| 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... | |
| Charles Hutton - Mathematics - 1816
...K. And lastly measure the distance FA. To prove the work ; add all the inward angles A, u. c, Sec. **together ; for when the work is right, their sum will...wanting 4 right angles. But when there is an angle, as** », that bends inwards, and you measure the external angle, which which i* less than two right angles,... | |
| Euclides - Euclid's Elements - 1816 - 528 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.... | |
| Charles Hutton - Mathematics - 1818
...measure BC, and observe the angle c. Then measure the distance CD, and take the angle D. Then measure DE, **and take the angle E. Then measure EF, and take the...when there is an angle, as F, that bends inwards, and** yoa measure the external angle, which is less than two right angles, subtract it from 4 right angles,... | |
| John Playfair - Circle-squaring - 1819 - 333 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 - 317 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
...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,... | |
| Rev. John Allen - Geometry - 1822 - 494 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.... | |
| Euclid - 1822 - 179 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... | |
| Edward Riddle - Navigation - 1824 - 551 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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