Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 152
FiG. 125. 2. x:^ - 3 xij + 2/- + 10 X - 10 2/ + 21 = 0. ac — b = ~:l, therefore the equation represents an hyperbola. Thecenter, determined by the equations Xo — % ijo + 5 = 0, — ^ xo + 2/0 — 5=0,is (— 2, 2). A; = fZ.ro + eyo+f=+ \. The axes are determined in direc-tion by tan (2 0) =00, whence… … Fm. 127 3. 9 a:2 - 21 xij + 16 2/2 - 18 x - 101 y + 19 = 0. rtc — 62 — 0, therefore the equation represents a parabola. Write theequation in the form (3x-42/)2-18x-1012/-M9=0. Take 3.x-42/ = 0as X-axis of a rectangular system of coordinates, the origin unchanged.Then tan 0 = ?, sin0=i?, cos0 = v;,…
Geometry, Analytic
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