## Great Moments in Mathematics (before 1650)An inclusive look at pre-1650 mathematics, this collection of lectures covers discoveries by Pythagoras, Euclid, Archimedes, Ptolemy, Diophantus, Omar Khayyam, Fibonacci, Napier, Galileo, Kepler, Cavalieri and more. |

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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 |

LECTURE SEVEN First steps in organizing mathematics | 62 |

LECTURE NINE The thinker and the thug | 83 |

LECTURE ELEVEN The first great number theorist | 110 |

LECTURE TWELVE The syncopation of algebra | 126 |

### Common terms and phrases

abacus algebra algorithm altitude analytic geometry ancient angle Archimedes arithmetic base Book Cavalieri century chord circle circular club compasses computing congruent construction counters cube cubic equation curve cylinder denote Descartes digit Diophantus divides divisor ellipse equal established Euclid's Elements Euclidean Eudoxian Fermat Fibonacci Figure formula Further Reading given golden ratio Greek Hindu Hindu-Arabic numeral system history of mathematics hypotenuse integers irrational number Kepler known later lecture legs length Liber abaci line segment logarithms mathematician method MOMENTS IN MATHEMATICS multiplication Napier obtain original pair parallel perfect numbers plane polygon positive integers 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 square straightedge symbols tangent tetrahedron tion trisection vertex volume whence