2024-06-25T18:24:20Z
https://u-ryukyu.repo.nii.ac.jp/oai
oai:u-ryukyu.repo.nii.ac.jp:02007913
2022-10-31T03:50:02Z
1642837622505:1642837628262:1642837639270
1642838403551:1642838406414
AN EXTREMAL VALUE PROBLEM CONCERNING THE INSCRIBED SPHERE OF PYRAMIDS
Kamiyama, Yasuhiko
神山, 靖彦
open access
Consider the following question: In a circular cone, with the sum of the radius of the base circle and the length of the bus line being 1, the inscribed sphere is to be maximal. How much is the radius of the base circle? It is easy to see that the answer is 1/3, which is geometrically interpreted as follows: Consider the section of a cone by a plane which contains the apex and is perpendicular to the base circle. Then the answer corresponds to the case that the section is an equilateral triangle. In this paper, we generalize the question to the case that the base circle is generalized to regular polygons.
紀要論文
Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus
琉球大学理学部数理科学教室
2014-12-26
eng
departmental bulletin paper
VoR
http://hdl.handle.net/20.500.12000/30834
http://hdl.handle.net/20.500.12000/30834
https://u-ryukyu.repo.nii.ac.jp/records/2007913
1344-008X
AA10779580
Ryukyu mathematical journal
27
9
17
https://u-ryukyu.repo.nii.ac.jp/record/2007913/files/Vol27p009.pdf