I think you’re confusing https://en.wikipedia.org/wiki/Algebraic_geometry https://en.wikipedia.org/wiki/Algebraic_geometry with https://en.wikipedia.org/wiki/Ge

I think you’re confusing https://en.wikipedia.org/wiki/Algebraic_geometry https://en.wikipedia.org/wiki/Algebraic_geometry with https://en.wikipedia.org/wiki/Geometric_algebra https://en.wikipedia.org/wiki/Geometric_algebra which is a type of https://en.wikipedia.org/wiki/Clifford_algebra https://en.wikipedia.org/wiki/Clifford_algebra and a generalization of https://en.wikipedia.org/wiki/Quaternion https://en.wikipedia.org/wiki/Quaternion