Line-Bound Vectors, Plane-Bound Bivectors, and Heron's Formula for Tetrahedra

doi:10.21203/rs.3.rs-2500250/v1

Download PDF

Research Article

Line-Bound Vectors, Plane-Bound Bivectors, and Heron's Formula for Tetrahedra

https://doi.org/10.21203/rs.3.rs-2500250/v1

This work is licensed under a CC BY 4.0 License

Version 1

posted

You are reading this latest preprint version

The representation of some elementary geometric concepts in the conformal geometric algebra of three dimensions are reviewed, and their connections to a recently discovered extension of Heron's formula for the area of a triangle to the volume of a tetrahedron are discussed.

Mathematics Subject Classification (2010). Primary 51M04; Secondary 11E88, 15A67, 51M25, 51M30, 52A38, 52B10.

Conformal Model

Distance Geometry

Heron’s Formula

Plücker Identity

Tetrahedron.

Download PDF

Version 1

posted

You are reading this latest preprint version

Line-Bound Vectors, Plane-Bound Bivectors, and Heron's Formula for Tetrahedra

Status:

Version 1

Abstract

Full Text

Status:

Version 1