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They had two daughters, Virginia (born in 1600) and Livia (born in 1601), and a son, Vincenzo (born in 1606). Spencer Spencer Spencer SpencerGalileo discovered the law of pendulum. No matter how wide an arc the lamps made, the time it took to complete a cycle, swinging from one side to the other was the same, even as the size of the arc decreased. This law states that swinging objects follow the same path and have a period between swings that remains constant. This was one of his first major discoveries. While Galileo's application of mathematics to experimental physics was innovative, his mathematical methods were the standard ones of the day, including dozens of examples of an inverse proportion square root method passed down from Fibonacci and Archimedes. The analysis and proofs relied heavily on the Eudoxian theory of proportion, as set forth in the fifth book of Euclid's Elements. This theory had become available only a century before, thanks to accurate translations
by Tartaglia and others; but by the end of Galileo's life, it was being superseded by the algebraic methods of Descartes. The concept now named Galileo's paradox was not original with him. His proposed solution, that infinite numbers cannot be compared, is no longer considered useful. Spencer Spencer Spencer Spencer Spencer Spencer Spencer Spencer Spencer
He discovered many things through astrology, such as: the phases of Venus, the largest satellites around Jupiter, and sunspots. Galileo also worked in applied science and technology, inventing a military compass and other instruments Galileo revised the spyglass to create a telescope, improving magnification from 9 times to 32. With this new creation, Galileo began his study of the ever-mysterious heavens. He discovered many things with his telescope, such as mountains on the moon, and moons around Jupiter, which are called the Galilean Moons. He also discovered with his telescope that the Milky Way was made up of numerous separate stars. He observed and studied the oval shape of Saturn (the limitations of his telescope prevented the resolving of Saturn's rings), and the spots on the sun. His investigations confirmed his acceptance of the Copernican theory of the solar system; but he did not openly declare a doctrine so opposed to accepted beliefs until 1613, when he issued a work on sunspots.