| Charles Hutton - Mathematics - 1811 - 442 pages
...work ; add all the inward angles A, B, c, &C, together ; for when the work is right, their sum will be **equal to twice as many right angles as the figure has sides,** wanting 4 right angles. But when there is an angle, as F, that bends inwards, and you measure the external... | |
| Charles Hutton - Mathematics - 1812 - 620 pages
...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 - 610 pages
...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 - 588 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 - Circle-squaring - 1819 - 350 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 - 616 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... | |
| Adrien Marie Legendre - Geometry - 1822 - 394 pages
...equal to the angle B, and the other part DAE is equal to the angle C. PROPOSITION XXVIII. THEOREM. **The sum of all the interior angles of a polygon is equal to** as many times two right angles, as there are units in the number of sides diminished by two. and, in... | |
| Euclid - 1822 - 222 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... | |
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