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" ... Let us now consider the case of the outer planets (of which the only ones known in Copernicus's day were Mars, Jupiter, and Saturn). Let S be the fixed position of the Sun. Let E and P be the instantaneous positions of the Earth and the outer planet, respectively. We introduce another moving point, labelled C, such that at any given time ESPC is a parallelogram, with side lengths PC = SE and EC = SP. Note that since SE and SP are the fixed radii of the respective orbits for the Earth and the planet, the parallelogram ESPC has sides of fixed length, and only its internal angles change with time: ... "