Self-circumference in the Minkowski plane
MetadataShow full item record
Let delta(n) denote the self-circumference of a regular polygon with n sides. It will be shown that delta (n) is monotonically increasing from 6 to 2 pi if n is twice and odd number, and monotonically decreasing from 8 to 2 pi if n is twice an even number. Calculation of delta (n) for the case where n is odd as well as inequalities for self-circumference of some irregular polygons are given. Properties of the mixed area of a plane convex body and its polar dual are used to discuss the self-circumference of some convex curves. (kr)
Approved for public release; distribution is unlimited.
NPS Report NumberNPS-53-009
Showing items related by title, author, creator and subject.
Garrett, Steven L.; Danielson, Donald A. (The United States of America as represented by the Secretary of the Navy, Washington, DC (US), 1990-08-21);An omnidirectional hydrophone having an elastic shell which is spheroidal so that the circumference of the shell about different axes changes differentially when the shell is subjected to pressure variations. The differences in ...
Brown, David A. (The United States of America as represented by the Secretary of the Navy, Washington, DC (US), 1993-05-18);An omnidirectional hydrophone having an elastic shell in the form of an oblate ellipsoid of revolution having the ratio of its major axis to is minor axis greater than about Y(2-v) where v is Poisson's ratio of the ...
Taborda Romero, Jesus A. (Monterey, California. U.S. Naval Postgraduate School, 1967-09);This thesis presents a method for estimating the distribution of stress components around the outer circumference of a cross section of a pipe, from the readings of strain gage elements arbitrarily positioned and oriented ...