 | George Roberts Perkins - Geometry - 1847 - 326 pages
...angles (Prop. i) ; •therefore the sum of all the interior angles, together with all the exterior angles, is equal to twice as many right angles as the polygon has sides ; but the sum of all the exterior angles is equal to four right angles (Prop. xxm) ; therefore the... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...as many 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 - 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,... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...as many right 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... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...as many right 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... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...twice as many right angles as the polygon has sidesBut 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 togetherFrom each... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...and as many 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 the interior angles is equal to twice as many right angles as the figure has... | |
 | Euclid - Geometry - 1853 - 176 pages
...figure be rectilinear. Idem • . CONSEQUENCES. The sum of all the internal {angles, together with four right angles, is equal to twice as many right angles as the figure has sides. {All its external angles are together equal to four right angles. L. Relative to... | |
 | Euclides - Geometry - 1853 - 334 pages
...proved. COB. 1. — All the interior angles of any polygon together with four right angles shall be equal to twice as many right angles as the polygon has sides. Let ABCDE be any polygon. Then all the angles at A, B, c, D, E together with four right angles shall... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...as many 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 the interior angles is equal to twice as many right angles as the figure has... | |
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Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon... 
