| Great Britain. Committee on Education - 1850 - 914 pages
...thickness. GEOMETRY AND TRIGONOMETRY. (One Question is only to be answered in each Section.) Section I. **1. All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides.** 2. If the square described upon one side of a triangle be equal to the sum of the squares described... | |
| 1850 - 524 pages
...revelation could supersede the reasoning of the proposition that all the interior angles of any rectilinear **figure, together with four right angles, are equal...twice as many right angles as the figure has sides** : and the dictum is equally true, too, in moral science — only in any particular case to dogmatize... | |
| Charles Davies - Geometry - 1850 - 236 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... | |
| Charles Davies - Geometry - 1850 - 218 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... | |
| John William Colenso (bp. of Natal.) - 1851 - 382 pages
...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... | |
| Education - 1851 - 502 pages
...three pickmen to every two shovellers, and to each workman 2s. 6d. per day. EUCLID. SECTION I.—1. **All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides.** SECTION II. — I. If a straight line drawn through the centre of a circle cuts another at right angles... | |
| Sir Henry Edward Landor Thuillier - Surveying - 1851 - 828 pages
...passing through the other end. In the 3rd Cor. Theor. V., (page 12,) it is stated and proved, " that **all the interior angles of any rectilineal figure,...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... | |
| Janet Taylor - Nautical astronomy - 1851 - 702 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
...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.... | |
| |