While the Inca often tolerated or incorporated the religions of their conquered ayllus they also imposed a state religion upon them. The Inca empire was a theocracy in which the Inca king, Sapa Inca, was the descendant of Inti, the sun god. The Inca required tribute, especially before and after battle, to certain gods. Regular and general festivals punctuated the labors of the empire's subjects with food drink and entertainments. Inti Raymi, the festival of the sun god, lasted nine nights, during which Sapa Inca would provide Aqhachicha, a maize beer, to first Inti, then himself, then the nobles, and finally to all people who attended.

Claudius Ptolemy

Although the basic tenets of Greek geocentrism were established by the time of Aristotle, the details of his system did not become standard. This honor was reserved for the Ptolemaic system, espoused by the Hellenistic astronomer Claudius Ptolemaeus in the 2nd century AD. His main astronomical book, the Almagest, was the culmination of centuries of work by Hellenic, Hellenistic and Babylonian astronomers; it was accepted for over a millennium as the correct cosmological model by European and Islamic astronomers. Because of its influence, the Ptolemaic system is sometimes considered identical with the geocentric model.

. From his estimates, he concluded that the Sun was six to seven times wider than the Earth and thus hundreds of times more voluminous