| The mathematical employment of Galileo kept a secret and, not to upset the father, reading Evklida, obkladyvalsja volumes of Galena and Gippokrata. The more Galileo was engaged in mathematics, the the medicine became more hated to it. It convinced the father, as mathematics will manage to earn on a life. Reluctantly Vinchentso has agreed, that after four years of study the son has left studying of medicine and, without having ended university, has returned to Florence.
Here Galilej has started to give private lessons of mathematics, and a free time has completely devoted to studying of mathematical compositions and philosophical treatises. Already then it the questions connected with a structure of the Universe very interested. Along with studying of problems of movement of Galileo continued to be engaged and the questions directly connected with its hobby by ideas of Archimedes. Ability to observe and do conclusions from seen since young years distinguished Galilee. He has early enough understood that ' … natural phenomena, are as though insignificant, as though are in every respect unimportant seemed, should not be despised the philosopher, but all should be equally esteemed. The nature reaches big small means, and all its displays are equally surprising '.
Reflections and experiences by definition of relative density of various substances, especially difficult mixes and alloys, have led to Galileo to creation of own design of hydrostatic scales - the device, allowing to find density of bodies. About it svidetelstuet its first scientific work ' Small hydrostatic scales ' (1586).
Besides, Galilej a lot of time worked over definition of the centre of gravity of firm bodies and has proved some new theorems. About it began to speak as about unusually capable mathematician. Galilej has entered into a correspondence to a number of outstanding scientists, including with Gvidobaldo del Monte. The Appreciation to the first galileevskim to works was given also by the well-known mathematician Moletti.
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