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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 295

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.14 a, w), U.71a, ^\ (6.28 a, 2 it), etc., are on the locus [approximately]. (3) If (r„ ^i), and (r^, fli + 2ir), be points on the locus,then r2=a0i+2air=ri+2ira., i.e., any radius vector is dividedby the curve into equal segments, each of length 2 na. (4) For negative values of 6 the locus is… … Fia. 123. (1) The pole is on the curve. (2) The maximum numerical value of r is obtained if sin 2 e = 1, i.e., if ^ = 7, 4 4 etc. (3) r increases from 0 to a as ^ increases from 0 to ^: thenr decreases to 0, as 0 increases to ^- A loop is formed, sym- metrical with respect to the line 0 =~ (4) The…

Geometry, Analytic

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