 | Horace Lamb - 1897 - 644 páginas
...2°. If a plane area revolve about an axis in its plane, not intersecting it, the volume generated is equal to the area multiplied by the length of the path of its centre of mass. If SA be an element of the area, the volume generated in a complete revolution... | |
 | George Alexander Gibson - 1901 - 490 páginas
...an axis in its plane which doa not intersect it the volume generated is equal to the area niultiplia by the length of the path of the centroid of the area. Taking the #-axis as the axis of revolution, the theorems follow a once from the equations by multiplying... | |
 | George Alexander Gibson - 1901 - 492 páginas
...axis in its plane which does not intersect it, the surface generated is equal to the length of the arc multiplied by the length of the path of the centroid of the arc. (ii) If a plane area revolve about an axis in its plane which does not intersect it the volume... | |
 | Sir Horace Lamb - 1912 - 359 páginas
...2°. If a plane area revolve about an axis in its plane, not intersecting it, the volume generated is equal to the area multiplied by the length of the path of its mean centre. If BS be an element of the area, the volume generated in a complete revolution is... | |
 | William Norman Thomas - 1920 - 552 páginas
...by a constant area rotating about a fixed axis, then by the well-known rule of Guldinus the volume is equal to the area multiplied by the length of the path traced by the centre of gravity of the area. Thus if an area A is rotated through an angle 6, about... | |
 | Bansi Lal - 2006 - 414 páginas
...the curve, the curved surface of the solid generated is equal to the length of the arc of the curve multiplied by the length of the path of the centroid of the arc. Take the axis of revolution as the дс-axis and a line 1 to it as the y-axis. Let APBC be the... | |
 | 558 páginas
...2°. If a plane area revolve about an axis in its plane, not intersecting it, the volume generated is equal to the area multiplied by the length of the path of its mean centre. If SA be an element of the area, the volume generated in a complete revolution is... | |
 | 274 páginas
...similarly that if a plane area revolve about an axis in its plane not intersecting it, the volume generated is equal to the area multiplied by the length of the path of its mean centre. 17. A groove of semicircular section, of radius 6, is cut round a cylinder of radius... | |
 | James L. Meriam - 1966 - 376 páginas
...2°. If a plane area revolve about an axis in its plane, not intersecting it, the volume generated is equal to the area multiplied by the length of the path of its mean centre. If SS be an element of the area, the volume generated in a complete revolution is... | |
 | 556 páginas
...2°. If a plane area revolve about an axis in its plane, not intersecting it, the volume generated is equal to the area multiplied by the length of the path of its mean centre. If SA be an element of the area, the volume generated in a complete revolution is... | |
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Z-7rji/ds=ZTry xfds, ..................... (1) which is the theorem. 2°. If a plane area revolve about an axis in its plane, not intersecting it, the volume generated is equal to the area multiplied by the length of the path of its mean centre. 