Line-segment multiples can have greater length than any line segment {Archimedes axiom, line} {axiom of Archimedes, line}.
Plane-geometry axioms {Euclid's twelfth axiom} {Euclid twelfth axiom} can claim that parallel lines exist.
One and only one straight line through a point not on another straight line does not intersect second straight line {parallel postulate}|.
Euclid's twelfth axiom can be simpler {Playfair's axiom} {Playfair axiom}. Through any point, only one line can be parallel to fixed line. Given straight line and exterior point, only one straight line is parallel to the line.
Outline of Knowledge Database Home Page
Description of Outline of Knowledge Database
Date Modified: 2022.0225