| Charles Davies - Geometry - 1850 - 238 pages
...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 - Surveying - 1851 - 826 pages
...proved, " that 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"** or in other words that — In any rectilineal figure, the sum of all the interior angles, is equal... | |
| John William Colenso (bp. of Natal.) - 1851 - 382 pages
...Cor. 1, that ' 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.'** Hence if и be the number of sides of any rectilineal figure, we have the sum of its n angles + 4 x... | |
| Janet Taylor - Nautical astronomy - 1851 - 674 pages
...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 pages
...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 - 48 pages
...line. 5. The angles made by any number of lines meeting in a point are equal to four right angles. 6. **All the interior angles of any rectilineal figure,...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.... | |
| Euclides - 1852 - 152 pages
...Con. 1. All the interior angles of any rectilinear figure, BOOK I. together with four right angles, **are equal to twice as many right angles as the figure has sides.** For any rectilinear figure ABODE can be divided into as many triangles as the figure has sides, by... | |
| Charles Davies - Geometry - 1886 - 340 pages
...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 - Geometry - 1852 - 436 pages
...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... | |
| Euclid - Geometry - 1853 - 176 pages
...There are formed as many triangles as the figure has sides, therefore all their angles taken together **are equal to twice as many right angles as the figure has sides** (a) ; but the angles at the point F are together equal to four right angles (4), therefore all the... | |
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