. The London, Edinburgh and Dublin philosophical magazine and journal of science. A--» A,=- A,= tively, when a = \ so that u/v = -866. In fig. 2 the curvemarked \ = | is a circle, a section of the sphere of which the of an Electrified Ellipsoid. 337 line marked X = 0 is the image. The semi-length of theline and the radius of the disk are each taken as unity. Fig. 1 have attempted to find the lines of the mechanical force F,these being everywhere perpendicular to the equilibriumsurfaces. But the process involved an impracticable inte-gration, and thus led to no result. 1 will now wrrite dow
. The London, Edinburgh and Dublin philosophical magazine and journal of science. A--» A,=- A,= tively, when a = \ so that u/v = -866. In fig. 2 the curvemarked \ = | is a circle, a section of the sphere of which the of an Electrified Ellipsoid. 337 line marked X = 0 is the image. The semi-length of theline and the radius of the disk are each taken as unity. Fig. 1 have attempted to find the lines of the mechanical force F,these being everywhere perpendicular to the equilibriumsurfaces. But the process involved an impracticable inte-gration, and thus led to no result. 1 will now wrrite down the values of E and H at any point near the ellipsoid of revolution with axes a, b, b. Instead of X it will be convenient to take as the parameter of any one of the equilibrium surfaces its x axis and to denote this by h. Thus 7,, _ h2 = a2 + aX ; and consequently if we put Z2 for a? — ub2, so that I is the semi-length of the line which is the image of the ellipsoid, wehave h2 — Pb2 + \ = - -. 338 Mr. G. F. C. Searle on the Steady Motion The value of W in terms of It thus becomes at, _ 9 f ^ n ~ Kjj A2-/2 ^J 17) Equation (11) now becomes ,v2 p2a so thatinsteadofthe cylindrical coordinates^and p( = \A/2 + *2)we can take h and where x=hcos, p = -=^-sin<£. . (19) \ a From (18) we have in terms of h and <p dji _ (A2-/2) cos <
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Keywords: ., bookcentury1800, bookdecade1840, bookidlondon, booksubjectscience
