@article{oai:ir.kagoshima-u.ac.jp:00015753,
author = {ISOKAWA, Yukinao},
journal = {鹿児島大学教育学部研究紀要. 自然科学編, Bulletin of the Faculty of Education, Kagoshima University. Natural science},
month = {Mar},
note = {Consider a solid made by intersecting two congruent cones while assuming that axes of these cones intersect perpendicularly. The paper studies quadrature of both surface area S and volume V of the solid, and gives explicit exressions for S and V . In a limitting case where cones tend to cylinders, these explicit expressions reduce to the oldest result by Archimedes. In the final section we investigate relationship between S and V , and find a relation which states that volume V of our solid is equal to that of a cone with base being equal to S and height (after being appropriately defined). This relation is similar to the greatest discovery by Archimedes for spheres.},
pages = {1--11},
title = {An Analogue of an Old Quadrature Problem by Archimedes},
volume = {72},
year = {2021}
}