| 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,... | |
| Charles Hutton - 1812 - 620 σελίδες
...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 - 588 σελίδες
...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 - 354 σελίδες
...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... | |
| John Playfair - 1819 - 350 σελίδες
...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 - 1822 - 516 σελίδες
...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 - 222 σελίδες
...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 - 1822 - 616 σελίδες
...; 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 - 1822 - 508 σελίδες
...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 - 1824 - 572 σελίδες
...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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