He was a long-time friend and supporter of his teacher, Galileo Galilei. He assisted Galileo's study of sunspots and participated in the examination of the theories of Nicolaus Copernicus.
Castelli was interested in mathematics and hydraulics. He was appointed as a mathematician to the University of Pisa and later at the University of Rome. He published Mensuration of Running Water, and important work on fluids in motion.
Antonio Castelli was born in Brescia, Italy, in 1578 and took the name Benedetto upon entering the Benedictine order in 1595.
Castelli was also active in the initial stages of Galileo's sunspot research in 1612, coming up with the method of projecting the Sun's image through the telescope.
Castelli moved to Rome in 1626 to become a consultant to the Pope on the management of rivers in the Papal States (a perennial problem) and professor of mathematics at the university of Rome.
Castelli related river cross-sectional areas to the water volume passing through those areas and discussed the relation of velocity to head in flow through an orifice.
BenedettoCastelli, born Antonio Castelli (Brescia, 1578 – Rome, 1643), took the name "Benedetto" upon entering the Benedictine Order in 1595.
BenedettoCastelli studied at the University of Padua and later became an abbot at the Benedictine monastery in Monte Cassino.