philosophers of Mesopotamia must have sought eagerly for evidence of
fresh periodic laws. Certain of the stars, which appeared to wander, and
were hence called planets, provided an extended field for these
speculations. Among the Chaldaeans and Babylonians the knowledge
gradually acquired was probably confined to the priests and utilised
mainly for astrological prediction or the fixing of religious
observances. Such speculations as were current among them, and also
among the Egyptians and others who came to share their knowledge, were
almost entirely devoted to mythology, assigning fanciful terrestrial
origins to constellations, with occasional controversies as to how the
earth is supported in space. The Greeks, too, had an elaborate mythology
largely adapted from their neighbours, but they were not satisfied with
this, and made persistent attempts to reduce the apparent motions of
celestial objects to geometrical laws. Some of the Pythagoreans, if not
Pythagoras himself, held that the earth is a sphere, and that the
apparent daily revolution of the sun and stars is really due to a motion
of the earth, though at first this motion of the earth was not supposed
to be one of rotation about an axis. These notions, and also that the
planets on the whole move round from west to east with reference to the
stars, were made known to a larger circle through the writings of Plato.
To Plato moreover is attributed the challenge to astronomers to
represent all the motions of the heavenly bodies by uniformly described
circles, a challenge generally held responsible for a vast amount of
wasted effort, and the postponement, for many centuries, of real
progress. Eudoxus of Cnidus, endeavouring to account for the fact that
the planets, during every apparent revolution round the earth, come to
rest twice, and in the shorter interval between these "stationary
points," move in the opposite direction, found that he could represent
the phenomena fairly well by a system of concentric spheres, each
rotating with its own velocity, and carrying its own particular planet