 | John Dougall - 1810 - 554 pages
...each is one third part of two right angles, or two thirds of one right angle. PROP. VIII. fig. 21. The sum of all the interior angles of a polygon is equal to twice as many right angles, wanting four, as the figure has sides. Let the figure ABCDEF, be a polygon of six sides, that is, a... | |
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...equal to the angle B, and the other part DAE is equal to the angle C. PROPOSITION XXVIII. THEOREM. The sum of all the interior angles of a polygon is equal to as many times two right angles, as there are units in the number of sides diminished by two. and, in... | |
 | Adrien Marie Legendre - 1825 - 570 pages
...part BAE is equal to the angk B, and the other part DAE is equal to the angle C (67). THEOREM. 79. The sum of all the interior angles of a polygon is equal to as many times two right angles as there are units in the number of sides minus two. Demonstration.... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...part BAE is equal to the angle B, and the other part DAE is equal to the angle C (67). THEOREM. 79. The sum of all the interior angles of a polygon is equal to as 4 many times two right angles as there are units in the number of sides minus two. Demonstration.... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...to the angle Z?, and the other part DAE is equal to the angle C (67). . J c/ .\ THEOREM. . X ^ 79. The sum of all the interior angles of a polygon is equal to as many times two right angles as there are units in the number of sides minus two. Demonstration.... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...equal to the 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... | |
 | Benjamin Peirce - Geometry - 1837 - 216 pages
...exterior angle BCD is equal to the sum of the two opposite interior angles A and C. :':71. Theorem. The sum of all the interior angles of a polygon is equal to as many times two right angles as it has sides minus two. • . Demonstration. Let ABODE, &-c. (fig.... | |
 | Adrien Marie Legendre - Geometry - 1838 - 382 pages
...equal to the angle B, and the other part DAE is equal to the angle C. PROPOSITION XXVI. THEOREM. Tile 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 proposed... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...C ; for, by adding to each the angle ABC, the sums are each equal to two right angles. THEOREM. 64. The sum of all the interior angles of a polygon is equal to as many times two right angles as there are units in the number of sides minus two. Fig. 42. Demonstration.... | |
 | Charles Waterhouse - Arithmetic - 1842 - 180 pages
...sum of the three angles is equal to two right angles ; in a square, there are four right angles, 5. The sum of all the interior angles of a polygon, is equal to as many times two right angles as there are units in the number of sides less two. NOTE. — A re-entering... | |
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THEOREM. The sum of all the interior angles of a polygon, is equal to twice as many right angles, less four, as the figure has sides. 
