Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 409
es within the ellipse /; it graduallydecreases in size until, when X is a quantity very slightlygreater than — b^, it is an extremely narrow ellipse verynearly coinciding with the line SH, which joins the twofoci of all curves of the system. Next, let X be less than — b^; the semi-minor axis\/b^ +… … [As X passes through the value — h^ it will be noted thatthe confocal instantaneously changes from the line-ellipseSH to the line-hyperbola SX and HX.^ As X gets less and less, the semi-transverse axis Ja^ + \becomes less and less, so that the ends of the transverseaxis of the hyperbola gradually…
Coordinates · Geometry, Analytic
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