 | Henry Major - 1873 - 588 sider
...triangles; that is, together with four right angles. Therefore all the angles of the figure, together witb four right angles, are equal to twice as many right angles as the figure has sides. XXXIII. — The straight lines which join the extremities of two equal and parallel straight... | |
 | Lewis Sergeant - 1873 - 182 sider
...angles (Prop. 9). Proposition 32.— Theorem. The inner angles of a rectilinear figure, with four riyht angles, are equal to twice as many right angles as the figure lMS sides. The figure may be divided into as p many triangles as it has sides, by joining the angular... | |
 | Euclides - 1874 - 342 sider
...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 - 1874 - 120 sider
...equal to four right angles. Therefore, &c. COROLLARY 2. 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. n For any interior angle ABD, together with its *3 • adjacent exterior angle DBC is equal... | |
 | Francis Cuthbertson - 1874 - 400 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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, COB. 2. All the exterior angles ol1 any rectilineal figure, made by producing the sides successively... | |
 | Association for the improvement of geometrical teaching - 1876 - 66 sider
...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.... | |
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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. 
