Geometric Algebra (Clifford Algebra)

JimSmithInChiapas, Apr 16, 2015

These resources are part of a series that I am preparing in support of Professor David Hestenes's goal of using Geometric Algebra(GA) to integrate high-school algebra,geometry, trigonometry, and physics into a coherent curriculum. Resources prepared by Professor Hestenes and Robert Rowley http://geocalc.clas.asu.edu/GA_Primer/GA_Primer/ http://geocalc.clas.asu.edu/GA_Primer/GA_Primer/introduction-to-geometric/high-school-geometry-with/index.html Wiki for collaborative development of pre-university materials on GA http://preuniversitygeometricalgebra.wikispaces.com/ LinkedIn group for the same purpose: Pre-University Geometric Algebra https://www.linkedin.com/groups?home=&gid=8278281


  • 1. Vectors' Geometric Properties (with application to "forces")
  • 2. Dot Product: Geometric Significance and GeoGebra Coding
  • 3. Inner and Outer Products of Vectors Inscribed in a Circle
  • 4. GeoGebra coding/usage of Geometric Algebra's wedge product
  • 5. Tangents to a circle from a point, using Geometric Algebra
  • 6. Answering Two Common Objections to Geometric Algebra
  • 7. Apollonius Problem: Solution via Vectors (Geometric Algebra)
  • 8. Three Solutions to Apollonius Problem LLP Limiting Case
  • 9. Projection of Vector on Plane via Geometric Algebra
  • 10. Angle down to horizon for observer on a sphere
  • 11. This Construction Tests a Geometric Algebra Calculation of Where a Projectile Intersects a Given Direction of Aim

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