## A long way from Euclid |

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### Contents

The Golden Knot in the Golden | 1 |

Nothing Intricately Drawn Nowhere | 16 |

The Inexhaustible Storehouse | 42 |

Copyright | |

1 other sections not shown

### Common terms and phrases

3-dimensional analytic geometry angle arithmetic assumptions axioms begin bers called Cantor cardinal number century circle circumference complex numbers concept of number congruent construction coordinate cube decimal defined definition denumerable infinity Desargues determine distance divide Elements equal Euclid Euclidean geometry fact figure finite number Gauss Georg Cantor given Greeks Hilbert hypotenuse infinite class integers irrational numbers Jordan Curve Theorem logical mathe mathematicians mathematics matics ment method multiplied natural numbers negative numbers never non-denumerable infinity non-Euclidean geometry number line one-to-one correspondence original parallel lines placed in one-to-one plane point sets positive integers possible postulate problem projective geometry proof proved Pythagoras Pythagorean Quadratic Reciprocity rational numbers reader real numbers rectangles represented right triangle rotation segment sentence sentential calculus sides simple closed curve solve sphere square root Square Theorem statement straight line straightedge and compass surface symbol tetrahedron theory tion topology trisect true truth tables unit whole numbers