The Philosophical magazine; a journal of theoretical, experimental and applied physics . the centre hereof being the point B at the distance BA=90°,and the axes coinciding in direction with the equatorB A andmeridian B C : this is in fact a real geodesic evolute of the meri-dian C A. The point « is, it is clear, the intersection of theequator by the geodesic line for which V is consecutive to the point A (so that ZB 0 A= A — -^J90°); and the point 7 is the in on an Oblate Spheroid. m. teFsectioil of the meridian C B by the geodesic line for which V isconsecutive to the point C; and its positio
The Philosophical magazine; a journal of theoretical, experimental and applied physics . the centre hereof being the point B at the distance BA=90°,and the axes coinciding in direction with the equatorB A andmeridian B C : this is in fact a real geodesic evolute of the meri-dian C A. The point « is, it is clear, the intersection of theequator by the geodesic line for which V is consecutive to the point A (so that ZB 0 A= A — -^J90°); and the point 7 is the in on an Oblate Spheroid. m. teFsectioil of the meridian C B by the geodesic line for which V isconsecutive to the point C; and its position will be in this waypresently determined. I was anxious, with a view to the con-struction of a drawing and a model, to obtain some numericalresults in relation to a spheroid of considerable excentricity, and C r selected that for which j =+ (polar axis =^ equatorial).A. Before proceeding further, I remarkthat Legendre^s expression reducedlatitude is used in what is not, I think,the ordinary sense; and I propose tosubstitute the term parametric lati-tude : viz., in figure 3, referring thepoint P on the ellipse by means of theordinate M P Q to a point Q on thecircle, radius OK( = OA, fig. 1), anddrawing the normal P T, then we havefor the point P the three latitudes, A, = Z P T K, normal latitude,V = Z p 0 K, central latitude,X =^ Q 0 K, parametric latitude; viz. X is the parameter most convenient for the expression of thevalues of the coordinates x, y (a; = A cos \,y = C sinX)
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