# Rational Trigonometry--- N J Wildberger

This video series on Rational Trigonometry (RT) and related geometry presents a much needed alternative to the traditional tedious and painful subject of trigonometry, which alienates millions of students each year from mathematics.

By dispensing with transcendental notions, circular functions and square roots, this new theory gives simpler, faster and more accurate ways to solve a wide variety of engineering, surveying, physics and geometry problems, essentially only with high school algebra (that's right, calculators or trig tables are not required!)

RT is also a much more satisfying and logical way to introduce young people to the beauty and elegance of geometry, and teaches them that mathematics should, first and foremost, always make sense.

Prepare to depart on a modern adventure, in the spirit of the ancient Greeks!

Assoc Prof N J Wildberger is the author of the first book on this subject, 'Divine Proportions: Rational Trigonometry to Universal Geometry'. He is also and innovative and highly regarded teacher in the School of Mathematics and Statistics at UNSW.
This video series on Rational Trigonometry (RT) and related geometry presents a much needed alternative to the traditional tedious and painful subject of trigonometry, which alienates millions of students each year from mathematics.

By dispensin...

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•  An Invitation to Geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:38 Why Trig is Hard | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:48 Quadrance via Pythagoras and Archimedes | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:59 Spread, Angles and Astronomy | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:21 Five Main Laws of Rational Trigonometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:49 Applications of Rational Trigonometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:28 Heron's Formula Viewed Rationally | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:37 Solving Triangles with Rational Trigonometry | WildTrig: Intro to Rational Trigonometry 6:33 Centers of Triangles with Rational Trigonometry | WildTrig: Intro to Rational Trigonometry 9:56 Laws of Proportion for a Triangle | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:39 Geometry of Circles with Rational Trigonometry | WildTrig: Intro to Rational Trigonometry 8:37 Applications of rational trig to surveying (I) | WildTrig | N J Wildberger 9:52 Cartesian coordinates and geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:20 Why spreads are better than angles | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:05 Rational parameters for circles | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:46 Complex numbers and rotations | WildTrig: Intro to Rational Trigonometry | N J Wildberger 10:17 Rational Trigonometry Quiz 1 | WildTrig: Intro to Rational Trigonometry | N J Wildberger 7:19 Rational trigonometry: Solutions to Quiz (1) WildTrig: Intro to Rational Trigonometry 10:01 Medians, altitudes and vertex bisectors | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:34 Trigonometry with finite fields (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 10:01 Trigonometry with Finite Fields (II) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 10:02 Trigonometry with Finite Fields (III) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 10:00 Highlights from triangle geometry (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:36 Highlights from triangle geometry (II) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:12 Spread polynomials | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:09 Pentagons and five-fold symmetry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:58 Applications of rational trig to surveying (II) | WildTrig: Intro to Rational Trigonometry 8:35 Stewart's theorem | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:05 What size ladder fits around a corner? | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:07 Trisecting angles and Hadley's theorem | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:10 Polar coordinates and rational trigonometry | WildTrig: Intro to Rational Trigonometry 9:57 Introduction to Projective Geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 7:22 Projective geometry and perspective | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:51 Projective geometry and homogeneous coordinates | WildTrig: Intro to Rational Trigonometry 7:57 Lines and planes in projective geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:19 Affine geometry and barycentric coordinates | WildTrig: Intro to Rational Trigonometry 10:10 Affine geometry and vectors | WildTrig: Intro to Rational Trigonometry | N J Wildberger 10:05 The cross ratio | WildTrig: Intro to Rational Trigonometry | N J Wildberger 10:11 More about the cross ratio | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:47 Harmonic ranges and pencils | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:22 The fundamental theorem of projective geometry | WildTrig: Intro to Rational Trigonometry 9:17 Conics via projective geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:46 An algebraic framework for rational trigonometry (I) | WildTrig: Intro to Rational Trigonometry 9:01 An algebraic framework for rational trigonometry (II) | WildTrig: Intro to Rational Trigonometry 10:02 How to learn mathematics | WildTrig: Intro to Rational Trigonometry | N J Wildberger 6:34 Einstein's special relativity: an introduction | WildTrig: Intro to Rational Trigonometry 9:50 Red geometry (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 10:03 Red geometry (II) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 10:00 Red geometry (III) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:35 Circles in red geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:45 Green geometry (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:47 Green geometry (II) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:50 Pythagorean triples | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:36 An introduction to chromogeometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:41 Chromogeometry and Euler lines | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:19 Chromogeometry and the Omega triangle | WildTrig: Intro to Rational Trigonometry | N J Wildberger 7:37 Chromogeometry and nine-point circles | WildTrig: Intro to Rational Trigonometry | N J Wildberger 7:54 Proofs in chromogeometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:58 Triangle spread rules | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:49 Triangle spread rules in action | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:58 Acute and obtuse triangles | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:17 Proofs of the Triangle spread rules | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:03 Rational trigonometry Quiz (#2) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 5:46 Hints for solutions to Quiz (#2) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:35 The 6-7-8 triangle | WildTrig: Intro to Rational Trigonometry | N J Wildberger 8:11 Barycentric coordinates and the 6-7-8 triangle | WildTrig: Intro to Rational Trigonometry 9:36 Squares in a pentagon | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:39 Trisecting a right triangle | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:41 Euler's Four Point Relation | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:56 What is geometry really about? | WildTrig: Intro to Rational Trigonometry | N J Wildberger 9:56 Determinants in geometry (I) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 10:02 Determinants in geometry (II) | WildTrig: Intro to Rational Trigonometry | N J Wildberger 10:05
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