English  |  正體中文  |  简体中文  |  Items with full text/Total items : 54367/62174 (87%)
Visitors : 13934047      Online Users : 11
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTHU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    National Tsing Hua University Institutional Repository > 清華出版品 > 01 清華學報 > 新27卷第2期 >  再論劉徽關於陽馬與羨除公式的證明


    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/75683


    Title: 再論劉徽關於陽馬與羨除公式的證明
    Other Titles: On Ancient Chinese Derivation of the Volumes of A Pyramid and A Cuneate Solid
    Authors: 屈安京;An-jing Qu
    Date: 1997/06
    Publisher: 國立清華大學出版社
    Relation: 清華學報,國立清華大學,1997,new,27,n.2,p201.
    Keywords: 羨除公式
    陽馬公式
    劉徽
    Abstract: The theory of polyhedron volume in ancient Chinese mathematics was based on yangma shu, the volume of a pyramid. Yanchu shu, the volume of a cuneate solid, did not exist in Euclid's Elements. The derivation of yangma shu and yanchu shu in Liu Hui's commentary on the Nine Chapters on Mathematical Art has been studied by scholars in and out China. In order to understanding the meaning of yangma shu, several key words in orinial text have been changed in different ways. In fact, only one word was misprinted in Liu Hui's commentary on yangma shu. It has been considered that the proof of yanchu shu in Liu Hui's commentary is not perfect. The reexamination on yanchu shu shows that Liu Hui's proof is much concise than the understanding of those who divided a yanchu into many cases, and then found that some cases Liu Hui did not give proofs. The reasult is that Liu Hui's proof on yanchu shu is complete.
    Key Words: Liu Hui, volume of pyramid, volume of cuneate solid, polyhedron
    URI: http://thjcs.hss.nthu.edu.tw/catalogue_detail.php?id=176
    http://thup.et.nthu.edu.tw/
    http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/75683
    Appears in Collections:[01 清華學報] 新27卷第2期

    Files in This Item:

    File SizeFormat
    JA01_1997_p201.pdf6840KbAdobe PDF692View/Open


    在NTHUR中所有的資料項目都受到原著作權保護,僅提供學術研究及教育使用,敬請尊重著作權人之權益。若須利用於商業或營利,請先取得著作權人授權。
    若發現本網站收錄之內容有侵害著作權人權益之情事,請權利人通知本網站管理者(smluo@lib.nthu.edu.tw),管理者將立即採取移除該內容等補救措施。

    SFX Query

    與系統管理員聯絡

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback