MATH 348: Assignment 1 (final version)Leonid ChindelevitchJuly 11, 20081. 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:ThalesPythagorasEuclidKhayyamArchimedesLiu HuiDesarguesDescartesFermatHypatiaLobachevskiGaussComment:I expect roughly 1 double-sided handwritten page or 1.5single-sided double-spaced typewritten pages.Please use at least threedifferent references (books, articles, webpages); provide a list of the refer-ences you have used.2. Prove (Euclid-style) 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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