2026-03-14T09:39:32Z https://nagano-nct.repo.nii.ac.jp/oai

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

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 The length, area and volume in Euclidean and Non-Euclidean geometry 林本, 奏汰 林本, 厚志 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. 長野工業高等専門学校 2020-06-30 jpn departmental bulletin paper VoR https://nagano-nct.repo.nii.ac.jp/records/1090 AA1259397X 1882-9155 長野工業高等専門学校紀要 54 1 7 https://nagano-nct.repo.nii.ac.jp/record/1090/files/54_1-7.pdf application/pdf 494.3 kB 2020-07-03