| 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 - Geometry, Plane - 1876 - 403 pages
...if a side of any triangle be produced, &c. QED, Con. 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. D For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides,... | |
| 1876
...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 pages
...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... | |
| Samuel H. Winter - 1877 - 413 pages
...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... | |
| Elias Loomis - Geometry - 1877 - 443 pages
...angles as the figure has sides. Let ABCDE be any polygon ; then all its interior angles A, B, C, D, E, **together with four right angles, are equal to twice as many right angles as the figure has** sides. £3 O For, from any point, F, within it, draw lines FA, FB, FC, etc., to all the angles. The... | |
| Edward Atkins - 1877
...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... | |
| Āryabhaṭa - 1878
...triangles are equal to twice as many right angles as the figure has sides. 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. Cor. 2. All the exterior angles of any rectilineal Jigure, made by producing the sides successively... | |
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