| Three dimensional affine geometry is a big step from two dimensional planar geometry. Here we introduce the subject via a 3d coordinate system, showing some ZOME models, explaining how to draw such a coordinate system in the plane, and seeing how points in space are naturally associated to triples of [x,y,z] of numbers. We discuss points, lines and planes in 3D, and point out the important distinction between affine space and a vector space. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry---see his WildTrig YouTube series under user `njwildberger'. There you can also find his series on Algebraic Topology, History of Mathematics and Universal Hyperbolic Geometry. |
