| Charles Davies - Geometry - 1886 - 340 pages
...twice as many right angles as the polygon has sidesBut the sum of all the interior angles together with four right angles, is equal to twice as many right angles as the polygon has sides (Th- xxi) : that is, equal to the sum of all the inward and outward angles taken... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...right angles as the figure has sides, less four right angles (P. 26). Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.... | |
| Euclides - 1852 - 152 pages
...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 - 48 pages
...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 - 176 pages
...If a figure be 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 - 334 pages
...similar. For if there be two regular polygons of the same number of sides, all the angles of each together with four right angles is equal to twice as many right angles as the polygon has sides ; and things that are equal to the same thing are equal to one another (Ax. i) :... | |
| 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.... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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. COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| 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.... | |
| Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...right angles. SCHOLIUM. In any figure bounded by right lines and angles, the sum of all the interior angles is equal to twice as many right angles as the figure has sides, less four right angles. Let ABCDE be any figure; then the sum of all its inward angles, A-\B-\-C-\-D-\-E,... | |
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