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What was the primary purpose of utilizing Pythagorean methods in Ptolemy's geocentric models?

To calculate the distance between the Earth and the MoonTo derive the sizes and distances of celestial bodiesTo explain the retrograde motion of planetsTo define the shape of the Earth

Which geometrical shape did Ptolemy utilize in his geocentric model to describe the orbit of planets?

SquareEllipseCircleTriangle

Which principle related to triangles did Ptolemy apply to improve his models of planetary motion?

Pythagorean TheoremLaw of SinesLaw of CosinesBasic Triangle Inequality

Assessment

What was the primary purpose of utilizing Pythagorean methods in Ptolemy's geocentric models?

Which geometrical shape did Ptolemy utilize in his geocentric model to describe the orbit of planets?

Which principle related to triangles did Ptolemy apply to improve his models of planetary motion?