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<p>:Canceling terms and dividing by  Fermat arrived at<br/>
:Removing the terms that contained  Fermat arrived at the desired result that the maximum occurred when .</p>

<p>Fermat also used his principle to give a mathematical derivation of <a href="page.php?w=Snell%27s_law">Snell's law</a>s of refraction directly from the <a href="page.php?w=Fermat%27s_principle">his principle</a> that light takes the quickest path.</p>

<p><big>Descartes' criticism</big></p>
<p>Fermat's method was highly criticized by his contemporaries, particularly <a href="page.php?w=Descartes">Descartes</a>.</p><p>
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