 His achievements include key improvements to the telescope and consequent astronomical observations, and ultimately the triumph of Copernicanism over the Ptolemaic model.Other astronomers suchs as Giovanni Domenico Cassini (1625–1712) and Giovanni Schiaparelli (1835–1910) made many important discoveries about the Solar System.In mathematics, Joseph Louis Lagrange (born Giuseppe Lodovico Lagrangia, 1736–1813) was active before leaving Italy.