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Plane and solid analytic geometry; an elementary textbook (1904)

Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 244

An illustration from Plane and solid analytic geometry; an elementary textbook, 1904, leaf 244
sesthrough all the points common to the loci of U = 0 andV= 0, and which meets neither of these surfaces at anyother points. Show also that the locus of UV= 0 willconsist of the loci of TJ— 0 and V= 0. CHAPTER III THE PLANE 15. Normal form of the equation of a plane.—Let ONbe the normal to the… … Fig. 11. the plane, measured along the normal. Let P(x,y,z)be any point in the plane. The line PK will be perpen-dicular to ON, and the projection of OP on ON will beOK or p. But the projection of OP on ON is the sameas the projection on ON of the broken line OL, LC, CP, 227 228 ANALYTIC GEOMETRY…

Geometry, Analytic

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