Pappus

Japanese: Pappus

...If there is a line l and a figure D on a plane in space that do not intersect with 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 the center of gravity of D (assuming uniform density) rotating around l . This fact is called the Pappus-Guldin theorem. The same can be said about the area of a surface of revolution. That is, if there is a line l and a curve C on a plane in space that do not intersect with each other, the area of the surface of revolution obtained by rotating C around l in space is equal to the product of the length of the curve C and the length of the circumference of the circle drawn by the center of gravity of C (assuming uniform density) rotating around l . ...

*Some of the terminology that mentions "Pappus" is listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

Japanese:

…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。すなわち，空間内の一つの平面上に互いに交わらない直線lと曲線Cがあるとき，Cをlのまわりに空間内で回転させて得られる回転面の面積は，曲線Cの長さと，C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の積に等しい。…