 | Thomas Leybourn - 1814 - 420 sider
...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,... | |
 | John Radford Young - 1827 - 228 sider
...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... | |
 | Adrien Marie Legendre - 1836 - 394 sider
...figure has sides, wanting four right angles. Hence, the interior angles plus four right .. -i angles, is equal to twice as many right angles as the polygon has aides, and consequently, equal to the sum of the interior angles plus the exterior angles. Taking from... | |
 | Nathan Scholfield - 1845 - 894 sider
...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 - 1845 - 288 sider
...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 - 1846 - 368 sider
...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 angles... | |
 | Charles Davies - 1849 - 372 sider
...of each as there are 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 tho interior angles is equal to two right angles, taken as many times, less two,... | |
 | Elias Loomis - 1849 - 252 sider
...is equal to two right angles (Prop. XXVII.); therefore the sum of the angles of all the triangles, is equal to twice as many right angles as the polygon has sides. But the same angles are equal to the angles of the polygon, together with the angles at the point F,... | |
 | George Roberts Perkins - 1850 - 332 sider
...divided by producing either of the sides CD or FD. This polygon is said to have a re-entering angle at D. PROPOSITION XXIV. THEOREM. In any convex polygon,...angles, taken together, is equal to twice as many right-angles as the polygon has sides, wanting four right-angles. Let ABCDFG be a convex polygon. Conceive... | |
 | Charles Davies - 1850 - 238 sider
...angles as the polygon has sides. But the sum of all the interior angles together with four right angles, is equal to twice as many right angles as the polygon has sides (Th. xxi) : that is, equal to the sum of all the inward and outward angles taken together. From each... | |
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The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two. 
