A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 108
. Take any distance, as Al, onAa, twice this distance, as A2, on Al*,three times the same distance, as A3 on Ac, etc., etc. Then will 1, 2, 3 17 be points in the spiral, q. e. d. III.—The dotted Hne ah cdefg is the measuring circle, and Al 2 3the first spire. 8 9 10 11 15 16 is the second spire.… … 7 8 is 110. JProb. To produce the equation of the Spiral of Archimedes. Solution.—Letting a be the ratio of the radius vector to the variable angle, we have r = aO. Or, otherwise, calling the radius of the measuring circle, A 8, Fig. 83, 1, for this value of r, 6 = 27t. Let 3 be any point in the…
Geometry, Analytic · Calculus
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