| Charles Hutton - Mathematics - 1812
...or intvard angles, as the figure has 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... | |
| 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.... | |
| William Nicholson - Natural history - 1819
...deduces from the same proposition, this theorem, viz. that the sum of the angles of every rectilinear **figure is equal to twice as many right angles as the figure** hath sides, excepting or subtracting four. INTERPOLATION, among critics, denotes a spurious passage,... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 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
...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 - 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.... | |
| 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... | |
| 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... | |
| |