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Spivak: Conic Sections appendix, problem 1
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[QUOTE="tnich, post: 6053442, member: 639870"] That's exactly what he is trying to do, get the equation of the intersection of the cylinder and the plane. He is trying to express that equation in a coordinate system embedded in the plane. He already showed you how that worked for the plane and the cone, and you didn't seem to have trouble with that. The only difference here is that the variable ##z## does not show up in the equation of the cylinder, so there is not need to express ##z## in terms of ##x##, and no need to substitute ##\alpha x' + \beta## for ##x## in the expression for ##z## (because there is no expression for ##z##). [/QUOTE]
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Spivak: Conic Sections appendix, problem 1
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