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Plane and solid analytic geometry; an elementary textbook (1901)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 194

An illustration from Plane and solid analytic geometry; an elementary textbook, 1901, leaf 194
evolve the axes through an angle 0, such that tan 2* = -^=^. We have decided to use the acute value of 6, which is here -• 4 To determine A and C, we use the equations (18) and (22) or A + C = A + C = 10, and <LAC = 4;AC-B2 = 96. Solving, we have A = 6 or 4, and C = 4 or 6. But sincewe chose the… … But this is the equation of the curve referred to axeswith origin at the point(1,1), and making an angle of - with the original axes. 4 Constructing these axesand plotting the equation 6ar9 + 4?/2 = 12with respect to them, wehave the locus of the origi-nal equation, referred to theoriginal axes. 2.…

Geometry, Analytic

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