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" F, which is the common vertex of the triangles ; that is, together 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. "
Euclid's Elements of geometry, books i. ii. iii. iv - Side 32
av Euclides - 1862
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...the same angles are equal to the angles of the figure, together with the angles at the point F, which 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
..."2 Cor. is the common vertex of the triangles : that is a, together is. 1. with four right angles. Therefore all the angles of the figure, together with...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...angles as there are triangles (32. 1.) ; that is, as there are sides in the figure BCDEF ; and because all the angles of the figure, together with four right angles, are likewise equal to twice as many right angles as there are sides in the figure (cor. 1. 32. 1.) ; therefore...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 sider
...angles. Wherefore if a side of a triangle, &c. QED COK. 1. All the interior aigles of any rectilineal figure, together with four right angles, are equal to twice as many right E' angles as the figure has sides. For any rectilineal figure ABCDE can be divided into as many triangles...
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The First Six Books with Notes

Euclid - 1822 - 179 sider
...therefore equal to B AE and EAC. 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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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Euclid, Rev. John Allen - 1822 - 494 sider
...as many right angles, except four, as the figure has sides ; and all tbe angles of these triangles are equal to twice as many right angles as the figure has sides (32. 1 /CM.), therefore the angles of these triangles which are at their common vertex A, being those...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Euclid, Rev. John Allen - 1822 - 494 sider
...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...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 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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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 551 sider
...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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...is the common vertex of the triangles : that is, (2. Cor. 15. 1 .) together with four right angles. Therefore all the angles of the figure, together with...four right angles, are equal to twice as many right angit's as the figure has sides. Cor. 2. All the exterior angles of any rectilineal figure are together...
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