 | Charles Hutton - 1816 - 610 sider
...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... | |
 | Charles Hutton - 1818 - 646 sider
...line meeting another (th. 6). And there being as many outward, or inward angles, as the figure bas sides : therefore the sum of all the inward and outward...figure has sides (th. 19). Therefore the sum of all the iniv.nl and all the outward angles, is equal to the sum of all the inward angles and four right angles... | |
 | John Playfair - 1819 - 350 sider
...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... | |
 | Charles Hutton - 1822 - 616 sider
...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... | |
 | Rev. John Allen - 1822 - 516 sider
...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 - 222 sider
...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 - 1824 - 572 sider
...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... | |
 | Peter Nicholson - 1825 - 1046 sider
...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... | |
 | George Lees - 1826 - 276 sider
...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... | |
 | John Radford Young - 1827 - 246 sider
...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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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. 
