Playfair's Axiom

Through any point in space, there is exactly one straight line Parallel to a given straight line. This Axiom isequivalent to the Parallel Axiom.

References

Dunham, W. ``Hippocrates' Quadrature of the Lune.'' Ch. 1 in Journey Through Genius: The Great Theorems of Mathematics. New York: Wiley, p. 54, 1990.

• Schur's Representation Lemma
• Schur's Theorem
• Schwarzian Derivative
• Schwarz-Pick Lemma
• Schwarz Reflection Principle
• Schwarz's Inequality
• Schwarz's Triangle Problem
• Schwarz Triangle
• Schwenk's Formula
• Schönflies Symbol
• Schönflies Theorem
• Scientific Notation
• s-Cluster
• Score Sequence
• Screw
• Screw Theorem
• Scruple
• Sea Horse Valley
• Searching
• Search Tree
• Seashell
• Secant
• Secant Line
• Secant Method
• Secant Number