Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 70
by the general name roulettes.Cycloids are a special class of roulettes. a XIin PLOTTING OF TRANSCENDENTAL EQCATlONH .55 mS of tlicryiloiil. The courtliiiates of any inuiitof the cycloiday be expressed as trausceudental iuiictions cd a variableangle. Take the base ol the cyck)id as X-axis, the… … cycloid AK= arc PK = rO, y = PD = OK - OL ^ r - r cos d,X = AD = AK — DK=^ i-e — r sin 9. Kence (1) x = rO - r sin 0,y = )• — r cos 9 for every value of 9 determine a point of thecycloid. The equation of the cycloid between x and y isobtained either directly from the figure, X = AK — DK — arc PK —…
Geometry, Analytic
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