Wild Trig - An Introduction to Rational Trigonometry

Wild Trig - An Introduction to Rational Trigonometry

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Why Trig is Hard | WildTrig: Intro to Rational Trigonometry | N J Wildberger

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Why Trig is Hard | WildTrig: Intro to Rational Trigonometry | N J Wildberger

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Wild Trig - An Introduction to Rational Trigonometry

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  1. 1 Why Trig is Hard | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  2. 2 Quadrance via Pythagoras and Archimedes | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  3. 3 Spread, Angles and Astronomy | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  4. 4 Five Main Laws of Rational Trigonometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  5. 5 Applications of Rational Trigonometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  6. 6 Heron's Formula Viewed Rationally | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  7. 7 Solving Triangles with Rational Trigonometry | WildTrig: Intro to Rational Trigonometry
  8. 8 Centers of Triangles with Rational Trigonometry | WildTrig: Intro to Rational Trigonometry
  9. 9 Laws of Proportion for a Triangle | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  10. 10 Geometry of Circles with Rational Trigonometry | WildTrig: Intro to Rational Trigonometry
  11. 11 Applications of rational trig to surveying (I) | WildTrig | N J Wildberger
  12. 12 Cartesian coordinates and geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  13. 13 Why spreads are better than angles | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  14. 14 Rational parameters for circles | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  15. 15 Complex numbers and rotations | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  16. 16 Rational Trigonometry Quiz 1 | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  17. 17 An Invitation to Geometry | WildTrig: Intro to Rational Trigonometry 0 | N J Wildberger
  18. 18 Rational trigonometry: Solutions to Quiz (1) WildTrig: Intro to Rational Trigonometry
  19. 19 Medians, altitudes and vertex bisectors | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  20. 20 Trigonometry with finite fields (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  21. 21 Trigonometry with Finite Fields (II) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  22. 22 Trigonometry with Finite Fields (III) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  23. 23 Highlights from triangle geometry (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  24. 24 Highlights from triangle geometry (II) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  25. 25 Spread polynomials | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  26. 26 Pentagons and five-fold symmetry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  27. 27 Applications of rational trig to surveying (II) | WildTrig: Intro to Rational Trigonometry
  28. 28 Stewart's theorem | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  29. 29 What size ladder fits around a corner? | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  30. 30 Trisecting angles and Hadley's theorem | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  31. 31 Polar coordinates and rational trigonometry | WildTrig: Intro to Rational Trigonometry
  32. 32 Introduction to Projective Geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  33. 33 Projective geometry and perspective | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  34. 34 Projective geometry and homogeneous coordinates | WildTrig: Intro to Rational Trigonometry
  35. 35 Lines and planes in projective geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  36. 36 Affine geometry and barycentric coordinates | WildTrig: Intro to Rational Trigonometry
  37. 37 The cross ratio | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  38. 38 More about the cross ratio | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  39. 39 Affine geometry and vectors | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  40. 40 The fundamental theorem of projective geometry | WildTrig: Intro to Rational Trigonometry
  41. 41 Harmonic ranges and pencils | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  42. 42 Conics via projective geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  43. 43 How to learn mathematics | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  44. 44 An algebraic framework for rational trigonometry (II) | WildTrig: Intro to Rational Trigonometry
  45. 45 An algebraic framework for rational trigonometry (I) | WildTrig: Intro to Rational Trigonometry
  46. 46 Einstein's special relativity: an introduction | WildTrig: Intro to Rational Trigonometry
  47. 47 Red geometry (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  48. 48 Red geometry (II) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  49. 49 Red geometry (III) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  50. 50 Circles in red geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  51. 51 Green geometry (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  52. 52 Green geometry (II) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  53. 53 Pythagorean triples | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  54. 54 Chromogeometry and Euler lines | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  55. 55 An introduction to chromogeometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  56. 56 Chromogeometry and the Omega triangle | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  57. 57 Chromogeometry and nine-point circles | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  58. 58 Proofs in chromogeometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  59. 59 Triangle spread rules | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  60. 60 Triangle spread rules in action | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  61. 61 Acute and obtuse triangles | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  62. 62 Proofs of the Triangle spread rules | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  63. 63 Rational trigonometry Quiz (#2) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  64. 64 Hints for solutions to Quiz (#2) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  65. 65 The 6-7-8 triangle | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  66. 66 Barycentric coordinates and the 6-7-8 triangle | WildTrig: Intro to Rational Trigonometry
  67. 67 Squares in a pentagon | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  68. 68 Trisecting a right triangle | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  69. 69 Euler's Four Point Relation | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  70. 70 What is geometry really about? | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  71. 71 Determinants in geometry (II) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  72. 72 Determinants in geometry (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  73. 73 Determinants in Geometry (III) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  74. 74 Spreads, determinants and chromogeometry (I) | WildTrig: Intro to Rational Trigonometry
  75. 75 Spreads, determinants and chromogeometry (II) | WildTrig: Intro to Rational Trigonometry
  76. 76 Spreads, determinants and chromogeometry (III) | WildTrig: Intro to Rational Trigonometry
  77. 77 Coloured spreads and generalizations (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  78. 78 Coloured spreads and generalizations (II) | WildTrig: Intro to Rational Trigonometry
  79. 79 Geometry with a general dot product | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  80. 80 The general rational laws of trigonometry | WildTrig: Intro to Rational Trigonometry
  81. 81 Maths education and rational trigonometry (I) | WildTrig: Intro to Rational Trigonometry
  82. 82 Rheticus and 17th century trig tables | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  83. 83 Maths Education and Rational Trigonometry (II) | WildTrig: Intro to Rational Trigonometry
  84. 84 Maths Education and Rational Trigonometry (III) | WildTrig: Intro to Rational Trigonometry
  85. 85 Rational trigonometry and mathematics education (IV) | WildTrig: Intro to Rational Trigonometry
  86. 86 The true role of the circular functions | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  87. 87 Understanding uniform motion: are radians really necessary? | WildTrig
  88. 88 Turn angles, continued fractions and approximate geometry | WildTrig: Intro to Rational Trigonometry
  89. 89 Isometry groups in planar geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
  90. 90 The Euclidean rotation group and complex number multiplication | WildTrig
  91. 91 The geometry of Euclidean reflections and rotations (grounded!) | WildTrig
  92. 92 Half-slope and the full group of Euclidean isometries | WildTrig: Intro to Rational Trigonometry
  93. 93 The group of blue planar isometries | WildTrig: Intro to Rational Trigonometry | N J Wildberger

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