Conversion of Variation Problems Into Isoperimetrical Problems

Extract

The purpose of this article is to apply a method, previously discussed in some detail, to the solving of standard elementary problems in the Calculus of Variations and to show how rapidly the solutions can be derived by introducing (p, r) and certain other coordinates. In each case a Lagrange undetermined multiplier is introduced in the course of the solution, so that the problem if not already an isoperimetrical problem is converted to one.