Trammel Of Archimedes

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An Archimedes' trammel is a device that generates an ellipse. It consists of a rod connected to two sliders with pivot points A and B. The distances from point A to B are denoted as 'p', while the distance from B to C (the end of the rod) is represented as 'q'. As the rod forms an angle θ with the x-axis, the coordinates of point C follow the equation X = (p+q)cosθ, Y = qsinθ, which define the ellipse's major and minor axes.