| Euclides - 1852 - 152 pages
...Because every interior angle ABC, with its adjacent exterior ABD, is equaP to two right angles; therefore **all the interior together with all the exterior angles...figure, are equal to twice as many right angles as** there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior... | |
| Euclides - 1852 - 48 pages
...lines meeting in a point are equal to four right angles. 6. All the interior angles of any rectilineal **figure, are equal to twice as many right angles as the figure has sides,** less four right angles. 7. The exterior angles of a rectilineal figure are equal to four right angles.... | |
| 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 since... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...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 - Geometry - 1853 - 176 pages
...interior angle ab С, with its adjacent exterior ab d, is equal (i. 13) to two right angles ; therefore **.all the interior, together with all the exterior...figure, are equal to twice as many right angles as** there are sides of the figure ; that is, by the foregoing corollary, they are equal to all the interior... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...interior angie ABC, with its adjacent exterior ABD, is equal (13. i.) to two right angles; therefore **all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as** there are sides of the figure ; that is, by the foregoing corollary, they are equal to all the interior... | |
| Euclides - 1853 - 146 pages
...interior angle ABC, with its adjacent exterior ABD, is equal (I. 13.) to two right angles; therefore **all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as** there are sides of the figure ; that is, by the foregoing corollary, they are equal to all the interior... | |
| Euclid - Geometry - 1853 - 176 pages
...There are formed as many triangles as the figure has sides, therefore all their angles taken together **are equal to twice as many right angles as the figure has sides** (a) ; but the angles at the point F are together equal to four right angles (4), therefore all the... | |
| Āryabhaṭa - 1878 - 100 pages
...been proved by the foregoing corollary, that all the interior angles together with four right angles **are equal to twice as many right angles as the figure has** sidesTherefore all the interior angles together with all the exterior angles are equal (Ax. 1) to all... | |
| Euclides - 1879 - 146 pages
...&c. QED Cor. 1. 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.** For any figure ABCDE can be divided into as many As as it has sides, by drawing st. lines from a pt.... | |
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