The Group of Blue Planar Isometries - WildTrig: Intro to Rational Trigonometry - N J Wildberger

This course explores Euclidean (blue) isometries from a rational perspective, focusing on grounded isometries fixing the origin. Students will learn basic formulas for projections, reflections, and the composition of reflections. The course introduces reflections in a line through the origin, associated with a rational parameter. The teaching method involves deriving formulas and interpreting the Weierstrass substitution in calculus. This course is intended for learners interested in rational trigonometry and geometric transformations.