 | Euclides - 1848 - 52 pages
...triangle are together equal to two right angles. COR. 1. All the interior angles of any rectilineal figure together with four right angles, are equal...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... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...the angles at the point r, which is the common vertex of the triangles ; that is (Cor. 2. i. 15.), together with four right angles. Therefore all the...twice as many right angles as the figure has sides. COR. 2. All the exterior angles of any rectilineal figuro, are together equal to four right angles.... | |
 | Elias Loomis - Conic sections - 1849 - 252 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 - 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... | |
 | Her MAjesty' Inspectors of schools - 1850 - 912 pages
...Question is only to be answered in each Section.) Section I. 1. All the interior angles of any rectilineal figure, together with four right angles, are equal...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 - 942 pages
...Question is only to be answered in each Section.) Section I. 1. All the interior angles of any rectilineal figure, together with four right angles, are equal...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
...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 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... | |
 | 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... | |
 | Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...figure, together with the angles at the point F, which is the common vertex of the triangles ; that is, together with four right angles. Therefore all the...twice as many right angles as the figure has sides. Cor. 4. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
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Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. 
