Alternative-Parallel-Postulates

Alternative-Parallel-Postulates - Alt 2) there is exactly...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
The Three Alternatives for a Parallel Postulate (P.P.) Given a line l and a point P not on line l , . . . Angle Sum Alternative Postulate Completion Type in a Triangle A Model Alt 1) there is no line through Elliptic P.P. Greater than 180 ° The Surface of P and parallel to l . a Sphere
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Alt 2) there is exactly one Euclidean P.P. Equal to 180 The Cartesian line through P and (EPP) X,Y Coordinate parallel to l . System Alt 3) there are 2 or more Hyperbolic P.P. Less than 180 The Poincare lines through P and Half-Plane Model parallel to l ....
View Full Document

This note was uploaded on 11/02/2010 for the course MATH modern geo taught by Professor Shirley during the Spring '10 term at University of Texas at Austin.

Ask a homework question - tutors are online