ON A MODIFICATION OF THE CLASSICAL ISOPERIMETRIC PROBLEM,
Abstract
The isoperimetric problem of the ancient Greeks consists of finding the curve of maximum area for a given perimeter or, equivalently, the curve of minimum perimeter for a given area. Its well known solution is a circle covering the angular interval delta theta = 2 pi. If the area under consideration is constrained to lie in the angular interval delta theta < 2 pi and if the perimeter includes the segments lying on the border of the above angular interval, a modification of the classical isoperimetric problem arises. Its solution is found with the methods of the calculus of variations and differs considerably from the constant radius solution of the classical isoperimetric problem. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1968
- Accession Number
- AD0826495
Entities
People
- Angelo Miele
Organizations
- Rice University