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dc.contributor.authorRigge, William F., S.J.
dc.date.accessioned2018-11-07T19:01:56Z
dc.date.available2018-11-07T19:01:56Z
dc.date.issued1922-01
dc.identifier.urihttp://hdl.handle.net/10504/119922
dc.descriptionReprinten_US
dc.description.abstractFirst Paragraph: | A point P moves in the line segment EG, Fig. 1, with simple harmonic motion of p cycles, while this segment makes q revolutions about A with uniform angular speed. Moritz has exhaustively treated the case when the point A is in the line EG or in its prolongation. The writer has shown that when the point A is out of the line EG and the rosette drawn is cuspidal, AL, the distance of EG from A, must be n sin (in which n = p/q) and LR, the distance of R, the mid-point, or point of zero phase, of EG, from its point of tangency L on the tangent circle, must be cos β. The point P remains on an ellipse whose conjugate semi-axis is unity (= ER = RG) and is always parallel to EG, whose major semi-axis = n, and whose center is the sine PR of the phase a distant from A, β being the eccentric angle of P.en_US
dc.language.isoen_USen_US
dc.subjectRigge Papersen_US
dc.subjectHarmonic Curvesen_US
dc.titleCuspidal Envelope Rosettesen_US
dc.typeArticleen_US
dc.description.volumeXXIXen_US
dc.title.workThe American Mathematical Monthlyen_US
dc.description.pages6-8en_US
dc.description.issue1en_US


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