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The elements of coordinate geometry (1895)

Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 183

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Then a circle, whose centre is T and whose radius is TR^will cut each circle of the coaxal system orthogonally. 168 COORDINATE GEOMETRY. [For the radius TR of this circle is at right angles tothe radius O^R, and so for its intersection with any othercircle of the system.] … Fig. II. Hence the limiting points (being point-c^rcZes of thesystem) are on this orthogonal circle. The limiting points are therefore the intersections withthe line of centres of any circle whose centre is on thecommon radical axis and whose radius is the tangent fromit to any of the circles of…

Coordinates · Geometry, Analytic

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