 | 1801 - 658 σελίδες
...;• 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 - 1804 - 530 σελίδες
...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 - 1806 - 320 σελίδες
...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... | |
 | Robert Simson - 1806 - 546 σελίδες
...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 - 1807 - 464 σελίδες
...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 - 1809 - 542 σελίδες
...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 - 1809 - 522 σελίδες
...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 - 1810 - 554 σελίδες
...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 - 1811 - 406 σελίδες
...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 - 1816 - 588 σελίδες
...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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... figure, together with four right angles, are equal to twice as many right angles as the figure has be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles. 
