Answered: 30. If z = aZ™ + bZ", where m, n are…

30. If z = aZ™ + bZ", where m, n are positive integers and a, b real, then as Z describes the unit circle, z describes a hypo- or epi-cycloid.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.5: More Area Relationships In The Circle

Problem 9E

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30. If z = aZ™ + bZ", where m, n are positive integers and a, b real, then
as Z describes the unit circle, z describes a hypo- or epi-cycloid.

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