Line densification based on geodetic error tolerance

[dsmiley]

I'd like to be able to interpolate a pair of adjacent points geodetically by adding a point at the place along the geodetic path that maximizes the distance away from the Euclidean straight-line path. And I'd like to know what that distance delta is, so an algorithm can either decide to add a point or not to. With this capability, I could take a polygon or line string and densify it to configurable geodetic distance tolerances.