Vol. 29, No. 2, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Officers
Subscriptions
Editorial Board
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
A characteristic property of the sphere

Lajos Tamássy

Vol. 29 (1969), No. 2, 439–446
Abstract

It was proven by P. Funk that the only symmetrical star-shaped body, all of whose intersections with planes through its midpoint have surface area π, is the unit sphere. In this paper the same conclusion is deduced from a materially weaker hypothesis and an application of the result is given.

Mathematical Subject Classification
Primary: 53.75
Secondary: 52.00
Milestones
Received: 26 April 1968
Published: 1 May 1969
Authors
Lajos Tamássy