| Ralph Smyth, Sir Henry Edward Landor Thuillier - 1851 - 718 Seiten
...many right angles as there are triangles, that is, as there are sides of the figure : and the same **angles are equal to the angles of the figure, together...equal to twice as many right angles as the figure has** sides. Cor. 4. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| John William Colenso (bp. of Natal.) - 1851
...required. 15. It appears, from Euc. I. 32, Cor. 1, that ' 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.' Hence if n be the number of sides of any rectilineal figure, we have the sum of its n angles... | |
| Euclides - 1852
...end of the produced line to the end of the base. COB. 3. 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. COB. 4. All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
| Euclides - 1852
...that is a , together with four right angles. . 2 Cor Therefore all the angles of the figure, XT - *• **together with four right angles, are equal to twice as many right angles as the figure has** sides. [The triangle furnishes an instance of this, for all its angles are together equal to two right... | |
| Euclides - 1853 - 147 Seiten
...with the angles at the point f, which is the common vertex of the triangles : that is (i. 15, cor. 2), **together with four right angles. Therefore all the...equal to twice as many right angles as the figure has** sides. Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right... | |
| Euclides - 1853
...with the angles at the point F, which is the common vertex of the triangles; that is, (I. 15. Cor. 2.) **together with four right angles. Therefore all the...equal to twice as many right angles as the figure has** sides. COK. 2. — All the exterior angles of any rectilineal figure are together equal to four right... | |
| Euclid - 1853 - 136 Seiten
...internal angles, are equal to twice as many right angles as the figure has sides; but the internal angles, **together with four right angles, are equal to twice as many right angles as the figure has** sides (6); take away from both the internal angles, and the external angles remain, equal to four right... | |
| Euclides - 1853
...the angles of the polygon together with four right angles. But all the angles of the polygon GHKLM **together with four right angles are equal to twice as many right angles as the** polygon has sides (i. 32. Cor. i), that is, as there are plane angles constituting the solid angle... | |
| Royal Military Academy, Woolwich - 1853
...angles. Wherefore, if a side of a triangle, etc. QED COR. 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal to twice as many** D right angles as the figure has sides. E.«=^lT"\~~-^, \ 4C-\ For any rectilineal figure ABCDE can... | |
| Popular educator - 1854
...that nil the angles of these tiungles are equal to twice as many right anales as the figure has sides. **Therefore all the angles of the figure together with...four right angles are equal to twice as many right** ung'es as the figure has sides. Corollary 2. All the exterior angles of any rectilineal figure, made... | |
| |