Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 48
s, orin other words, to solve the equations simultaneously. 21. Locus of u + kv =o and uv = o. —If all the termsof an equation are transposed to the first member, we mayrepresent them by a single letter, as u or t>, and speak ofthe equation as ?/ = 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 -f kv = 0 must therefore…
Geometry, Analytic
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