| Euclid - Geometry - 1845 - 218 pages
...&c. QED COB. 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.** the angles of these triangles are equal to twice as many right angles as there are triangles, that... | |
| Euclides - 1845 - 544 pages
...angles as the figure has sides ; 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. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...side, &c. 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, by... | |
| Euclides - 1846 - 292 pages
...%c. QEU 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, by... | |
| Dennis M'Curdy - Geometry - 1846 - 168 pages
...(c) p. 13. (e)p.29; Cor. 1. All the interior angles of any rectilineal figure and four right angles, **are equal to twice as many right angles as the figure has sides.** For, about a point within the figure, as many triangles may be formed as the figure has sides, each... | |
| John Playfair - Euclid's Elements - 1846 - 332 pages
...as many right angles as the figure has sides, wanting four. For all the angles exterior and interior **are equal to twice as many right angles as the figure has sides** ; but the exterior are equal to four right angles ; therefore the interior are equal to twice as many... | |
| Euclides - 1846 - 272 pages
...There are as many triangles constructed as the figure has sides, and therefore all these angles will be **equal to twice as many right angles as the figure has sides** (by Prop. 32) ; from these take four right angles, for the angles at the point F (by Cor. 3 Prop. 13),... | |
| Education - 1847 - 508 pages
...SECTION I. — 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.** 2. Equal triangles, upon equal bases in the same straight line, and towards the same parts, are between... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...triangles is equal to two right angles (th. 15) ; therefore, the sum of the angles of all the triangles is **equal to twice as many right angles as the figure has sides.** But the sum of all the angles about the point F, which are so many of the angles of the triangles,... | |
| Anthony Nesbit - Plane trigonometry - 1847 - 426 pages
...accuracy of the previous work. Moreover, since the sum of all the interior angles of any polygon is **equal to twice as many right angles as the figure has sides,** lessened by four ; as the given figure has five sides, the sum of all its interior angles must be 2x5... | |
| |