スギモト タケシ   Sugimoto Takeshi
  杉本 剛
   所属   神奈川大学  工学部 情報システム創成学科
    神奈川大学大学院  工学研究科 工学専攻(情報システム創成領域)
   職種   教授
言語種別 日本語
発行・発表の年月 2009/12
形態種別 その他
標題 History of 'Latus Rectum,' a geometric measure in the conic sections, with special reference to Newton's Principia
執筆形態 単著
掲載誌名 Seminar at Dept Maths, the University of Waikato
概要 'Latus Rectum' plays an important role in development of treatises on the conic sections. The conic sections, i.e., the ellipses, the parabolas and the hyperbolas, are observed as the celestial orbits in the solar system. Copernicus moved the earth; Tycho observed the universe and collected the exhaustive data; Kepler analysed Tycho's data to find three laws of the solar system; Galileo established mechanics of falling bodies on earth; Descartes scrambled the solar system. Then Newton enters the scene to unify the theory for the celestial bodies revolving in the conic-section orbits around the sun as a focus. 'Latus Rectum' has been consistently a scaling measure in the conic sections but its name and definition has been changing from era to era. I shall explore the history of 'Latus Rectum' and speculate what 'Latus Rectum' is in Newton's Principia.