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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. "
Land and marine surveying - Página 125
por William Davis Haskoll - 1868 - 184 páginas
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 páginas
...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 the figure has sides (th. 19). Therefore the sum of all the invv.rcl and all the outward angles, is equal to the sum of...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volumen1

Charles Hutton - 1816 - 610 páginas
...former sum. Hence it follows thai the sum of .ill the inward angles of the polygon alone, A + B+C+D + E, is equal to twice as many right angles as the figure has skies, wanting the said four right angles, q. ED THEOREM XX. WHEN every Side of any Figure is produced...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 páginas
...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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The Mathematical Questions Proposed in the Ladies' Diary: And ..., Volumen4

Thomas Leybourn - 1817 - 454 páginas
...number of sides. The same by Mr. WD Suookc, WoollJridge, near IVareham. • In any rectilineal figure, the sum of all the interior angles is equal to twice as many right angles, wanting 4, as the figure has sides : therefore let x = the number of sides ; then the sum of all the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 páginas
...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...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 páginas
...outward, or inward angles, as the figure IMS 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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The First Six Books with Notes

Euclid - 1822 - 222 páginas
...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 ...

Rev. John Allen - 1822 - 516 páginas
...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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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 572 páginas
...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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 páginas
...I). Cor. 1 . All the interior angles of any rectilínea] figure, together with four right angles, are equal to twice as many right angles as the figure has sides. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by...
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