Friday, November 19, 2010

Thursday, November 18, 2010

The Fundamentals of geometry

we describe our world geometrically using planes, angles, lines, segments, points and rays. here are there definitions.

Euclidean gometry and its reationship to paralell lines

Our definition of parallel lines greatly effects our understanding of euclidean geometry. Euclidean geometry allows us to define things using certain postulates and others as theorems. this allows us to better identify lines intersecting parallel lines.

formal logic

formal logic intersects with geometry in more ways than we would think. when making a proof in mathematics, formal logic and common knowledge are your two greatest tools. the idea that P->Q if Q-P is the best example of formal logic. this type of logic intersects with geometry in a big way.