Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 203
angles at a common end of the latus rectumof each. 38. ^ parabola is drawn touching the axis of x at the origin andhaving its vertex at a given distance k from this axis. Prove that theaxis of the parabola is a tangent to the parabola x^= -Sk {y -2k). 211. Some properties of the Parabola. (a) If… … Let P be the point (x, y). Draw PM perpendicular to the directrix. By Art. 209, we have AT^AN. :. TS=TA + AS=^AF+ZA = ZF=MP = SP,and hence z STP = z SPT. By the same article, NG - iAS = ZS. :. SG^SN-\-NG = ZS+SF=MP = SP. (/8) If the tangent at P meet the directrix in K, thenKSP is a right angle.…
Coordinates · Geometry, Analytic
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