only to be answered in each Section.) Section I. 1. **All the interior angles of any rectilineal figure,...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... | |
| Her MAjesty' Inspectors of schools - 1850
...ring. GEOMETRY AND TRIGONOMETRY. (One Question is only to be answered in each Section.) Section I. 1. **All the interior angles of any rectilineal figure,...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
...revelation could supersede the reasoning of the proposition that all the interior angles of any rectilinear **figure, together with four right angles, are equal...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... | |
| 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... | |
| 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... | |
| Ralph Smyth, Sir Henry Edward Landor Thuillier - Surveying - 1851 - 718 pages
...passing through the other end. In the 3rd Cor. Theor. V., (page 12,) it is stated and proved, " that **all the interior angles of any rectilineal figure,...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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