## Great Moments in Mathematics Before 1650 |

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### Contents

lecture two The greatest Egyptian pyramid | 8 |

lecture four The first great theorem | 26 |

lecture five Precipitation of the first crisis | 43 |

Copyright | |

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### Common terms and phrases

abacus algebra algorithm altitude analytic geometry ancient angle Archimedes arithmetic base Book cardinal number Cavalieri century chord circle circular compasses computing congruent construction counters cube cubic equation curve cylinder decimal expansion Descartes digit Diophantus divides divisor ellipse equal Euclid's Elements Eudoxian Fermat Fibonacci Figure formula Further Reading given golden ratio Greek Hindu Hindu-Arabic numeral system HOWARD EVES hypotenuse integers irrational number Kepler known later lecture legs length Liber abaci line segment logarithms mathematician method moments in mathematics multiplication Napier obtain pair parallel perfect numbers plane polygon positive integers prime number problem proof proposition Prove Ptolemy's theorem pyramid Pythagorean theorem Pythagorean triple quadratic quadrilateral quartic equation radius rational number relatively prime right triangle roots sequence Show side solid solution solve sphere spherical straightedge symbols tangent tetrahedron tion triangle ABC trigonometric trisection vertex volume whence