 ... the same system of generators of an hyperboloid of one sheet. (Salmon's Geometry of Three Dimensions, p. 179.) Hence, the centre being the pole of the plane at infinity, we see that if through each of the given poles we draw lines parallel to the...  Mathematical Questions and Solutions - Page 1011869Full view - About this book
 | 1868 - 380 pages
...the given poles we draw lines parallel to the intersection of the other two planes, the hypurboloid of which these are generators passes through the intersection...cone, whose weight may be neglected, is suspended fi-om a point in its rim ; it contains as much fluid as it can : show that the whole pressure upon... | |
 | W. J. C. Miller - Mathematics - 1869 - 120 pages
...with regard to a system of quadrics, the locus of centre is a right line. Solution by the Pnorosn it. For the lines joining the vertices of a tetrahedron...: show that the whole pressure upon its surface is ,> sina cos9 (cos(9 + a)/f —- - — - cos a <cos(9— a)> where h and 2o are the height and vertical... | |
 | William Henry Besant - Fluid mechanics - 1883 - 248 pages
...it being given that the pressure of the fluid vanishes at an infinite distance from the point 0. 33. A right cone, whose weight may be neglected, is suspended...point in its rim ; it contains as much fluid as it can : prove that the whole pressure upon its surface is where h, 2a, are the height and vertical angle... | |
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