Media Summary: Angles don't make sense in the rational number system. The proper notion of the separation of two lines is the `spread' between ... The dot product, or inner product, is the main source of metrical structure for planar Euclidean Around 1400, the mathematician Parameshvara from the southern Indian state of Kerala discovered a remarkable formula in the ...
Parametrizing Circles Arithmetic And Geometry Math Foundations 29 N J Wildberger - Detailed Analysis & Overview
Angles don't make sense in the rational number system. The proper notion of the separation of two lines is the `spread' between ... The dot product, or inner product, is the main source of metrical structure for planar Euclidean Around 1400, the mathematician Parameshvara from the southern Indian state of Kerala discovered a remarkable formula in the ... We illustrate algebraic calculus on the simplest algebraic curves: the unit The ancient Greeks considered magnitudes independently of numbers, and they needed a way to compare proportions between ... Decimal numbers are a source of confusion in primary school, high school, university and research level
Historically mathematicians have been careful to avoid treating `infinite sets'. After G. Cantor's work in the late 1800's, the position ... Euclid's book `The Elements' is the most famous and important This video introduces a two-dimensional aspect to We begin to address the many logical difficulties arising from the reliance on angles in modern We discuss parallel and perpendicular lines, and basic notions relating to triangles, including the notion of a side and a vertex of a ... We continue our discussion of oriented, or signed, or directed
This video introduces stereographic and gnomonic projections of a sphere. We begin by reviewing three dimensional coordinate ... There are logical ambiguities with Euclid's Elements, despite its being the most important
