| Euclid - Geometry - 1837 - 390 pages
...&c. Cor. 1. All the interior angles of any rectilineal figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...with four right angles. Therefore all the angles of the figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** Let the sum of the interior angles be denoted by I, the number of sides by n, and a right angle by... | |
| Euclides - 1838
...with four right angles. Therefore all the angles of the figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** COB. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Dionysius Lardner - Curves, Plane - 1840 - 314 pages
...being the supplement of its adjacent external angle, the internal and external angles, taken together, **will be equal to twice as many right angles as the figure has sides** ; but, from what has been already shown, the external angles alone are equal to four right angles.... | |
| Euclides - 1840
...right angles. Therefore, all the external, with all the internal angles of the figure, are together **equal to twice as many right angles as the figure has sides** ; that is to say, according to the preceding corollary, they are equal to all the internal angles of... | |
| Euclides - Geometry - 1841 - 351 pages
...QED COR. 1. All the interior angles of any rectilineal figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by... | |
| Euclides - 1842
...with four right angles. Therefore all the angles of the figure, together with four right angles, are **equal to twice as many right angles as the figure has sides.** COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| John Playfair - Euclid's Elements - 1842 - 317 pages
...many right angles as the figure has sides, wanting four. For all the angles exterior and interior are **equal to twice as many right angles as the figure has sides** ; but the exterior are equal to four right angles ; therefore the interior are equal to twice as many... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...two 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... | |
| Nathan Scholfield - 1845
...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 right angles. Hence, the interior angles plus four right angles, is equal to twice as many right... | |
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