Current location - Training Enrollment Network - Mathematics courses - Goulding theorem
Goulding theorem
Mathematician goulding was born in Sao Paulo and died in Graz. He worked as a goldsmith in his early years and made a living in many towns in Germany. He became a Jesuit at the age of 20 and went to Rome for further study in 1609. Later, he taught mathematics in missionary schools in Rome and Graz. He is also a professor of mathematics at Vienna University. He is famous for his independent discovery (1635) of Paphos theorem, that is, when a plane figure rotates around an axis that does not intersect with it, the three-dimensional volume generated is equal to the area of the figure multiplied by the circumference of the circle drawn by the center of gravity of the figure. Therefore, this theorem is also called "Golding Theorem". He also studied many mathematical and physical problems, such as logarithm, infinitesimal theory, Archimedes gravity center measurement, earth movement and so on. , and discusses the Gregorian calendar (16 18) which soon spread to western Europe.

Golding Theorem: "A closed plane figure rotates around an axis that is in the same plane and does not intersect with it, and the volume generated is equal to the area of this figure multiplied by the length of the circle drawn by the center of gravity of the figure". He further asserted: "A closed plane figure can become a plane curve. The surface area generated by its revolution is equal to the length of the curve multiplied by the length of the circle drawn by its center of gravity. " Papos just described it, and there is no evidence. Later, goulding mentioned this theorem in his book (1635- 164 1), but in fact he didn't prove it. I just did "metaphysical reasoning". Cavalieri (1598- 1647) pointed out this defect and proved it with his own "inseparable method".

Goulding's main contribution

Goulding's main contribution is infinitesimal, and his masterpiece is about the center of gravity.