Talk:Pappus's area theorem

Relationship to bivector addition

Just a comment that, I feel this is a good, interesting article. This theorem seems closely related to bivector addition in Clifford (geometric) algebra, which is similar to ordinary vector addition. The sum of two bivectors, representing directed parallelogram areas along two edges of a triangle, is the bivector representing the parallelogram along the third side. Generalizing further, a sum of two n-vectors (or n-blades) is a third n-vector, where each n-vector represents a directed edge along a triangle on an n-dimensional space or n-manifold? Twy2008 (talk) 09:09, 10 June 2015 (UTC)