The Basic Framework For Geometry Iii Arithmetic Geometry Math Foundations 25 N J Wildberger

Summary

Distance is not the best way to measure the separation of two points, as Euclid knew. The better way is using the square of the ... Angles don't make sense in the rational number system. The proper notion of the separation of two lines is the `spread' between ... We discuss parallel and perpendicular lines, and This video begins to lay out proper What do foundational issues tell us about teaching We extend our discussion of elementary metrical projective The first of a series that will discuss Although angles appear to be simple, mostly due to the linearity they impose on an essentially non-linear problem, they are really ... This video continues to discuss difficulties with angles. It takes a historical approach, and emphasizes that with angles, ... The ancient Greeks considered magnitudes independently of numbers, and they needed a way to compare proportions between ... Here we go back to the first videos in this series and recast that discussion in a more solid direction by utilizing our understanding ...