[color=#0000ff][i][color=#0000ff][i][color=#999999]This activity belongs to the GeoGebra book [url=https://www.geogebra.org/m/mes4bgft]The Domain of the Time[/url].[/color][/i][/color][/i][/color][br][br]We can project the point describing the UCM onto any diameter of the circle. The point obtained will always follow a SHM. If we project onto the horizontal and vertical diameters, we obtain the familiar diagram used to explain the cosine and sine functions in the unit circle.[br][br]However, a curious effect occurs when we project onto ALL the diameters. The points obtained, each traveling along its diameter in SHM, will form a new circle with half the radius, rotating inside the larger circle. And in turn, this new circle...

[color=#999999][color=#999999][color=#999999][color=#0000ff][color=#0000ff][color=#999999][color=#999999]Author of the activity and GeoGebra construction: [/color][/color][/color][color=#0000ff][color=#999999][color=#999999][url=https://www.geogebra.org/u/rafael]Rafael Losada[/url].[/color][/color][/color][/color][/color][/color][/color]