 | John William Colenso (bp. of Natal.) - 1851 - Liczba stron: 148
...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 +4 x 90°=... | |
 | Sir Henry Edward Landor Thuillier - 1851 - Liczba stron: 826
...one acute angle, gives the other angle. Cor. 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. For any rectilineal figure ABODE, can be divided into as many triangles as the figure has sides, by... | |
 | Janet Taylor - 1851 - Liczba stron: 674
...being the two angles made by cne line meeting another. The sum of all the outward and inward angles, is equal to twice as many right angles as the figure has sides; but the sum of all the inward angles is equal to twice as man1 right angles as the figure has sides,... | |
 | sir Henry Yule - 1851 - Liczba stron: 282
...polygon may be found from the property of such figures, that the sum of the angles of any polygon is equal to twice as many right angles as the figure has sides, less four. The following technical terms require explanation : — A Salient Angle is one directed... | |
 | 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 angles;... | |
 | Euclides - 1852 - Liczba stron: 48
...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.... | |
 | Charles Davies - 1886 - Liczba stron: 340
...triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is equal to twice as many right angles as the figure has sides. But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 4) ; and... | |
 | Adrien Marie Legendre - 1852 - Liczba stron: 436
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is equal to twice as many right angles as the figure has sides, less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral, is equal to two... | |
 | Royal Military Academy, Woolwich - 1853 - Liczba stron: 400
...; that is, (2 Cor. 15. i.) together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice...equal to four right angles. Because every interior angie ABC, with its adjacent exterior ABD, is equal (13. i.) to two right angles; therefore all the... | |
 | Euclides - 1853 - Liczba stron: 146
...that is, (I. 15. Cor. 2.) 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. COK. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles.... | |
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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. 
