| Elias Loomis - 1861 - 244 páginas
...there are sides of the polygon BCDEF. Also, the anGEOMETRY. gles of the polygon, together with lour 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... | |
| Euclides - 1862 - 172 páginas
...all the triangles, are equal to four right angles, (i. 15, cor. 2) 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. Att the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclides - 1862 - 140 páginas
...with its adjacent exterior angle ABD, are equal to two right angles. (I. 13.) angles of the figure, are equal to twice as many right angles as the figure has sides. 3. But all the interior angles, together with four right angles, are equal to twice as many... | |
| University of Oxford - 1863 - 316 páginas
...fall on it from the opposite angle, and the acute angle. 4. 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. 5. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to... | |
| Euclides - 1863 - 122 páginas
...point F within the Cor. 1.—All the interior angles (ABC, BCD, &c.) of any rectilineal figure (ABCDE) together with four right angles are equal to twice as many right angles as the figure has sides. ., figure to each of its angles. \ Because the three interior angles of a triangle are equal... | |
| Henry S. Merrett - 1863 - 476 páginas
...sides. It has been proved by the foregoing corollary that all the interior angles, together with the four right angles, are equal to twice as many right angles as the figure has sides. Therefore all the interior angles, together with all the exterior angles, are equal to all the... | |
| Henry S. Merrett - 1863 - 428 páginas
...sides. It has been proved by the foregoing corollary that all the interior angles, together with the four right angles, are equal to twice as many right angles as the figure has sides. Therefore all the interior angles, together with all the exterior angles, are equal to all the... | |
| Euclides - 1864 - 448 páginas
...Wherefore, if a side of any triangle be produced, &c. QED 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. D For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides,... | |
| Euclides - 1864 - 262 páginas
...equal to two right angles, (l. 13.) therefore all the interior angles, together with all the exterior angles, are equal to twice as many right angles as the figure has sides ; but it has been proved by the foregoing corollary, that all the interior angles together with... | |
| Robert Potts - 1865 - 528 páginas
...Wherefore, if a side of any triangle be produced, &c. QED 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. For any rectilineal figure ABCDE can be divided into as maay triangles as the figure has sides,... | |
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