 | Sir Henry Edward Landor Thuillier - 1851 - Liczba stron: 826
...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 - Liczba stron: 148
...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 - Liczba stron: 48
...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 - Liczba stron: 152
...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 - Liczba stron: 146
...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... | |
 | Euclides - 1853 - Liczba stron: 176
...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... | |
 | Euclid - 1853 - Liczba stron: 176
...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 - Liczba stron: 334
...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 - Liczba stron: 400
...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 - Liczba stron: 922
...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... | |
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F, which is the common vertex of the triangles ; that is, together 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. 
