Foundations to FrontierBezhig

Part XIII: Geometry

From angle chasing to olympiad circles, with the two bridges an engineer needs: geometry as the constraint language of CAD, and geometry as code.

2 chapters, 40 exercises.

Every figure in this part speaks this language. Colour is never the only signal: auxiliary lines are also dashed, targets also carry a question mark, proved facts also carry a check mark, and the newest move also sits on a yellow highlighter band. GEO00’s section on the visual language shows one sample of every kind of figure.
  1. GEO00The Geometry route: seven phases, four bridges, one visual languageDescribe the seven phases and 28 modules, their hours, and the four bridge modules that link geometry to CAD and to competitive programming; say where each module meets the Engineering Lab and the algorithms lane; read every…
  2. GEO01Angle chasing and your first proofs40 exercisesName angles correctly and use the vocabulary of lines, rays, and angles; prove that vertical angles are equal; use a transversal of parallel lines in both directions (parallel lines give equal angles, and equal angles prove…