...If there is a line l and a figure D on a plane in space that do not intersect each other, the volume of the solid of revolution obtained by rotating D around l in space is equal to the product of the area of D and the length of the circumference of the circle drawn by rotating the center of gravity of D (assuming the density is uniform) around l . This fact is called the Pappus-Guldin theorem. The same can be said about the area of a surface of revolution. ... *Some of the terminology explanations that mention "Guldan, P." are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…空間内の一つの平面上に互いに交わらない直線lと図形Dがあるとき,Dをlのまわりに空間内で回転させて得られる回転体の体積は,Dの面積と,Dの重心(密度は一様として)がlのまわりを回転して描く円周の長さとの積に等しい。この事実をパップス=ギュルダンの定理という。回転面の面積についても同様なことがいえる。… ※「ギュルダン,P.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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