 | Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...external angles ; for, the sum of all the angles internal and external including the convex angles, is equal to twice as many right angles as the figure has sides, together with the excess of every convex angle above two right angles. But the sum of the internal... | |
 | Euclides - 1841 - 378 pages
...angle ABC, with its adjacent exterior angle ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior... | |
 | Euclides - 1842 - 320 pages
...angle ABC, with its adjacent exterior angle ABD, is equal (13. 1.) to two right angles ; therefore all the interior together with all the exterior angles...figure are equal to twice as many right angles as there are sides of the figure ; that is, by the foregoing corollary, they are equal to all the interior... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...interior angle ABC, with its adjacent exterior ABD, is equal (13. 1.) to two right angles ; therefore all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as there are sides of the figure ; that is, by the . foregoing corollary, they are -D equal to all th§... | |
 | 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 right... | |
 | 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... | |
 | Euclid, James Thomson - Geometry - 1845 - 380 pages
...angle ABC, and the adjacent exterior ABD, are together equal (I. 13) to two right angles ; therefore all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as there are sides of the figure ; that is, by the foregoing corollary, they are equal to all the interior... | |
 | Euclid - Geometry - 1845 - 218 pages
...interior angle ABC, with its adjacent exterior ABD, is equal* to two * 13. i. right angles; therefore all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as there are sides of the figure ; that is, by the foregoing corollary, they are equal to all the interior... | |
 | Euclides - 1845 - 544 pages
...angles as the figure has sides ; 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, made by producing the sides successively... | |
 | 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... | |
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... twice as many right angles as the figure has sides. 
