When a bicycle is illuminated by a headlight in the dark, the track of the reflectors on the spokes and pedals becomes visible as a curve.[br][br][b]Task[/b][br]Use the checkbox to show the cycloids.[br]Play the animation for the parameter t.[br]Change the value of parameter a. What is the meaning of this parameter?

When a circle rolls on a straight line, a point on the circle creates a special roulette, a so-called [b]cycloid[/b].[br][br]Parameter representation of the cycloids[br][br]x(t) = r·t - a·sin(t)[br]y(t) = r - a·cos(t)[br][br]In this case, the parameter t represents the angle of rotation.[br][br][b]Task[/b][br]Change the parameter a and the radius r of the wheel.