. The Philosophical magazine; a journal of theoretical, experimental and applied physics . mical Lord Kelvin^. THE method of drawing meridianal curves of capillarysurfaces of revolution, described in Popular Lecturesand Addresses, vol. i., 2nd edition, pp. 31-42, and illustratedby woodcuts made from large scale curves, worked out ac-cordino- to it with great care and success by Professor Perrywhen a student in the Natural Philosophy Class of Glasgow * Communicated by the Autlior, 444 Lord Kelvin on Graphic Solution University, suggests a corresponding method for the sohitionof dyna
. The Philosophical magazine; a journal of theoretical, experimental and applied physics . mical Lord Kelvin^. THE method of drawing meridianal curves of capillarysurfaces of revolution, described in Popular Lecturesand Addresses, vol. i., 2nd edition, pp. 31-42, and illustratedby woodcuts made from large scale curves, worked out ac-cordino- to it with great care and success by Professor Perrywhen a student in the Natural Philosophy Class of Glasgow * Communicated by the Autlior, 444 Lord Kelvin on Graphic Solution University, suggests a corresponding method for the sohitionof dynamical problems. In dynamical problems regarding the motion of a singleparticle in a plane, it gives the following plan for drawingany possible path under the influence of a force of which thepotential is given for every point of the plane. Suppose,for example, it is required to find the path of a particleprojected, with any given velocity, in any given directionthri3ugh any given point Po (fig. 1). Calculate the normalcomponent force at this point; and divide the square ot the Fiff. velocity by this value, to find the radius of curvatureof the path at that point. Taking this radius on the com-passeSj find the centre of curvature, Co, in the line, PyK,perpendicular to the given direction through Pq, and describea small arc, PoPiQi, making PiQi equal to about half theleno-th intended for the second arc. Calculate the alteredvelocity for the position Qi, according to the potential law ;and as before for Pq, calculate a fresh radius of curvaturefor Qi by finding the normal component force for the altereddirection of normal and for the velocity corresponding to theposition of Qi- With this radius, find the position of thecentre of curvature, Ci, in PiCoL, the line of the radiusthrouo-h Pi. With this centre of curvature, and the freshradius of curvature, describe an arc P1P2Q2 making P2Q2 equalto about half the length intended for the third arc ; calculateradius of curvature for
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