 | Francis Cuthbertson - 1874 - 400 σελίδες
...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 - 426 σελίδες
...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 - 428 σελίδες
...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... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...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 - 446 σελίδες
...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,... | |
 | Association for the improvement of geometrical teaching - 1876 - 66 σελίδες
...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 - 130 σελίδες
...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 - 452 σελίδες
...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 - 1877 - 458 σελίδες
...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 - 72 σελίδες
...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... | |
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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. 
