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SURFACES OF REVOLUTION WITH MORE THAN ONE AXIS

Authors :
Dong-Soo Kim
Young Ho Kim
Source :
The Pure and Applied Mathematics. 19:1-5
Publication Year :
2012
Publisher :
Korea Society of Mathematical Education, 2012.

Abstract

We study surfaces of revolution in the three dimensional Euclidean space with two distinct axes of revolution. As a result, we prove that if a connected surface in the three dimensional Euclidean space admits two distinct axes of revolution, then it is either a sphere or a plane.

Details

ISSN :
12260657
Volume :
19
Database :
OpenAIRE
Journal :
The Pure and Applied Mathematics
Accession number :
edsair.doi...........8ebfd2a79ed56b4951d13703ec44bd90