Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 352
^-Fsin^, i.e. —= ; for 5 3X + 4Yy we put Xsin^+Fcos^, i.e. =—, and hence for ^x-Ay the quantity -57. The equation (1) therefore becomes 2572_i[72Z-54Y]-i[303Z+404r| + 19 = 0, i.e. 25r2-75Z-70r+19=0 (2). This is the equation to the curve referred to the axes OX and OY.But (2) can be written in the… … lA Referred to AL and AM the equation to the parabola is Y^=SX.It is therefore a parabola, whose vertex is A, whose latua rectum is 3,and whose axis is AL. Second Metliod. The equation (1) can be written (3a;-4?/ + X)2=(6\ + 18)a; + ?/{101-8X) + X2-19 (3). Choose X so that the straight lines Sx-4y…
Coordinates · Geometry, Analytic
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