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Topic:
[HM] L'Hopital, Pythagoras, Ptolemy and Hilbert
Replies:
25
Last Post:
Jul 19, 2000 9:37 PM




Re: [HM] L'Hopital, Pythagoras, Ptolemy and Hilbert
Posted:
Mar 19, 2000 8:29 AM


Andrew Bowering wrote (in part):
> I am in my final year of a degree course in Mathematics and in need of > big help. I have noticed the wealth of knowledge out there amongst > you but now I need to tap into this knowledge. Firstly I need some > examples of results which are not named after the people who derived > them  ie  L'Hopital's rule, found by his tutor Johann Bernoulli.
Dear Andrew,
Following are a few examples from Euclidean Geometry:
1. Apollonian Circle:
This circle as locusproposition appeared first in Aristotle, Meteor. III. 5.375b16  376b12
Reference: Thomas Heath: Mathematics in Aristotle. Bristol: Thoemmes Press, 1998, pp. 181ff.
2. On the Lemoine Point a.k.a. Grebe Point:
See the HM thred "Grebe":
http://forum.swarthmore.edu/epigone/historia_matematica/phelchosneh/
3. On the Feuerbach Circle a.k.a. Euler Circle:
See the HM thread "Benjamin Bevan's Problem":
http://forum.swarthmore.edu/epigone/historia_matematica/foxkhowhil
Good Luck!
Antreas



