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Williams |
Our present concern
is with that first wonderful development of scientific activity which began
under the first Ptolemy, and which presents, in the course of the first
century of Alexandrian influence, the most remarkable coterie of scientific
workers and thinkers that antiquity produced. The earliest group of these
new leaders in science had at its head a man whose name has been a household
word ever since. This was Euclid, the father of systematic geometry. Tradition
has preserved to us but little of the personality of this remarkable teacher;
but, on the other hand, his most important work has come down to us in
its entirety. The Elements of Geometry, with which the name of Euclid is
associated in the mind of every school-boy, presented the chief propositions
of its subject in so simple and logical a form that the work remained a
textbook everywhere for more than two thousand years. Indeed it is only
now beginning to be superseded. It is not twenty years since English mathematicians
could deplore the fact that, despite certain rather obvious defects of
the work of Euclid, no better textbook than this was available. Euclid's
work, of course, gives expression to much knowledge that did not originate
with him. We have already seen that several important propositions of geometry
had been developed by Thales, and one by Pythagoras, and that the rudiments
of the subject were at least as old as Egyptian civilization. Precisely
how much Euclid added through his own investigations cannot be ascertained.
It seems probable that he was a diffuser of knowledge rather than an originator,
but as a great teacher his fame is secure. He is credited with an epigram
which in itself might insure him perpetuity of fame: "There is no royal
road to geometry," was his answer to Ptolemy when that ruler had questioned
whether the Elements might not be simplified. Doubtless this, like most
similar good sayings, is apocryphal; but whoever invented it has made the
world his debtor. |
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