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Brief course in analytic geometry (1911)

Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 253

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y coordinates ofevery point Q on this linewill be the same as for P,and therefore satisfyequation (1). Moreover,if the line PQ be movedalong AB, and alwaysparallel to the sf-axis, still the coordinates of evej:y point in itsatisfy equation (1). As the line PQ is thus moved, it tracesa plane surface… … Fio. 96. r / pf\ \ / Q / \ u Fia. 97. 141-143] THE LOCUS OF AN EQUATION. SURFACES 237 represents in the z/a-plane a circle. It is therefore satisfied bythe coordinates of any point Q, in a line parallel to the a)-axis,through any point P of this circle ; and also by the coordinatesof Q as this line…

Geometry, Analytic

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