| 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,... | |
| Charles Hutton - Mathematics - 1812
...intvard angles, as the figure has sides : therefore the sum of all the inward and outward angles, is **equal to twice as many right angles as the figure has sides. But** the sum of all the inward angles, with four right angles, is equal to twice as many right angles as... | |
| Euclides - 1816 - 528 pages
...adjacent esters, 1. rior ABD, is equal b to two right angles; therefore all the interior together with aH **the exterior angles of the figure, are equal to twice as many right angles as** there are sides |J" of the figure; that is, by the foregoing corollary, they are equal to all the interior... | |
| John Playfair - 1819 - 317 pages
...interior angle ABC, with its adjacent exterior ABD, is equal (13. 1.) 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 fi- _ gure ; that is, by the fore- D going corollary, they are equal to all... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...many right angles as the figure has sides, wanting four. F°r. all the angles exterior and interior **are equal to twice as many right angles as the figure has sides ; but** the exterior are equal to four right angles ; therefore the interior are equal to twice as many right... | |
| Rev. John Allen - Astronomy - 1822 - 516 pages
...two right angles [13. 1} ; therefore all the exterior and interior angles of the figure are together **equal to twice as many right angles as the figure has sides ; but** the interior angles are equal to twice as many right angles, except four, as the figure has sides [by... | |
| Euclid - 1822 - 179 pages
...are formed as many triangles as the figure has sides, and, therefore, all their angles taken together **are equal to twice as many right angles as the figure has sides** ( 1 ), but the angles at the point F are equal to four right <z) Cor. 3. angles, (2), and therefore... | |
| Charles Hutton - Mathematics - 1822 - 618 pages
...; add all the inward angles A, n, c, &.c. together ; for when the work is right, their sum will be **equal to twice as many right angles as the figure has sides,** wanting 4 right angles. But when there is an angle, a* r, (hat bends inward*, and yon measure the external... | |
| Rev. John Allen - Astronomy - 1822 - 508 pages
...to four right angles [Cor. 2. 15. 1] ; therefore the remaining angles, which constitute the interior **angles of the figure, are equal to twice as many right angles,** except four, as the figure has sides. V For every exterior, as ABD and its adjacent interior ABC, are... | |
| Edward Riddle - Nautical astronomy - 1824 - 572 pages
...twice as many right angles as the figure has sides ; or the interior angles of the figure, themselves, **are equal to twice as many right angles as the figure has sides,** wanting four right angles. QED Cor. 1. All the interior angles of any quadrilateral figure are together... | |
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