| A. M. LEGENDRE - 1852
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is **equal to twice as many right angles as the figure has sides,** less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral, is equal to two... | |
| Euclides - 1853 - 147 sider
...(i. 15, cor. 2), 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.** Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right ,ingles.... | |
| Royal Military Academy, Woolwich - 1853
...is, (2 Cor. 15. i.) 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.** COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclid - 1853 - 136 sider
...&c., equal parts. COROLLARY 7. All the internal angles of any rectilineal figure (ABCDE), together **with four right angles, are equal to twice as many right angles as the figure has sides.** DEMONSTRATION. Take any point F within the figure, and draw the straight lines FA, FB, FC, FD, FE.... | |
| Euclides - 1853
...(I. 15. Cor. 2.) 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.** COK. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclides - 1853
...angles of the polygon together with four right angles. But all the angles of the polygon GHKLM together **with four right angles are equal to twice as many right angles as the** polygon has sides (i. 32. Cor. i), that is, as there are plane angles constituting the solid angle... | |
| Popular educator - 1854
...are equal to all the angles of the figure (Conit.) ; 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** (Ax. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the exterior angles of any rectilineal... | |
| William Somerville Orr - 1854
...Сов. 1. — All the interior angles of any rectilineal figure, together with four right angles, are = **twice as many right angles as the figure has sides. For, any rectilineal figure** ABODE can be divided into as many triangles as the figure has sides, by drawing straight lines from... | |
| Charles Davies - 1854 - 432 sider
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is **equal to twice as many right angles as the figure has sides,** less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral is equal to two right... | |
| E.W. Beans - 1854
...taken. If the entire survey has been made as above directed, the sum of all the internal angles will be **equal to twice as many right angles as the figure has sides,** diminished by four right angles. If this sum, as in practice will be likely to be the case, should... | |
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