| Euclides - 1846
...internal, are equal to twice as many right angles, as there are sides of the figure ; but the internal **with four right angles, are equal to twice as many right angles as** there are sides of the figure (by Cor. 6) ; take away from both the internal angles, and the external... | |
| John Playfair - 1846 - 317 Seiten
...angles as there are triangles (32. 1.) ; that is, as there are sides in the figure BCDEF ; and because **all the angles of the figure, together with four right angles, are** likewise equal to twice as many right angles as there are sidesinthefigure(lcr. 32. 1. ^therefore all... | |
| 1847
...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 - 1847
...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
...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 - 108 Seiten
...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...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 - 1849 - 226 Seiten
...(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... | |
| 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 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
...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
...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... | |
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