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Beautiful geometry /

"If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patt...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Maor, Eli (Autor), Jost, Eugen, 1950- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, [2014]
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.