 | Euclides - 1845 - 546 pages
...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 - Geometry - 1845 - 382 pages
...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 - 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... | |
 | Euclides - 1846 - 292 pages
...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 - Geometry - 1846 - 168 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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 - 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
...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 - School buildings - 1847 - 606 pages
...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 - Geometry - 1847 - 248 pages
...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... | |
| |
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. 
