Apollonius Of Perga

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Term Paper Title	Apollonius Of Perga
# of Words	605
# of Pages (250 words per page double spaced)	2.42

Apollonius of Perga

Apollonius of Perga

     Apollonius was a great mathematician, known by his contempories as " The
Great Geometer, " whose treatise Conics is one of the greatest scientific works
from the ancient world. Most of his other treatise were lost, although their
titles and a general indication of their contents were passed on by later
writers, especially Pappus of Alexandria.

     As a youth Apollonius studied in Alexandria ( under the pupils of Euclid,
according to Pappus ) and subsequently taught at the university there.  He
visited Pergamum, capital of a Hellenistic kingdom in western Anatolia, where a
university and library similar to those in Alexandria had recently been built.
While at Pergamum he met Eudemus and Attaluus, and he wrote the first edition of
Conics.  He addressed the prefaces of the first three books of the final edition
to  Eudemus and the remaining volumes to Attalus, whom some scholars identify as
King Attalus I of Pergamum.

     It is clear from Apollonius' allusion to Euclid, Conon of Samos, and
Nicoteles of Cyrene that he made the fullest use of his predecessors' works.
Book 1-4 contain a systematic account of the essential principles of conics,
which for the most part had been previously set forth by Euclid, Aristaeus and
Menaechmus.  A number of theorems in Book 3 and the greater part of Book 4 are
new, however, and he introduced the terms parabola, eelipse, and hyperbola.
Books 5-7 are clearly original.  His genius takes its highest flight  in Book 5,
in which he considers normals as minimum and maximum straight lines drawn from
given points to the curve ( independently of tangent properties ), discusses how
many normals can be drawn from particular points, finds their feet by
construction, and gives propositions determining the center of curvature at any
points and leading at once to the Cartesian equation of the evolute of any conic.

     The first four books of the Conics survive in the original Grrek and the
next three in Arabic translation.  Book 8 is lost...

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