دانلود کتاب Beautiful Geometry

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Contents\nPrefaces. Art through Mathematical Eyes\n1. Thales of Miletus\n2. Triangles of Equal Area\n3. Quadrilaterals\n4. Perfect Numbers and Triangular Numbers\n5. The Pythagorean Theorem I\n6. The Pythagorean Theorem II\n7. Pythagorean Triples\n8. The Square Root of 2\n9. A Repertoire of Means\n10. More about Means\n11. Two Theorems from Euclid\n12. Different, yet the Same\n13. One Theorem, Three Proofs\n14. The Prime Numbers\n15. Two Prime Mysteries\n16. 0.999. . . = ?\n17. Eleven\n18. Euclidean Constructions\n19. Hexagons\n20. Fibonacci Numbers\n21. The Golden Ratio\n22. The Pentagon\n23. The 17-Sided Regular Polygon\n24. Fifty\n25. Doubling the Cube\n26. Squaring the Circle\n27. Archimedes Measures the Circle\n28. The Digit Hunters\n29. Conics\n30. 3/3=4/4\n31. The Harmonic Series\n32. Ceva’s Theorem\n33. e\n34. Spira Mirabilis\n35. The Cycloid\n36. Epicycloids and Hypocycloids\n37. The Euler Line\n38. Inversion\n39. Steiner’s Porism\n40. Line Designs\n41. The French Connection\n42. The Audible Made Visible\n43. Lissajous Figures\n44. Symmetry I\n45. Symmetry II\n46. The Reuleaux Triangle\n47. Pick’s Theorem\n48. Morley’s Theorem\n49. The Snowflake Curve\n50. Sierpinski’s Triangle\n51. Beyond Infinity\nAppendix: Proofs of Selected Theorems Mentioned in This Book\nBibliography\nIndex