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algebra American Mathematical Society analytic geometry angle arithmetic base Cauchy chapter circle coefficients College complete complex numbers congruence consecutive residues corresponding course D'Alembert definition derivative differential equation discussion edition elementary engineering equal errors Euler exponential exponents expression factor Florian Cajori formula fractions function G. A. Miller given gives group of degree group theory Hence high school hyperbola imaginary interest isogonal conjugates John Bernoulli journal L. C. Karpinski L. E. Dickson languages large number Leibniz letter logarithmic curve logarithmic derivative logarithms of negative mathe mathematicians matics meeting methods modulus negative numbers notation obtained pair paper plane positive number problems Professor projective geometry proof Proposed published question solution solved square student substitution synthetic geometry teachers of mathematics teaching theorem topic trigonometry University of Chicago values vigesimal volume zero