| Nathan Scholfield - 1845 - 894 pages
...two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVIII.) ; that is, **equal to twice as many right angles as the figure has sides, wanting four right angles.** Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon... | |
| Euclides - 1845 - 546 pages
...right angles, (i. 13.) therefore all the interior angles, together with all the exterior angles of the **figure, are equal to twice as many right angles as the figure has sides** ; but it has been proved by the foregoing corollary, that all the interior angles together with four... | |
| Scottish school-book assoc - 1845 - 444 pages
...figure has sides ; but ail the exterior Ls are = four r'Ls, (Prop. 21) ; .-. all the interior are = **twice as many right angles as the figure has sides, wanting four right angles.** QED Cor. 1. All the interior angles of any quadrilateral figure are together equal to four right angles.... | |
| 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, James Thomson - Geometry - 1845 - 382 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... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 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... | |
| 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... | |
| 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... | |
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