| Charles Davies - 1850 - 238 sider
...triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is equal to twice as many right angles as the figure has sides. But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 3) ; and... | |
| Sir Henry Edward Landor Thuillier - 1851 - 826 sider
...the point 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...twice as many right angles as the figure has sides. Cor. 4. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| John William Colenso (bp. of Natal.) - 1851 - 148 sider
...required. 15. It appears, from Euc. I. 32, Cor. 1, that ' 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.' Hence if n be the number of sides of any rectilineal figure, we have the sum of its n angles +4 x 90°=... | |
| Janet Taylor - 1851 - 674 sider
...being the two angles made by cne line meeting another. The sum of all the outward and inward angles, is equal to twice as many right angles as the figure has sides; but the sum of all the inward angles is equal to twice as man1 right angles as the figure has sides,... | |
| sir Henry Yule - 1851 - 282 sider
...polygon may be found from the property of such figures, that the sum of the angles of any polygon is equal to twice as many right angles as the figure has sides, less four. The following technical terms require explanation : — A Salient Angle is one directed... | |
| Euclides - 1852 - 152 sider
...that is a , together with four right angles. . 2 Cor Therefore all the angles of the figure, XT - *• together with four right angles, are equal to twice as many right angles as the figure has sides. [The triangle furnishes an instance of this, for all its angles are together equal to two right angles;... | |
| Euclides - 1852 - 48 sider
...meeting in a point are equal to four right angles. 6. All the interior angles of any rectilineal figure, are equal to twice as many right angles as the figure has sides, less four right angles. 7. The exterior angles of a rectilineal figure are equal to four right angles.... | |
| Charles Davies - 1886 - 340 sider
...triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is equal to twice as many right angles as the figure has sides. But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 4) ; and... | |
| Adrien Marie Legendre - 1852 - 436 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... | |
| Euclides - 1853 - 176 sider
...which is the common vertex of the triangles : that is (i. 15, cor. 2), together with four right angles. Therefore all the angles of the figure, together with...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.... | |
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