| Henry S. Merrett - 1863 - 317 Seiten
...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
...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
...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 - 1864
...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 many triangles as the figure has sides,... | |
| Euclides - 1865
...1.) Wherefore, if a side of a triangle, &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. DEMONSTRATION For, any rectilineal figure ABCDE can, by drawing straight lines from a point... | |
| William Harris JOHNSTON - 1865
...32nd prop, of Euclid, Book I., it is demonstrated 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." Hence, the sum of all the angles of a rectilinear figure will be found by taking twice as many... | |
| Euclides - 1865
...figure has sides wanting four right angles. Let ABODE be any given rectilineal figure, all its interior **angles are equal to twice as many right angles as the figure has** sides wanting four right angles. From F, a point within the figure, draw the straight lines AF, BF,... | |
| Samuel Alsop - 1865 - 428 Seiten
...and B ABC + BAC + ACB = two right angles. (32.1.) 76. The interior angles of any rectilineal figure **are equal to twice as many right angles as the figure has** sides, diminished by four right angles. The interior angles of a quadrilateral are therefore equal... | |
| Euclid, Isaac Todhunter - 1867 - 400 Seiten
...triangles, that is, together with four right angles. [I. 15. Corollary 2. Therefore all the interior **angles of the figure, together with four right angles,...equal to twice as many right angles as the figure has** sides. COROLLARY 2. All the exterior angles of any rectilineal figure are together equal to four right... | |
| William Thomas Brande, George William Cox - 1867
...polygons, the first corollary to his prop. 32, book i. (according to which all the interior angles, **together with four right angles, are equal to twice as many right angles as the figure** hns sides), is also true for concave polygons. His second corollary, however, according to which the... | |
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