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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 510

An illustration from Plane and solid analytic geometry, 1921, leaf 510
ng from Pq, en-circles the lower half of the cylinder infinitely many times.The complete locus of P is, then, an unbroken curve continu-ously winding about the cylinder in both directions. It is thiscurve which is represented parametrically by the equations (3). Since the height of P above (or… … Fig. 8 492 ANALYTIC GEOMETRY cylinder with a uniforiyi steepness. It is the curve of thethread of a machine screw and is called a circular screw or acircular helix. The Twisted Cubic. Consider the curve represented para-metrically by the equations (4) x = at, y = hP, z = cfy where t is the…

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

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