“CYCLOID” на російській мові

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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.

He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.

Viviani determined the tangent to the cycloid but he was not the first to succeed in this.

Many famous mathematicians, including Descartes, have worked on a class of curves called cycloids .

Desargues proposed cycloidal teeth for gear wheels in the 1630's.