 | Education - 1847 - 508 pages
...paid off? OEOMETBY AND TRIGOSO1IETBY. 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. Equal triangles, upon equal bases in the same straight line, and towards the same parts,... | |
 | Great Britain. Committee on Education - School buildings - 1847 - 606 pages
...debt be paid off? GEOMETRY AND TRIGONOMETRY. 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 hag sides. 2. Equal triangles, upon equal bases in the same straight line, and towards the same parts,... | |
 | 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 to 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
...common vertex of the triangles ; that is (Cor. 2. i. 15.), together with four right angles. Therefore all the angles of the figure, together with four right...equal to 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... | |
 | 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... | |
 | 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 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
...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 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
...revelation could supersede the reasoning of the 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 Edward Landor Thuillier - Surveying - 1851 - 826 pages
...F, which is the common vertex of the triangles ; that is, together with four right angles. Therefore all the angles of the figure, together with four right...equal to 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.... | |
 | John William Colenso (bp. of Natal.) - 1851 - 148 pages
...required. 15. It appears, from Euc. I. 32, Cor. 1, 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.' Hence if n be the number of sides of any rectilineal figure, we have the sum of its n angles... | |
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F, which is the common vertex of the triangles ; that is, together with four right angles. 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. 
