| John Playfair - 1829 - 186 Seiten
...(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
...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 - 96 Seiten
...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 - 96 Seiten
...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... | |
| Nicholas Tillinghast - 1844 - 96 Seiten
...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... | |
| Henry Yule (sir.) - 1851
...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... | |
| A. M. LEGENDRE - 1852
...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 - 335 Seiten
...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, Adrien Marie Legendre - 1854 - 432 Seiten
...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 - 72 Seiten
...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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