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" Shew that the surface generated by the revolution of a plane curve about an axis in its plane is equal to the rectangle of which the sides are the length of the curve and the length of the path of its centre of gravity. How must the enunciation be altered... "
The examinations for the degree of bachelor of arts, Jan., 1847 - Σελίδα 6
των Cambridge univ, exam. papers - 1847 - 80 σελίδες
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The Mathematical Principles of Mechanical Philosophy: And Their Application ...

John Henry Pratt - 1841 - 598 σελίδες
...figure. Hence the Prop, is true. PBOP. To prove that the surface of the solid generated is equal in area to the rectangle of which the sides are the length of the perimeter of the generating Jigure and the length of the path of the centre of gravity of the perimeter....

The Mathematical Principles of Mechanical Philosophy and Their Application ...

John Henry Pratt - 1842 - 620 σελίδες
...figure. Hence the Prop, is true. PROP. To prove that the surface of the solid generated is equal in area to the rectangle of which the sides are the length of the perimeter of the generating Jigure and the length of the path of the centre of gravity of the perimeter....

A treatise on analytical statics

Isaac Todhunter - 1853
...revolve about an n,r>K lyi»fl i» its own plane, the surface of the solid generated is equal in area to the rectangle, of which the sides are, the length of the perimeter of the generating figure, and the length of the path of the centre of gravity of the perimeter....

A Treatise on Analytical Statics with Numerous Examples

Isaac Todhunter - 1866 - 364 σελίδες
...figure revolve about an axis lying in its own plane, the surface of the solid generated is equal in area to the rectangle, of which the sides are the length of the perimeter of the generating figure and the length of the path of the centre of gravity of the perimeter....




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