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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. "
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Page 66
by Charles Hutton - 1811
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

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...
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A Course of Mathematics in Two Volumes for the Use of Academies ..., Volume 1

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,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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....
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A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

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,...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

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....
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The First Six Books with Notes

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...
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A treatise on navigation, and nautical astronomy

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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