Re: History of trigonometry
- From: "Nick" <tulse04-news1@xxxxxxxxxxx>
- Date: Wed, 3 Jan 2007 01:35:37 -0000
"Ken Pledger" <ken.pledger@xxxxxxxxxxxxx> wrote in message
news:ken.pledger-E6DD48.11304703012007@xxxxxxxxxxxxxxxxxxxxx
In article
<2386070.1166882761600.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
zeros <nimzeros@xxxxxxxxx> wrote:
....
When did someone define the sine of an angle greater than 90 degrees?
I think this may be happened in 17c. But I can't find any record about my
question....
It's an interesting question, which most popular historians of
mathematics scarcely mention.
In fact, http://www-history.mcs.st-andrews.ac.uk/Biographies/Euler.html says
that:
"He made large bounds forward in the study of modern analytic geometry and
trigonometry where he was the first to consider sin, cos etc. as functions
rather than as chords as Ptolemy had done."
http://www-history.mcs.st-andrews.ac.uk/HistTopics/Trigonometric_functions.html#76
says that:
"The first actual appearance of the sine of an angle appears in the work of
the Hindus."
"Chapters of Copernicus's book giving all the trigonometry relevant to
astronomy was published in 1542 by Rheticus. Rheticus also produced
substantial tables of sines and cosines which were published after his
death. In 1533 Regiomontanus's work De triangulis omnimodis was published.
This contained work on planar and spherical trigonometry originally done
much earlier in about 1464. The book is particularly strong on the sine and
its inverse."
See reference for more.
Nick
.
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