Circles Through Two or Three Points - Peter Giblin

24th February 2001
Everyone is familiar with the idea that there is a straight line through any two points in the plane. Often the formula \(y = mx + c\) is used, where \(m\) is the 'slope' and \(c\) is the 'intercept'. In this presentation, the idea is extended to finding circles through two, and then three points in the plane. The presentation also goes further, looking at general curves and a property called 'curvature' which measures how curved a particular curve is at any given point.