| Euclid - 1835 - 540 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 - Geometry - 1836 - 114 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. II. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Mathematics - 1836 - 472 pages
...triangle are equal to two right angles. Сон. 1. All the interior angles of any rectilineal figure are **equal to twice as many right angles as the figure has sides,** wanting four right anglesť 2. All the exterior angles of any rectilineal figure are to. gether equal... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...common vertex of these triangles = 4 rt. /.s; therefore, the sum or 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... | |
| Adrien Marie Legendre - Geometry - 1837 - 372 pages
...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 as the** polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.... | |
| Commissioners of National Education in Ireland - 1837
...you go along, as also the angles. angles, A, B, C, &c. of the figure together, and their sum must be **equal to twice as many right angles as the figure has sides,** wanting four right angles. But when the figure has a re-enterant angle, as F, measure the external... | |
| Euclid - Geometry - 1837 - 410 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... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 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.** Let the sum of the interior angles be denoted by I, the number of sides by n, and a right angle by... | |
| 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
...of the 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... | |
| |