Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 240
rd degree in A, which has three roots. Ilence wehave three expressions of the form F + \P, each of which,when equated to zero, gives a pair of lines. Q. E. D. Remark. If we call A, B, C and D the four points ofintersection of the family, the three pairs of lines which be-long to it will pass as… … 204. Theorem XIII. If loe tahe any point {x^, y^)at pleasure in the plane of a family of conies, then one conicof the family, and no more, will pass through this point. Proof Since the equation must be satisfied for the value {x^, y^) of the co-ordinatesX and y which enter into it, we have (m +…
Geometry, Analytic
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