 | Euclides - Geometry - 1841 - 378 pages
...angles. Wherefore, if a side of a triangle, &c. QED 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,... | |
 | Euclides - 1842 - 316 pages
...as there are triangles (Euc. 32. 1.); that is, as there are sides in the figure BCDEF; and because all the angles of the figure, together with four right angles, are likewise equal to twice as many right angles as there are sides in the figure (Euc. 1. Cor. 32. 1.);... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...angles as there are triangles (32. 1.) » that is, as there are sides in the figure BCDEF ; and because all the angles of the figure, together with four right angles, are likewise equal to twice as many right angles as there are sides in the figure(l cr. 32. 1 .^therefore... | |
 | Euclid - Geometry - 1845 - 218 pages
...the common vertex of the triangles ; that is, IT together * *5c°r. with four right angles. Therefore all the. angles of the figure, together with four...equal to 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.... | |
 | Euclides - 1845 - 546 pages
...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 four right...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 - 382 pages
...as there are triangles ; that is, as there are sides in the figure BCDEF ; and that (I. 32, cor. 1) all the angles of the figure, together with four right angles, are likewise equal to twice as many right angles as there are sides in the figure ; therefore all the angles... | |
 | 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...equal to 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,... | |
 | Euclides - 1846 - 272 pages
...internal, are equal to twice as many right angles, as there are sides of the figure ; but the internal with four right angles, are equal to twice as many right angles as there are sides of the figure (by Cor. 6) ; take away from both the internal angles, and the external... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...angles as there are triangles (32. 1.) ; that is, as there are sides in the figure BCDEF ; and because all the angles of the figure, together with four right angles, are likewise equal to twice as many right angles as there are sidesinthefigure(lcr. 32. 1. ^therefore all... | |
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F, which is the common vertex of the triangles ; that is, together with four right angles. 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. 
