 | John Playfair - 1829 - 210 síður
...(n—2) x 2r, that is, all the interior angles of any convex rectilineal figure are together equal to twice as many right angles as the figure has sides less two sides. " Es. PROPOSITION M. THEOREM. All the exterior angles of any convex rectilineal figure,... | |
 | Charles Reiner - 1837 - 254 síður
...vertex of these triangles = 4 rt. /.s; therefore, the sum 01 the interior angles of any polygon is equal to twice as many right angles as the figure has sides less [minus] four. M.—If the number of sides be three, four, five, six, seven, &c., what is the sum of... | |
 | Nicholas Tillinghast - 1844 - 108 síður
...polygons, having the same number of sides. The sum of all the angles in each figure is equal Fig. 88. to twice as many right angles as the figure has sides, less four right angles (BI A ( Prop. 13), and as the number of sides is the same in each figure, the sum of all... | |
 | Nicholas Tillinghast - 1844 - 108 síður
...regular polygons, having the same number of sides. The sum of all the angles in each figure is equal to twice as many right angles as the figure has sides, less four right angles (BI A ( Prop. 13), and as the number of sides is the same in each figure, the sum of all... | |
 | Nicholas Tillinghast - 1844 - 110 síður
...regular polygons, having the same number of sides. The sum of all the angles in each figure is equal to twice as many right angles as the figure has sides, less four right angles (BI Prop. 13), and as the nunrher of sides is the same in each figure, the sum of all... | |
 | sir Henry Yule - 1851 - 282 síður
...may be found from the property of such figures, that the sum of the angles of any polygon is equal to twice as many right angles as the figure has sides, less four. The following technical terms require explanation :— A Salient Angle is one directed outwards; a... | |
 | Adrien Marie Legendre - 1852 - 436 síður
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is equal to twice as many right angles as the figure has sides, less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral, is equal to two right angles... | |
 | Horatio Nelson Robinson - 1854 - 350 síður
...angles about the point P : take these away, and the sum of the interior angles of the figure is equal to twice as many right angles as the figure has sides less four right angles. QED From this principle we can deduce the following rule to find the sum of the interior... | |
 | Charles Davies - 1854 - 436 síður
...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 sides, less four right angles (P. 26). Hence, the interior angles plus four right angles, is equal to twice as many... | |
 | John Cresson Trautwine - 1856 - 134 síður
...together all the internal angles, marked by dotted segments of circles; and subtract their sum from twice as many right angles as the figure has sides, less four, for the angle db e. Example.—Let the angles denoted by the dotted segments at the different letters... | |
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add up to twice as many Right angles as the figure has sides, less four. 
