MS2013 Assignment – Test 1 Make-Up.
Completing this assignment may earn you up to 50% to Test 1 mark (depending on the quality of your answers).
1. Euclid’s parallel axiom. Write a short essay about Euclid’s parallel axiom (also known as Euclid’s fifth postulate, or parallel postulate). Your essay should address these items:
a) What is the difference between a Definition, an Axiom and a Theorem?
b) Statement of Euclid’s Parallel Axiom in its original formulation or a more modern form;
c) Some Historical background on the development of Euclidean geometry.
d) Non-Euclidean geometries (Elliptic Geometry, Hyperbolic Geometry): in which aspect(s) do they differ from Euclidean geometry?
e) (Optional) Projective geometry: How does it differ from Euclidean geometry?
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