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Libros Libros 1 a 7 de 7 sobre Clairaut's form, of which the complete primitive is and the singular solution The...
" Clairaut's form, of which the complete primitive is and the singular solution The former 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.... "
A Treatise on the Stability of a Given State of Motion: Particularly Steady ... - Página 61
de Edward John Routh - 1877 - 108 páginas
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A Treatise on Differential Equations, Volumen 1

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...
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A Treatise on Differential Equations, Volumen 1

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...
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A Treatise on the Stability of a Given State of Motion: Particularly Steady ...

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...
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A Treatise on the Stability of a Given State of Motion: Particularly Steady ...

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...
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The Elementary Part of A Treatise on the Dynamics of a System of Rigid ...

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...
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Annals of Mathematics

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...
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R.W.H. T. HUDSON, M.A., D.Sc.

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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