 | Elias Loomis - Conic sections - 1849 - 252 pages
...angles of each of these triangles, is equal to two right angles (Prop. XXVII.); therefore the sum of the angles of all the triangles, is equal to twice as many right angles as the polygon has sides. But the same angles are equal to the angles of the polygon, together with the angles... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...equal 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... | |
 | 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 - 218 pages
...three angles of each of these triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is equal to twice...sides. But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 3) ; and since this sum makes no part of the inward angles... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...three angles of each of these triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is equal to twice...sides. But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 3) ; and since this sum makes no part of the inward angles... | |
 | Thomas Baker - Railroads - 1850 - 244 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... | |
 | 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... | |
 | Great Britain. Committee on Education - 1850 - 942 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... | |
 | Her MAjesty' Inspectors of schools - 1850 - 912 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... | |
 | 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 four right angles;... | |
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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. 
