2026-03-14T10:21:09Z https://nagano-nct.repo.nii.ac.jp/oai

oai:nagano-nct.repo.nii.ac.jp:00001090 2023-06-20T15:49:32Z 3:77

The length, area and volume in Euclidean and Non-Euclidean geometry ユークリッド幾何学と非ユークリッド幾何学での長さ・面積・体積 林本, 奏汰 2108 林本, 厚志 2109 長さ, 面積, 体積, 凸多角形, 凸多面体, 非ユークリッド幾何学, 球面幾何学 application/pdf The relations among perimeter, area and volume of convex polyhedron or convex polygons in Euclidean and non-Euclidean spaces are studied. They are parametrized by the radius of their inscribed circles. The derivative of the area of convex polyhedron with respect to the radius is equal to the perimeter of it. Similar relations hold for the volume and the area in Euclidean space and for the area and the perimeter in non-Euclidean space. departmental bulletin paper 長野工業高等専門学校 2020-06-30 VoR application/pdf 長野工業高等専門学校紀要 54 1 7 AA1259397X 1882-9155 https://nagano-nct.repo.nii.ac.jp/record/1090/files/54_1-7.pdf https://nagano-nct.repo.nii.ac.jp/records/1090 jpn