| Ralph Smyth, Sir Henry Edward Landor Thuillier - Surveying - 1851 - 828 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
...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... | |
| John Cresson Trautwine - Railroads - 1851 - 92 pages
...together all the internal angles, marked by dotted segments of circles; and subtract their sum from **twice as many right angles as the figure has sides, less four,** for the angle db e. Example. — Let the angles denoted by the dotted segments at the different letters... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...are 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 right angles multiplied... | |
| Charles Davies - Geometry - 1886 - 334 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 - 1852
...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... | |
| Euclides - 1852
...base. COB. 3. 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.** COB. 4. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclid - Geometry - 1853 - 136 pages
...rectilinear. Idem • . CONSEQUENCES. The sum of all the internal {angles, together with four right angles, **is equal to twice as many right angles as the figure has sides.** {All its external angles are together equal to four right angles. L. Relative to Circles generally.... | |
| Euclides - Geometry - 1853 - 176 pages
...with four right angles. Therefore all the angles of the figure, together with four right angles, are **equal to 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.... | |
| Euclides - 1853 - 146 pages
...with four right angles. Therefore all the angles of the figure, together with four right angles, are **equal to 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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