| Euclides - 1874
...that the angles of the triangles are equal to twice as many right angles as the figure has sides ; **therefore all the angles of the figure together with...equal to twice as many right angles as the figure has** sides. Cor. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| Euclides - 1874
...equal to four right angles. Therefore, &c. COROLLARY 2. 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. n For any interior angle ABD, together with its *3 • adjacent exterior angle DBC is equal... | |
| Francis Cuthbertson - 1874 - 349 sider
...vKw, wKu, &c., and are /. together = four right L s. (i. 9) COR. All the interior angles «fa polygon **together with four right angles are equal to twice as many right angles as the figure has** sides. O For the L NOP of the polygon together with the exterior L UO V makes up two right L s. (i.... | |
| Edward Atkins - 1874
...figure, are equal to twice as many right angles as the figure has sides. But all the interior angles, **together with four right angles, are equal to twice as many right angles as the figure has** sides (I. 32, Cor. 1) ; Therefore all the interior angles, together with all the exterior angles, are... | |
| Edward Atkins - 1874
...Therefore, if a side of any triangle, &c. QED COROLLARY 1. — All t/ie interior angks of any rectilineal **figure, together with four right angles, are equal to twice as many** riff hi angles as tlie figure /ias sides. For any rectilineal figure ABCDE can, . by drawing straight... | |
| Euclides - 1874
...O, which together are equal to four right angles (I. 10, cor.); therefore the angles of the figure **are equal to twice as many right angles as the figure has** sides, less four right angles. — If the figure be a regular polygon, the magnitude of each angle,... | |
| Robert Potts - 1876 - 403 sider
...that the angles of the triangles are equal to twice as many right angles as the figure has sides ; **therefore all the angles of the figure together with...equal to twice as many right angles as the figure has** sides, COB. 2. All the exterior angles ol1 any rectilineal figure, made by producing the sides successively... | |
| Association for the improvement of geometrical teaching - 1876 - 58 sider
...triangle the two acute angles are complementary. THEOR. 26. All the interior angles of any polygon **together with four right angles are equal to twice as many right angles as the figure has** sides. COR. All the exterior angles of any convex polygon are together equal to four right angles.... | |
| Edward Atkins - 1876 - 119 sider
...F, which is the common vertex of all the triangles, arc equal to four right angles (I. 15, Cor. 2) ; **Therefore all the angles of the figure, together with four right angles,** arc equal to twice as many right angles as the figure has sides. COROLLARY 2. — All the exterior... | |
| Samuel H. Winter - 1877 - 413 sider
...Book, of which the above is a corollary, and prove 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. Each angle of a regular polygon contains £ of a right angle ; what is the number of sides of... | |
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