 Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the sum of the exterior angles.  Elements of Geometry and Trigonometry - Page 43by Adrien Marie Legendre - 1852 - 432 pagesFull view - About this book
 | 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... | |
 | 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... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...But the angles at 0 are equal to four right angles (30 Cor.); .'. all the angles of the polygon are equal to twice as many right angles as the polygon has sides, diminished by four right angles. COR. 1 . Hence, all the angles of a pentagon = 6 right angles ; hexagon... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...two right angles (TI), 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 (T. IV.) ; therefore the sum... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...as many exterior as interior angles, and as many of each as there are sides of the polygon : ^ BtSL hence the sum of all the interior and exterior angles,...consequently, equal to the sum of the interior angles plus the sum of the exterior angles. Taking from each the sum of the interior angles, and there remains the... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...ABD, is equal to two right angles (Prop. II.) ; therefore the sum of all the interior and exterior angles, is equal to twice as many right angles as the polygon has sides ; that is, they are equal to all the interior angles of the polygon, together with four right angles.... | |
 | British and foreign school society - 1857 - 548 pages
...alternate sides, also produced, the angles formed by these lines, together with eight right angles, are equal to twice as many right angles as the polygon has sides. 4. If two chords intersect in a circle, the difference of their squares is equal to the difference... | |
 | Education - 1857 - 1266 pages
...alternate sides, also produced, the angles formed by these lines, together with eight right angles are equal to twice as many right angles as the polygon has sides. 4. If two chords intersect in a circle, the difference of their squares is equal to the difference... | |
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