| Charles Davies - Geometry - 1850 - 216 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
...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°=... | |
| Ralph Smyth, Sir Henry Edward Landor Thuillier - Surveying - 1851 - 718 pages
...Cor. Theor. V., (page 12,) it is stated and proved, " 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"** or in other words that — In any rectilineal figure, the sum of all the interior angles, is equal... | |
| 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
...end of the produced line to the end of the base. COB. 3. 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.** 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;... | |
| 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... | |
| 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
...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 four right...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.... | |
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