MATH 348: Assignment 1 (final version)
Leonid Chindelevitch
July 11, 2008
1. Choose a geometer you are interested in and write a brief biography ex
plaining their contribution to the geometry of their time.
Some possibilities to get you started:
Thales
Pythagoras
Euclid
Khayyam
Archimedes
Liu Hui
Desargues
Descartes
Fermat
Hypatia
Lobachevski
Gauss
Comment:
I expect roughly 1 doublesided handwritten page or 1.5
singlesided doublespaced typewritten pages.
Please use at least three
different references (books, articles, webpages); provide a list of the refer
ences you have used.
2. Prove (Euclidstyle) or disprove (by providing a counterexample) the fol
lowing criteria for equality of triangles:
1)
a
=
a , b
=
b , α
=
α
;
2)
a
=
a , b
=
b , c
=
c
;
3)
α
=
α , β
=
β , γ
=
γ
;
4)
α
=
α , β
=
β , c
=
c
.
Comment:
For statements which are true, make sure to clearly state
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 Summer '06
 Karigiannis
 Geometry, α, singlesided doublespaced typewritten, doublesided handwritten page, Khayyam Archimedes Liu Hui

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