• Journal of the Korean School Mathematics Society
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• v.11 no.1
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• pp.19-30
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• 2008

Cavalieri is chiefly remembered for his work on the problem "indivisibles." Building on the work of Archimedes, he investigated the method of construction by which areas and volumes of curved figures could be found. Cavalieri regarded an area as made up of an indefinite number of parallel line segments and a volume of an indefinite number of parallel plane areas. He called these elements the indivisibles of area and volume. Cavalieri developed a method of the indivisibles which he used to determine areas and volumes. We call this Cavalieri's principle which states that there exists a plane such that any plane parallel to it intersects equal areas In both objects, then the volumes of the two objects are equal. Cavalieri's principle and method of the indivisibles are very important to understand of volume of a pyramid for gifted students.

• Journal for History of Mathematics
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• v.23 no.3
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• pp.91-106
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• 2010

This is the study for various methods for getting the volume of frustum of pyramid. This study will first deal with how the formula of getting the volume of frustum of pyramid has been changed in the history of Mathematics. Secondly, based on the study of 'Prasolov' this study will deal with the calculation method for the volume of frustum of pyramid which was written in the 14th question of 'Moscow Papyrus' and search for the rules of solution for frustum of pyramid in the middle school textbooks. Finally, this study will consider various solutions for the volume of frustum of pyramid and its generalization.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 2004.05a
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• pp.64-64
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• 2004

최근 복합재료, 신소재 등 다양한 방법을 통해 빔(beam), 바(bar), 패널(panel) 등 초경량 구조재료가 개발되고 있다. 이중 금속 내부구조재를 가진 접합판재(Inner Structured and Bonded panel, ISB panel)은 3차원 형상의 내부구조재가 강성 및 강도를 증가시키는 반면, 부피의 대부분이 비어있어 비강도 및 비강성을 크게 개선시킨다 일반적으로 다양한 트러스 형태의 금속 내부구조물은 허니컴 형상의 내부구조와 유사한 정도로 기계적 특성이 우수하다.(중략)