While studying the history of classical mechanics I noticed that the primary motor for most of the early equations is the principle of conservation framed firstly as the law of inertia and then as the principle of least time (Fermat) and then as... But while trying to regain for the principle of least time its status as a conservational principle I noticed its similarity with Kepler's second law of equal area in equal time. In fact the Snell's law seems to be "equal distance in equal time" except that the distance here is not the distance traveled by light but the distance on the y axis only. But to prove it involves some algebra impossible to solve, hence only assumed. If someone is interested in this topic or in the origin of classical mechanics please visit my webpage on this at http://www.geocities.com/theophoretos/fermat.html(adsbygoogle = window.adsbygoogle || []).push({});

and maybe show me if I "assumed" correctly. Thank you everyone.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fermat's principle of least time and Kepler's second law

**Physics Forums | Science Articles, Homework Help, Discussion**