著者

林本 奏汰 林本 厚志

出版者

長野工業高等専門学校

雑誌

長野工業高等専門学校紀要 (ISSN:18829155)

巻号頁・発行日

vol.54, pp.1-7, 2020-06-30

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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.