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one mathematics in ancient civilizations
two the mathematics of the Greeks
three axiom systems
24 other sections not shown
absolute geometry Acute Angle Hypothesis algebraic analytic geometry applied approximations Arents Research Library axiom system Babylonians calculus called century chapter circle coefficients complex numbers computations congruent conic sections consider constructed contain continued fraction Cramer's Rule cubic equation curves Dedekind defined definition Desargues developed distance divides element Euclid's Euclidean Algorithm Euclidean geometry exactly Example fact factor Fermat fifth postulate formulas Fundamental Theorem Gauss George Arents Research given point graph Greeks integral intersect inverse Investigate irrational numbers isometry mapping mathematicians mathematics matrix method method of exhaustion multiplication natural numbers notation obtained parabola parallel lines parallel postulate permutations plane polynomial equations possible problem procedure projective geometry proof properties proved Pythagorean quotient rational numbers real number system remainder right angles Saccheri quadrilateral segment of length sequence set of axioms similar slope solutions solve statements straight line subsets tangent techniques transformation triangle undefined terms zero