| Mathematics - 1801 - 426 pages
...;• add all the inward angles A, B, C, &c. together, and when the work is right, their sum will be **equal to twice as many right angles, as the figure has sides,** wanting four right angles. And when there is an angle, as F, that bends inward, and you measure the... | |
| Robert Simson - Trigonometry - 1804
...Q^ED . CoR. i. 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** fides. For any reCtilineal figure ABCDE can be divided into as many triangles as the figure has fides,... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...the figure to leach of its angles. And, by the preceding proposition, a 2 Cor. 15.1. Book I. all the **angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure ; and the same angles are equal to the... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...gether 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.... | |
| Charles Hutton - Mathematics - 1807
...work ; add all the inward angles A, B, c, &c, together ; for when the work is right, their sum will ba **equal to twice as many right angles as the figure has sides,** wanting 4 right angles. But when there is an angle, as F, that bends inwards, and you measure the external... | |
| Sir John Leslie - Geometry, Analytic - 1809 - 493 pages
...AED, is equal to two right angles. All the exterior angles therefore, added to the interior angles, **are equal to twice as many right angles as the figure has sides.** Consequently the exterior angles are equal to the four right angles which, by the last Proposition,... | |
| Sir John Leslie - Geometry, Analytic - 1809 - 493 pages
...is equal to two right angles. All the exterior angles therefore, added to the interior angles, ftre **equal to twice as many right angles as the figure has sides.** Consequently the exterior angles are equal to the four right angles which, by the last Proposition,... | |
| Euclid - Geometry - 1810 - 518 pages
...figure to each of its angles. And, by the preceding Book I a 2 Cor. 15.1. b 13. 1. proposition, all the **angles of these triangles are equal to twice •* as many right angles as** there are triangles, that is, as there are sides of the figure; and the same angles are equal to the... | |
| Charles Hutton - Mathematics - 1811
...triangles, is equal to two right angles (th. 17); therefore 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, which are so many many of the angles of the triangles,... | |
| Euclides - Euclid's Elements - 1816 - 528 pages
...within the figure to Boon I. each of its angles. And, by the preceding proposition, all v-""v~*"' the **angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure : and the same angles are equal to the... | |
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