## Studies in the history of mathematics |

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### Contents

INTRODUCTION | 1 |

NONEUCLIDEAN GEOMETRY | 21 |

THE DISCOVERY OF NONEUCLIDEAN GEOMETRY | 37 |

Copyright | |

7 other sections not shown

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### Common terms and phrases

adjoint algebraic algorithm axiom system axiomatic Berlin Bieberbach Bolyai Brouwer calculating called Castelnuovo complete concept correspondence curvature curve Dedekind defined degree Deutsche dimension Dirichlet divisors domain edited EDVAC ENIAC Enriques Entscheidungsproblem Euclidean Euclidean geometry Euler example finite first-order logic formal formula foundations Fourier Frege functions Gauss German Goldstine Gottingen Hilbert ideal ideas infinitary infinite integral invariance investigations John von Neumann Journal Killing Killing's Klein Kronecker Kummer later lecture Leipzig letter linear system Liouville Lobachevskii Lowenheim manifold mapping mathe mathematicians Mathematik Mathematische Annalen methods modern non-Euclidean geometry notion number theory one-one paper parallel postulate partial differential equations Peano Peirce plane postulate problem proof proposition proved published quantifiers quintuples real numbers Reprinted Riemann Schoenflies Schroder second-order logic separation of variables set theory Skolem solution space sphere surface symbols theorem tion topology transformation Turing machine Turing's Uber University variables vector fields Volume Weierstrass