 | Henry S. Merrett - 1863 - 476 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 262 σελίδες
...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,... | |
 | Robert Potts - 1865 - 528 σελίδες
...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. Con. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
 | William Harris Johnston - 1865 - 478 σελίδες
...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 - 402 σελίδες
...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... | |
 | Euclides - 1865 - 80 σελίδες
...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 - 440 σελίδες
...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 - 426 σελίδες
...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... | |
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F, which is the common vertex of the triangles ; that is, together with four right angles. 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. 
