| Euclid - 1845 - 199 pagina’s
...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... | |
| Nathan Scholfield - 1845
...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... | |
| Euclides - 1845
...angles. But 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,** that is, if we agree to assume IT to designate two right angles, .-. nS + 27T = ntr, and «6 = »ir... | |
| Euclides - 1846
...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),... | |
| Dennis M'Curdy - 1846 - 138 pagina’s
...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
...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... | |
| John Playfair - 1846 - 317 pagina’s
...BAC, ACB are equal to two right angles. COR. 1. All the interior angles of any rectilineal figure are **equal to twice as many right angles as the figure has sides,** wanting four right angles. For any rectilineal figure ABCDE can be divided into as many triangles as... | |
| Charles William Hackley - 1847 - 103 pagina’s
...Hence it follows that the sum of all the inward angles of the polygon alone, A + B -f- C + D + E, is **equal to twice as many right angles as the figure has sides,** wanting the said four right angles. QED Corol. 1. In any quadrangle, the sum of all the four inward... | |
| 1847
...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... | |
| Anthony Nesbit - 1847 - 426 pagina’s
...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... | |
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