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A METHOD FOR FINDING CURVED LINES ENJOYING THE PROPERTY OF A MAXIMUM OR MINIMUM.

CHAPTER ONE.

Concerning the method of maxima and minima applied to finding curved lines in general.

DEFINITION I.

Large decorative initial 'M' featuring a landscape with a river or sea and rugged mountains in the background.The Method of maxima and minima The study of finding the largest or smallest possible values of a mathematical function. applied to curved lines is the method of finding curved lines that possess some proposed property of a maximum or a minimum.

COROLLARY I.

2. Therefore, by means of this method, those curved lines are discovered in which some proposed quantity attains either the maximum or the minimum value.