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A. L. Cauchy algebra analysis analytical angles applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli C. G. J. Jacobi calculus calculus of variations called Cambridge Cantor Cayley century circle coefficients conic contains convergent cubic curve Descartes determine developed differential equations Diophantus discovery edition Euclid Euler Fermat finite fluxions formula fractions functions gave geometry given gives Greek groups Hindu infinite integral invention investigations J. J. Sylvester Johann Bernoulli K. F. Gauss known Lagrange later Leibniz Leipzig linear logarithms magic squares Math mathematicians mathematics matics memoir method motion N. H. Abel Newton notation P. G. Tait P. S. Laplace Paris plane principle problem professor proof proved published Pythagorean quadratic quadrature researches Riemann roots sexagesimal solution solved square surface symbols synthetic geometry tangents theorem theory of numbers tion treatise triangle trigonometry University variables Weierstrass writings wrote