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Elements of analytic geometry (1884)

Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 122

An illustration from Elements of analytic geometry, 1884, leaf 122
ause PT = PT, the line throughP perpendicular to the central line is the radical axis.Hence the given line iVis the radical axis of the two circles;whence the circle JT fulfils the condition of the problem. Since the line PT may be drawn in any direction what-ever, we may find an indefinite number… … line PN is the radical axis of any two circles of a familypassing through the same two points, real or imaginary. Tangent Circles. 91. The following propositions lead to the solution ofthe noted problem of drawing a circle tangent to three givencircles. Def. When two circles each touch a third, the…

Geometry, Analytic

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