| 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... | |
| |