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An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions (1869)

Johnson, William Woolsey, 1841-1927 · Philadelphia : J.B. Lippincott · leaf 126

An illustration from An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions, 1869, leaf 126
ne fixed point.By an equation of condition we can find one of the series pass-ing also through a given point. 167. Except in the above case,a certain value of k will give asingle line, and another a pair ofparallel lines. The parallel linesare real, coincident or imaginary,according as the two… … 122 THE PARABOLA. is the pair of coincident lines. Though CD, regarded as a singleline, cuts the parabolas, yet as a double line it meets them in twocoincident points, and therefore fulfils the algebraic condition oftangency. In fact, in the equation of any two coincident linesevery value of x…

Geometry, Analytic

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