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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 152

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 152
nes which have for bases the curves 21-25 onpage 44. Pliicker (1801-18G8) showed that curves of the third orderhave 219 varieties. SECOND DEGUEE EQUATIOy 137 to be the point (2, 3). k = dxo + ei/o +/mined in direction by tan (2 0) = — j,wlience 2 tan- ^ - 3 tan 6-2 = 0, tan= 2 or - J. M+N= 25, 3IN… … 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…

Geometry, Analytic

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