| Charles Reiner - 1837 - 215 pagina’s
...vertex of these triangles = 4 rt. /.s; therefore, the sum 01 the interior angles of any polygon is **equal to twice as many right angles as the figure has sides** less [minus] four. M.—If the number of sides be three, four, five, six, seven, &c., what is the sum... | |
| Euclid - 1837 - 390 pagina’s
...&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 - 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.... | |
| 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... | |
| Dionysius Lardner - 1840 - 314 pagina’s
...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 - 351 pagina’s
...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 - 1842 - 317 pagina’s
...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
...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 - 1844 - 96 pagina’s
...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 - 1845 - 352 pagina’s
...&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... | |
| |