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.

• Functional Derivative
• Function Field
• Function Space
• Functor
• Fundamental Class
• Fundamental Continuity Theorem
• Fundamental Discriminant
• Fundamental Forms
• Fundamental Group
• Fundamental Homology Class
• Fundamental Lemma of Calculus of Variations
• Fundamental System
• Fundamental Theorem of Algebra
• Fundamental Theorem of Arithmetic
• Fundamental Theorem of Curves
• Fundamental Theorem of Directly Similar Figures
• Fundamental Theorem of Gaussian Quadrature
• Fundamental Theorem of Genera
• Fundamental Theorem of Plane Curves
• Fundamental Theorem of Projective Geometry
• Fundamental Theorem of Space Curves
• Fundamental Theorem of Symmetric Functions
• Fundamental Theorems of Calculus
• Fundamental Unit
• Funnel