Albert Einstein edited Gaussian Coordinates.tex  almost 11 years ago

Commit id: 1f4cb4995f6e13b87600dc8084771dc71f7f1fae

deletions | additions      

       

P': (u + du, v + dv),  $$  where $du$ and $dv$ signify very small numbers. In a similar manner we may indicate the distance (line-interval) between $P$ and $P'$, as measured with a little rod, by means of the very small number ds. Then according to Gauss we have   $$   ds^2 = g_{11} du^2 +2g_{12}\,du \,dv + g_{22} dv^2   $$