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Created in MicroStation http://www.Bentley.com ; this clip examines the congruence of two orbits - that of the Earth around the Sun and the apparent orbit of the Sun around the Earth. Two intuitive, 'thought experiment' - like proofs are offered. First attaches a drawing surface to the orbiting Earth and uses the Sun as a pencil to trace its apparent path. The second one uses the sun rays and flips them as lines of sight from the Earth. They are taken as the position vectors/polar coordinates of the elliptical orbit. And they are transferred with simple translation from the Sun to the Earth - a simple 'shift of origin' transformation, promising an identical ellipse.