## A history of mathematics: from antiquity to the beginning of the nineteenth century |

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### Contents

Mathematics in Antiquity | 1 |

The Beginnings of Greek Mathematics | 13 |

The Invention of Trigonometry | 44 |

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Academy algebra Apollonius appeared Archimedes Arithmetica arithmetical astronomy Babylonians Bernoulli Bhaskara binomial theorem Brahmagupta calculus calculus of variations Cardan century a.d. chord circle circumference coefficients compiled conic conic sections contains contributions cube cubic cubic equations curve decimal denote Descartes determination diameter differential Diophantus discovery Egyptians elliptic elliptic functions enunciated equal Euclid Euler Fermat figures Fluxions fractions functions Gauss geometry given Greek Hindu hyperbola important indeterminate equations infinite integral interest invention Lagrange large number later learning Leibniz length logarithms mathe mathematician mechanics memoirs method motion multiplied negative Nevertheless Newton notation period plane polygon prime principles problems Professor of Mathematics proportion Ptolemy quadratic equations quadratic residue quadrature quantities radius ratio right angles rule showed side sines solution solved square number square root straight line symbol tangent theorem theory of numbers treatise triangle trigonometry Wallis whole number writings wrote