| John William Colenso (bp. of Natal.) - 1851
...such cases, where very great accuracy is not required. 16. It appears, from Eue. i. 32, Cor. 1, that ' **all the interior angles of any rectilineal figure,...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 - 621 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
...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
...produced be equal to the base, and joining the end of the produced line to the end of the base. COB. 3. **All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides.** COB. 4. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclides - 1852
...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;... | |
| Education - 1852
...EUCLID. SECTION I. — 1. The angles at the base of an isosceles triangle are equal to each other. 2. **All the interior angles of any rectilineal figure,...together with four right angles, are equal to twice** us many right angles as the figure has sides. 3. To a given straight line to apply a parallelogram... | |
| 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... | |
| Charles Davies - Geometry - 1886 - 324 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... | |
| Euclides - Geometry - 1853 - 147 pages
...ba, ba С, a С b, are equal to two right angles. Wherefore, if a side of a triangle, &c. QED COR. 1. **All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides.** For any rectilineal figure abСde, can be divided into as many triangles as the figure has sides, by... | |
| Euclides - 1853
...BAC, ACB, are equal to two right angles. Wherefore, if a side of any triangle, &c. QED COE. 1. — **All the interior angles of any rectilineal figure,...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... | |
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