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" Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. "
The elements of geometry, in eight books; or, First step in applied logic - Pagina 202
door L J V. Gerard - 1874
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 516 pagina’s
...together equal to 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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The First Six Books with Notes

Euclid - 1822 - 222 pagina’s
...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 Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 pagina’s
...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 - 572 pagina’s
...least, two acute angles. THEOREM XXV. All the inward angles of any rectilineal figure А В С DE, are together equal to twice as many right angles as the figure has sides, wanting four right angles. For from any point, F, within the figure, let lines be drawn to its angular...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pagina’s
...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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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pagina’s
...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. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and a side...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 246 pagina’s
...the angles in each triangle amounts to two right angles, therefore the angles of all the triangles are together equal to twice as many right angles as the figure has sides, that is to say, the sum of the angles of the polygon, together with those about the point within it,...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 228 pagina’s
...angles, (Prop. VI. Cor. 2.) deducting these therefore, and there remains the angles of the polygon equal to twice as many right angles as the figure has sides, all but four right angles. Cor. 1. The angles of a quadrilateral are together equal to four right angles,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pagina’s
...zi. COR. 1. 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. For any rectilineal figure ABCDE, can be divided into as many triangles as the figure has sides, by...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 542 pagina’s
...right angles as the figure has sides ; but the internal angles, together with four right angles, are equal to twice as many right angles as the figure has sides (134). Take from both, the internal angles and the external remain equal to four right angles. %* This...
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