 | George Washington Hull - Geometry - 1807 - 408 pages
...polygon. The sum of the angles of each triangle equals two right angles. § 48 Hence the sum of the angles of a polygon is equal to two right angles taken as many times as the polygon has sides, less two. QED If R represents a right angle, and n the number of sides, then... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...angle B, and the other part DAE is equal to the angle C. i PROPOSITION XXVI. THEORKM. The sum of all the interior angles 'of a polygon, is equal to two...right angles, taken as many times less two, as the Jigure has sides. Let ABCDEFG be the proposed polygon. If from the vertex of anyone angle A, diagonals... | |
 | Adrien Marie Legendre - Geometry - 1837 - 376 pages
...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, as the polygon has sides (Prop. XXVI.) ; that is, equal to twice as many right angles as the figure has sides, wanting four... | |
 | Nathan Scholfield - 1845 - 894 pages
...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, as the polygon has sides (Prop. XXVIII.) ; that is, equal to twice as many right angles as the figure has sides, wanting four... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...angle B, and the other part DAE is equal to the angle C. PROPOSITION XXVI. THEOREM. The sum of all the interior angles of a polygon, is equal to two right angles, taken as many times less two, as the figure has sides. Let ABCDEFG be the pioposed polygon. If from the vertex of any one angle A, diagonals... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...XVII. The area of any spherical polygon is measured by the excess of the sum of all its angles over two right angles, taken as many times, less two, as the polygon has sides, multiplied by the tri-rectangular triangle. Let ABCDE be a spherical polygon; then will its area be... | |
 | James Fraser (bp. of Manchester.) - 1866 - 480 pages
...of carbon ami hydrogen. 10. Name the metals which, by oxydation, produce alkalies. Geometry. 1. The sum of the interior angles of a polygon is equal to two right angles taken as many times as the polygon has sides, less two. (Book I., Prop. 26.) 2. If two quantities be increased or diminished... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...upon the other, so as to coincide. PROPOSITION XXIX.— THEOREM. 99. The sum of all the angles of any polygon is equal to two right angles taken as many times less two as the polygon has sides. For, by drawing diagonals from any one vertex, the polygon can be divided into «s many triangles as... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...upon the other, so as to coincide. PROPOSITION XXIX.—THEOREM. 99. The sum of all the angles of any polygon is equal to two right angles taken as many times less two as the polygon has sides. For, by drawing diagonals from any one vertex, the polygon can be divided into as many triangles as... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...equal to the angle B, and the othei part DAE, is equal to the angle C. PROPOSITION XXVI. THEOREM. The sum of the interior angles of a polygon is equal to two right angles taken as many times as the polygon has sides, less two. Let AB CDE be any polygon : tnen will the sum of its interior angles... | |
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The sum of the interior angles of a polygon is equal to two right angles, taken as many times less two as the figure has sides. 
