Proclus' Axiom

If a line intersects one of two parallel lines, it must intersect the other also. This Axiom is equivalentto 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.

• Hill Determinant
• Hill's Differential Equation
• Hindu Check
• Hinge
• Hippias' Quadratrix
• Hippopede
• Hi-Q
• Histogram
• Hitch
• Hitting Set
• Hjelmslev's Theorem
• HJLS Algorithm
• HK Integral
• Hodge Star
• Hodge's Theorem
• Hoehn's Theorem
• Hoffman-Singleton Graph
• Hoffman's Minimal Surface
• Hofstadter-Conway $10,000 Sequence
• Hofstadter Figure-Figure Sequence
• Hofstadter G-Sequence
• Hofstadter H-Sequence
• Hofstadter Male-Female Sequences
• Hofstadter Point
• Hofstadter Sequences