 | Charles Hutton - Mathematics - 1811 - 494 pages
...AD, and plant the instrument at B, and there in the same manner observe the angle A. Then measure Ec, and observe the angle c. Then measure the distance...when there is an angle, as f, that bends inwards, and you measure the external angle, •which. . is less than two right angles, subtract it from 4 right... | |
 | Charles Hutton - Mathematics - 1811 - 442 pages
...EC, and observe the angle c. Then measure the distance CD, and take the angle D. Then measure i,K, and take the angle E. Then measure EF, and take the...when there is an angle, as F, that bends inwards, and you measure the external angle, • \vhich is less than two right angles, subtract it from 4 right... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...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 pages
...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.... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...all the angles of the figure, together with four right angles, that is, the angles of the figure are equal to twice as many right angles as the figure has sides, wanting four. COR. 2. All the exterior angles of any rectilineal figure are tegether equal to four right angles.... | |
 | John Playfair - 1819 - 354 pages
...many right angles as the figure has sides, wanting four. For all the angles exterior and interior are equal to twice as many right an,gles as the figure has sides ; but the exterior are equal to four right angles ; therefore the interior are equal to twice as many... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...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 of the angles of the triangles,... | |
 | Euclid - 1822 - 222 pages
...Cor. 6. All the internal angles of any rectilineal figure, ABCDE, together with four right angles, are equal to twice as many right angles as the figure has sides. Take any point F within the figure and draw the right lines FA, FB, FC, FD, and FE. There are formed... | |
 | Rev. John Allen - Astronomy - 1822 - 516 pages
...FC, FD, FE ; there are formed as many triangles as the figure has sides, all the angles of which are equal to twice as many right angles as the figure has sides [by this prop.] ; but of these all the angles about the point F are equal to four right angles [Ctor.... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...angles as the figure has sides. But all the interior angles, and four right angles, are also together equal to twice as many right angles as the figure has sides, (Theo. 25.) Hence the interior and the exterior angles of the figure are, together, equal to the interior... | |
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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. 
