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discovered minor inequalities which could
be allowed for by the addition of new epicy-
cles. We may look upon these epicycles of
Apollonius, and the excentric of Hipparchus,
as the responses of these astronomers to the
demand of Plato for uniform circular mo-
tions. Their use became more and more
confirmed, until the seventeenth century, when
the accurate observations of Tycho Brahe
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