# Gaussian Co-ordinates-background and derivation

## Main Question or Discussion Point

In Section XXV of Relativity we are introduced to Gaussian Co-ordinates. I can't seem to find much about this on the internet, perhaps there is another name? Can anyone link some background behind why this system was initially derived, and most importantly does anyone know the derivation of ds$$^{2}$$ =g11du$$^{2}$$+2g12dudv+g22dv$$^{2}$$ (formula for distance between two points on gaussian system)

Related Special and General Relativity News on Phys.org
HallsofIvy