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  • 07:21, 28 June 2025Contents (hist | edit) ‎[3,342 bytes]Eric Lengyel (talk | contribs) (Created page with "This is the table of contents for ''Projective Geometric Algebra Illuminated''. * Preface * 1 Conventional Mathematics ** 1.1 The Cross Product ** 1.2 Homogeneous Coordinates ** 1.3 Lines and Planes *** 1.3.1 Parametric Forms *** 1.3.2 Implicit Forms *** 1.3.3 Distance Between a Point and a Line *** 1.3.4 Intersection of a Line and a Plane *** 1.3.5 Intersection of Multiple Planes *** 1.3.6 Reflection Across a Plane *** 1.3.7 Homogeneous Formulas *** 1.3.8 P...")
  • 04:56, 17 May 2025Transwedge products (hist | edit) ‎[5,403 bytes]Eric Lengyel (talk | contribs) (Created page with "The ''transwedge product'' is a generalization of the exterior product and interior product that also includes a transitional sequence of liminal products between exterior and interior. The transwedge product of order $$k$$ is written with a double upward wedge having either a subscript or an underscript indicating the order. It is defined as :$$\displaystyle\mathbf a \mathbin{\underset{k}{\unicode{x2A53}}} \mathbf b = \sum_{\mathbf c \in \mathcal B_k}{(\mathbf...")