Hilbert's Axioms
The 21 assumptions which underlie the Hilbert's 
classic text Grundlagen der Geometrie. The eight Incidence Axioms concern collinearity and intersection and include the firstof Euclid's Postulates. The four Ordering Axioms concern the arrangement of points, the fiveCongruence Axioms concern geometric equivalence, and the three Continuity Axioms concern continuity. Thereis also a single parallel axiom equivalent to Euclid's Parallel Postulate.
References
Hilbert, D. The Foundations of Geometry, 2nd ed. Chicago, IL: Open Court, 1980. Iyanaga, S. and Kawada, Y. (Eds.). ``Hilbert's System of Axioms.'' §163B in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 544-545, 1980.
- Bachelier Function
- Bachet Equation
- Bachet's Conjecture
- Backhouse's Constant
- Backtracking
- Backus-Gilbert Method
- Backward Difference
- Bader-Deuflhard Method
- Baguenaudier
- Bailey's Method
- Bailey's Theorem
- Baire Category Theorem
- Baire Space
- Bairstow's Method
- Baker's Dozen
- Baker's Map
- Balanced ANOVA
- Balanced Incomplete Block Design
- B*-Algebra
- Ball
- Ballantine
- Ballieu's Theorem
- Ballot Problem
- Ball Triangle Picking
- Banach Algebra