## Mathematical gems, Volume 1 |

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### Contents

CHAPTER PAGE 1 An Old Chinese Theorem and Pierre De Fermat | 1 |

Louis Psa | 10 |

Equilateral Triangles | 22 |

Copyright | |

12 other sections not shown

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### Common terms and phrases

A-biangle A-curve a„+i AABC Accordingly angle cell circle with center circumcircle COMBINATORICS composite number congruent Consequently contains convex corners curve denote the number diagonals diameter divides divisible dominoes equal equation equilateral triangle Erdos exactly n lattice Fermat point follows Further Reading given triangle giving graph G Hamiltonian circuit Hamiltonian path hexagon implying infinite infinity integers intersection joined Kozyrev-Grinberg lattice points mathe mathematician mathematics n-gon Napoleon's Theorem natural number number of edges number of regions number of vertices number theory obtain occur odd number odd prime outer P6sa pair parallel pentagon perfect numbers perpendicular planar graph plane polygon positive integer Poulet number prime decomposition prime number problem proof Prove pseudoprime quasiperfect radius rectangle References and Further relatively prime result semiperfect sequence side Similarly solution square subtends super-Poulet Suppose tonian triangle ABC trisectors valence vertex Viviani's theorem