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PHILOSOPHY

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Dear HP

Monday 22nd August

Clemency Montelle (Canterbury)

"Hypsicles of Alexandria and his "little" work on rising times".



The determination of rising times for the twelve zodiacal signs
at a given terrestrial latitude was a challenge for ancient
mathematicians and astronomers and many attempts to model these
were proposed in antiquity based on the leading mathematical
theories and techniques ofthe day.  An important early approach
was put forth by the Alexandrianmathematician Hypsicles (fl. ca.
first half of second century BCE)in a work called the
Anaphorica who based his solution on the assumption that rising
times increase and decrease strictly linearlywith constant
difference. Indeed, in an era when the overwhelmingsuccess of
Ptolemy's mathematical  Syntaxis ensured the redundancy ofalmost
all works that predated it, Hypsicles's work is not
onlysignificant because of the fact that it is a rare glimpse
into earlyGreek mathematical astronomy but also because it
invokes some elegantarithmetical mathematical lemmas to solve a
practical problem in ascene that was dominated by geometrical
ways of thinking.

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