| George Boole - 1865 - 494 páginas
...denotes a family of straight lines whose distance from the origin is equal to a, the latter a circle **whose centre is at the origin, and whose radius is equal to** a. And here, as was noted generally by Lagrange, the singular solution seems to be, in relation to... | |
| George Boole - 1865 - 496 páginas
...denotes a family of straight lines whose distance from the origin is equal to a, the latter a circle **whose centre is at the origin, and whose radius is equal to** a. And here, as was noted generally by Lagrange, the singular solution seems to be, in relation to... | |
| Edward John Routh - 1877 - 108 páginas
...P always lies on the quadric 2\ = Z7 where U is the force function and the co-ordinates 6, <f,, \l1 **have their instantaneous values. The point Q must...'centre is at the origin and whose radius is equal to** \/2Z/. The equation to the reciprocal quadric is therefore = U, those new variables are introduced... | |
| Edward John Routh - 1877 - 108 páginas
...co-ordinates 9, </,, i/' have their instantaneous values. The point Q must therefore lie on another quadrio **which is the polar reciprocal of the first with regard...centre is at the origin and whose radius is equal to** *J2U. The equation to the reciprocal quadric is therefore _ J_ 0 uvu *~ 2A u Au Aw A v A12 AM A, w... | |
| Edward John Routh - 1882 - 385 páginas
...we see that Q will also lie on a quadrio which is 1 ay a0 ay the polar reciprocal of the quadric Tt **with regard to a sphere whose centre is at the origin, and whose radius is equal to** \':-'' '. Let tMs reciprocal quadrio be Tt = U. Then since these quadrics possess reciprocal properties... | |
| 1888
...When n = e*, then X=e"cosУ, Y = er sin y. If x = ч, we have X* + Y2 = < *" ; ie u describes a circle **whose centre is at the origin and whose radius is equal to** <•". If y = ß, then Y = Xtan ß; ie « describes a straight line through the origin making an angle... | |
| KUMMER'S QUATRIC SURFACE - 1905
...Hence it is the normal to the confocal /JL and tangent to the line X = const. These two planes touch **a sphere whose centre is at the origin and whose radius is** independent of p*. Having considered the rays through any point we next consider the rays lying in... | |
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