| Euclides - 1845
...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...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 - 1845 - 352 páginas
...equal to two right angles. Wherefore, if a side, &c. Cor. 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal...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... | |
| 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 - 1846
...with the angles at the point F, that is, together with four right angles (1. 15, Cor. 2) : "Wherefore **all the angles of the figure, together with four right...twice as many right angles as the figure has sides.** COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Dennis M'Curdy - 1846 - 138 páginas
...ax. 2 ! (4) p. 27; (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 - 1846 - 317 páginas
...as the figure has sides ; but the exterior are equal to four right angles ; therefore the interior **are equal to twice as many right angles as the figure has sides,** wanting four. PROP. II. Two straight lines, which make with a third line the interior angles on the... | |
| 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),... | |
| 1847
...paid off? OEOMETBY AND TRIGOSO1IETBY. SECTION I. — 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal...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... | |
| Great Britain. Committee on Education - 1847
...debt be paid off? GEOMETRY AND TRIGONOMETRY. 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** hag sides. 2. Equal triangles, upon equal bases in the same straight line, and towards the same parts,... | |
| Charles William Hackley - 1847 - 103 páginas
...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... | |
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