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Plane and solid analytic geometry (1921)

Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 215

An illustration from Plane and solid analytic geometry, 1921, leaf 215
se radius is 4 has its center at the point(5, 90°), -Show that its equation is r2 — 10 r sin ^ -f- 9 = 0. .jo. Show that the equation of any circle is r2 — 2 cr cos (^ — y) -f c2 = p2^ where p denotes the radius and (c, y) are the coordinates of thecenter. What curve is represented by each of the… … , straight Lines. Let us consider first a line L which doespass through 0, and assume, to begin with, that L meets the prime direction at right angles at thedistance h from 0. The equation of L is, evidently, / (1) r cos 6 =ih. If L is parallel to the prime directionand at a distance h above it, it…

Geometry, Analytic -- Plane · Geometry, Analytic -- Solid

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