 | Thomas Leybourn - Mathematics - 1814 - 420 pages
...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 Stanislas de Malortie de Martemont - 1820 - 560 pages
...no material error has •been committed in measuring the angles, is to ascertain if tile sum of all the interior angles of the polygon is equal to twice as many right angles, wanting four, as the polygon has sides; but, how are these angles to be known, since they have not... | |
 | C. Malortie de Martemont - Surveying - 1825 - 262 pages
...that no material error has been committed in measuring the angles, is to ascertain if the sum of all the interior angles of the polygon is equal to twice as many right angles, wanting four, as the polygon has sides; but, how are these angles to be known, since they have not... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 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... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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 pages
...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 - 288 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 - 368 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... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...exterior angles is equal to four right angles (Prop. xxm) ; therefore the sum of all the interior angles is equal to twice as many right angles as the polygon has sides, wanting four right angles. Cor. 1. Jn any triangle, the sum of all the three angles is equal to two... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...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,... | |
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The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles. 
