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 170
s the form T&± - ]/X2 — A2- From this we see that there is no point of the curve having anabscissa numerically less than A; for such a value of X wouldmake Y imaginary. But for all values of X, positive or negative,numerically greater than A, equal positive and negative values ofY maybe found,… … creases. Now, since X2 — A2 is less than X2. the radical is less than X, and Y < - X.A Suppose now the values of A and B to be given; construct thepoint (A, B), by laying offfrom C a distance equal to Aon the axis of X, and erect-ing a perpendicular equal toB. Join the point D, sofound, with the…
Geometry, Analytic
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