| Charles Hutton - Mathematics - 1812
...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... | |
| Charles Hutton - Mathematics - 1816
...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... | |
| Euclides - 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.... | |
| John Playfair - Euclid's Elements - 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... | |
| Charles Hutton - Mathematics - 1822 - 618 pages
...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,... | |
| 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... | |
| Rev. John Allen - Astronomy - 1822 - 516 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.... | |
| Edward Riddle - Nautical astronomy - 1824 - 572 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... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...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 - 266 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. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and a side... | |
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