Exploration of non-Euclidean Geometries
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Definition
Geometry by definition is a branch of math that deals with the relation of shapes, angles, lines, and such.
Euclidean geometry, is specific, is a form of geometry that follows all of Euclid's postulates and propositions.
Euclidean geometry, is specific, is a form of geometry that follows all of Euclid's postulates and propositions.
Methods & Results
For exploring Euclidean geometry I explored Euclid's first book, by rewriting Euclid's propositions and postulates in a more modern language. Then applied these rewordings to the other geometries. The rewordings and explorations of the general definitions of shapes became the results for this section. The rewordings can be found in the tabs below.