Perspective “Point projection” is a simple model for representing a three-dimensional scene on a planar…
Month: May 2025
Polar Coordinates and Polar Graphs
Polar Coordinates Mathematicians translate between geometry and algebra using “coordinates”, assignments of ordered lists of…
High-Dimensional Geometry
Geometry and Coordinates At Differential Geometry, we prefer shape to symbolic description. Sometimes, however, symbolic…
Complex Numbers
Formally, a complex number is an expression \(a + bi\), with \(a\) and \(b\) real…
Circles, Trigonometry, and Groups
Circles In a flat plane, fix a point \(c\) and a positive real number \(r\). The circle…