Evolvent of the circle

An [url=https://en.wikipedia.org/wiki/Involute]evolvent [/url](=involute) of a curve is the [url=https://en.wikipedia.org/wiki/Locus_(mathematics)]locus[/url] of a point on a piece of taut string as the string is wrapped around the curve. It is a class of curves coming under the [url=https://en.wikipedia.org/wiki/Roulette_(curve)]roulette[/url] family of curves. [br]The [url=https://en.wikipedia.org/wiki/Evolute]evolute[/url] of an involute is the original curve.[br][br]Je dána kružnice k a její bod V. Sestrojte evolventu kružnice k, která prochází daným bodem V.[br]Nápověda:[br]Evolventa dané křivky je křivka, která vznikne odvalováním tečny po křivce.
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Determine the new position of point [i]T[/i][sub]0[/sub] as tangent line rolls [i]t[/i] along the circle without slipping. The dynamic is given by instantaneous centre [color=#3d85c6]T[sub]i[/sub][/color].
Determine the new position of point [i]T[/i][sub]0[/sub] as tangent line rolls [i]t[/i] along the circle without slipping. The dynamic is given by instantaneous centre [color=#3d85c6]T[sub]i[/sub][/color].

Information: Evolvent of the circle