Beautiful geometry, Eli Maor and Eugen Jost

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Name: Beautiful geometry, Eli Maor and Eugen Jost
ISBN: 9780691150994

The Resource Beautiful geometry, Eli Maor and Eugen Jost

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Bibliography note: Includes bibliographical references (pages [183]-184) and index

Contents: Thales of Miletus -- Triangles of Equal Area -- Quadrilaterals -- Perfect Numbers and Triangular Numbers -- The Pythagorean Theorem I -- The Pythagorean Theorem II -- Pythagorean Triples -- The Square Root of 2 -- A Repertoire of Means -- More about Means -- Two Theorems from Euclid -- Different, yet the Same -- One Theorem, Three Proofs -- The Prime Numbers -- Two Prime Mysteries -- 0.999 -- Eleven -- Euclidean Constructions -- Hexagons -- Fibonacci Numbers -- The Golden Ratio -- The Pentagon -- The 17-Sided Regular Polygon -- Fifty -- Doubling the Cube -- Squaring the Circle -- Archimedes Measures the Circle -- The Digit Hunters -- Conics -- 3/3 = 4/4 -- The Harmonic Series -- Ceva's Theorem -- e -- Spira Mirabilis -- The Cycloid -- Epicycloids and Hypocycloids -- The Euler Line -- Inversion -- Steiner's Porism -- Line Designs -- The French Connection -- The Audible Made Visible -- Lissajous Figures -- Symmetry I -- Symmetry II -- The Reuleaux Triangle -- Pick's Theorem -- Morley's Theorem -- The Snowflake Curve -- Sierpinski's Triangle -- Beyond Infinity -- Appendix: Proofs of Selected Theorems Mentioned in This Book

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