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A curve (resembling a series of arches) traced by a point on a circle being rolled along a straight line.
‘Viviani determined the tangent to the cycloid but he was not the first to succeed in this.’
‘To estimate the relative surface area of basal lamina and apertures, we used a line intercept technique with cycloids.’
‘Many famous mathematicians, including Descartes, have worked on a class of curves called cycloids.’
‘He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.’
‘Neile's parabola was the first algebraic curve to have its arc length calculated; only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this.’
Origin
Mid 17th century: from Greek kukloeidēs ‘circular’, from kuklos ‘circle’.