Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 50
ations, orin other words, to solve the equations simultaneously. 21. Locus of u -f kv =o and nv = o. —If all the termsof an equation are transposed to the first member, we mayrepresent them by a single letter, as u or v, and speak ofthe equation as u = 0 orv = 0. The letters u andv are simply used… … 32 ANALYTIC GEOMETRY [Ch. Ill, § 21 k is any constant quantity, positive or negative. Let(xv yx) be any point of intersection of the two curvesu = 0 and v = 0. Its coordinates will satisfy both theseequations, and hence will satisfy the equation u + kv = 0.The locus of u + kv = 0 must therefore…
Geometry, Analytic
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