| Charles Hutton - Mathematics - 1811
...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 as the** figure has sides (th. 19). Therefore the sum of all the inward and all the outward angles, is equal... | |
| Charles Hutton, Robert Adrain - Mathematics - 1812
...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 as the** figure has sides (th. 19). Therefore the sum of all the invv.rcl and all the outward angles, is equal... | |
| Thomas Leybourn - Mathematics - 1814
...Hence, by adopting the notation in the question, we have But the sum of the angles of any polygon being **equal to twice as many right angles as the polygon has sides,** less four; the sum of all the angles of the polygon will be equal to an even number of right angles,... | |
| Charles Hutton - Mathematics - 1822
...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 as the** figure has sides (th. 19). Therefore the sum of all the inward and all the outward angles, is equal... | |
| John Radford Young - Euclid's Elements - 1827 - 208 pages
...to say, the sum of the angles of the polygon, together with those about the point within . it, are **equal to twice as many right angles as the polygon has sides** ; but those angles which are' about the point, amount to four right angles, (Prop. VI. Cor. 2.) deducting... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...sides) are together equal to four right angles ; and the sum of its interior angles, together with **four right angles, is equal to twice as many right angles as the** figure has sides . . • 15 (¿•) The area of a rectilineal figure may be obtained by dividing it... | |
| Mathematics - 1835
...sides) are together equal to four right angles ; and the sum of its interior angles, together with **four right angles, is equal to twice as many right angles as the** figure has sides . . . 15 (c) The area of a rectilineal figure may be obtained by dividing it into... | |
| Nathan Scholfield - 1845
...as many of each as there arc sides of the polygon ; hence, the sum of all the interior and exterior **angles is equal to twice as many right angles as the polygon has sides.** Again, the sum of all the interior angles is equal to two right angles, taken as many times, less two,... | |
| William Scott - Measurement - 1845 - 237 pages
...end ought to coincide. Also, the sum of all the angles, together with four right angles, ought to be **equal to twice as many right angles as the polygon has sides** (Eue. i. 32. cor.). To find the angle contained by two straight lines conceived to be drawn from a... | |
| Sir J. Butler Williams - Geodesy - 1846 - 330 pages
...of all the interior angles of the polygon formed by joining the stations by straight lines will be **equal to twice as many right angles as the polygon has sides,** wanting 4 right angles (Euc. Cor. 32, I.) Thus, if the figure have 3 sides, the sum of the interior... | |
| |