Affine geometry is the geometry of parallel lines. Using parallelism, we show how to construct a ruled line, how to find the midpoint of a segment, and divide a segment into a given ratio. We connect this to Archimedes law of the lever, and then extend to barycentric coordinates with respect to a triangle. This video is part of the WildTrig series, which introduces Rational Trigonometry and applies it to many different aspects of geometry.
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