Göttingen Collection of Mathematical Models and Instruments

Proof for the equality of excentric and epicycle movement

Model 463

Proof for the equality of excentric and epicycle movement
Constructor:Category:
Otto NeugebauerD I 68; M VII 2

Description

Proof for the equality of excentric and epicycle movement for the illustration of the sun movement according to Ptolemäus explanation: Red slice: sun parallelogram diagonal (feather): ray earth-sun angular velocity of the sun at the epicycle antipodal identical to the angular velocity of the circulation of the epicycle center.

Showcase of this model is Case number U 54

References

Ptolemäus. Almagest, 3rd book, chapter 3.