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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 99

An illustration from Analytic geometry and calculus, 1917, leaf 99
plane. The equation may be written ?y2 + y = 3 x - 1,or if + y + \ = 3 x — 1 + \, which reduces to (// + \) = 3 (.r — \). Hence the vertex is at the point (\, — J); the equation of the axis isy + 1- = 0, or 2 y + 1 = 0 ; the focus is at the point (I + 4, — I), or (1, — J-);and the equation of the… … Fig. 77 if both numerator and denominator of the left-hand fractionare multiplied by 4. From the symmetry of the parabola, 2 yx= Q^ and Q2P2 = 2 ?/2;OM , (2) becomes and since xx= OMl and x, Q^i OM1 Q,P, OIL (3) That is, the squares of any two chords of a parabola tvhich areperpendicndar to the…

Geometry, Analytic · Calculus

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