| Euclides - 1838 - 264 pages
...together 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.... | |
| Euclides - 1840 - 194 pages
...two right angles. All the angles, therefore, of the triangles into which the AE figure is divided, **are equal to twice as many right angles as the figure has sides.** But of these, the angles round the point F are equal to four right angles (Prop. 13, cor.) : if these... | |
| Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...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 - 1841 - 378 pages
...&c. 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 - 320 pages
...together 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 - 332 pages
...as 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... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...many right angles as the figure has sides, wanting four. For all the angles exterior and interior arc **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... | |
| Euclides - 1845 - 544 pages
...right angles, (i. 13.) therefore all the interior angles, together with all the exterior angles of the **figure, are equal to twice as many right angles as the figure has sides** ; but it has been proved by the foregoing corollary, that all the interior angles together with four... | |
| Nathan Scholfield - 1845 - 896 pages
...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 angles... | |
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