| Euclides - 1838 - 264 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.** COB. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| 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 - 1840 - 194 pages
...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 - 1841 - 378 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... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...all the angles of the figure, together with four right angles, that is, the angles of the figure are **equal to twice as many right angles as the figure has sides,** wanting four. COR. 2. All the exterior angles of any rectilineal figure are together equal to four... | |
| Euclides - 1842 - 320 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.** COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...be 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 sum of all the angles... | |
| Nathan Scholfield - 1845 - 896 pages
...to 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... | |
| Euclid, James Thomson - Geometry - 1845 - 380 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... | |
| Euclides - 1845 - 544 pages
...angles. But all the interior angles of any rectilinear figure together with four right angles, are **equal to twice as many right angles as the figure has sides,** that is, if we agree to assume IT to designate two right angles, .-. nS + 27T = ntr, and «6 = »ir... | |
| |