 | Alfred Wrigley - 1845 - 222 Seiten
...Guldmus's properties are, — 1st. The surface generated by a curve line, revolving about a fixed axis = the product of the length of the curve into the length of the path described by its centre of gravity. 2nd. The volume generated by a plane area revolving about a fixed... | |
 | Samuel Earnshaw - 1845 - 290 Seiten
...expresses the property to be proved. 185. The volume generated by a plane area, revolving about a fixed axis in its own plane, is equal to the product of the area into the length of the path described by its centre of gravity. Let A be the revolving area ;... | |
 | John Francis Twisden - 1860 - 380 Seiten
...AB. But 2-n- GM is the length of the path of G, or the area of the surface is found by multiplying the length of the curve into the length of the path of its centre of gravity. Cor. — It is manifest that the above proof includes the case of the figure described by the revolution... | |
 | Alfred Wrigley - 1862 - 330 Seiten
...PROPERTIES. (1) The surface generated by a curve line, revolving about a fixed axis in its own plane = the product of the length of the curve, into the length of the path described by its centre of gravity. (2) The volume generated by a plane area revolving about a fixed... | |
 | G. R. Smalley - 1862 - 190 Seiten
...the centre of gravity of the curve. (2) The volume generated by a plane area revolving about a fixed axis in its own plane, is equal to the product of the area and the length of the path described by the centre of gravity of the area. THE MECHANICAL POWERS.... | |
 | John Francis Twisden - 1863 - 412 Seiten
...curve AB. But 2?rGM is the length of the path of G, or the area of the surface is found by multiplying the length of the curve into the length of the path of its centre of gravity. Cor. — It is manifest that the above proof includes the case of the figure described by the revolution... | |
 | John Francis Twisden - 1863 - 390 Seiten
...curve AB. But 2?rGM is the length of the path of G, or the area of the surface is found by multiplying the length of the curve into the length of the path of its centre of gravity. Cor. — It is manifest that the above proof includes the case of the figure described by the revolution... | |
 | Samuel Newth - 1864 - 392 Seiten
...If any plane curve revolve about an axis lying in its own plane, the area of the generated surface is equal to the product of the length of the curve into the length of the arc described by its centre of gravity. Let AB be the curve, and let it revolve about the axis CD,... | |
 | William Thomson Baron Kelvin, Peter Guthrie Tait - 1867 - 914 Seiten
...end into the length of the pa& described by its centre of gravity ; and the area of the cumA surface is equal to the product of the length of the curve into th> length of the path described by its centre of gravity. 570. The general principles upon which forces... | |
 | William Thomson Baron Kelvin, Peter Guthrie Tait - 1872 - 316 Seiten
...into the length of the path described by its centre of gravity ; and the area of the curved surface is equal to the product of the length of the curve into the length of the path described by its centre of gravity. 690. The general principles upon which forces of constraint and... | |
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... surface is equal to the product of the length of the curve into the length of the path described by its centre of gravity. 
