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Galileo was born in the same year as Shakespeare and on the day of Michelangelo's death. Appointed to the Chair of Mathematics at the University of Pisa when he was 25 his studies of motion there and later at Padua provided the foundation of the study of dynamics. His contributions to the the development of gravitational theory and motion were to terminally undermine the tenets of Aristotelian motion and physics.

Over the years, Galileo's promise not to teach heliocentrism began to slip, and he published work that didn't outright advocate heliocentrism, but was enough to get him convicted of heresy charges in 1633. While he didn't go to prison, he did spend the rest of his life under house arrest.

Galileo spent the last years of his life working once again on trying to understand motion. The resultant final book Dialogues concerning two new sciences had to be smuggled out of Italy before being published in Holland in 1638. It primarily dealt with describing motion, kinematics, but also revealed that acceleration resulted from the application of a force and that he was aware of the concept of inertia. He rejected Aristotle's ideas of forced and natural motions after studying falling or rolling objects and projectiles and realised that gravity was some type of force acting in terrestrial situations though he does not seem to have extended this to heavenly motions.  

Galileo died after suffering fever and heart palpitations, he died on 8 January 1642, aged 77.

                                                                

 

 

Newton died in his sleep in London, England, on March 31, 1727, at the age 85. On the previous day, after suffering severe pain in his abdomen, Newtonblacked out and never regained consciousness. ...Isaac Newton was buried in Westminster Abbey.

Isaac Newton is the pivotal figure in the scientific revolution of the 16th and 17th centuries. He discovered the composition of white light, and laid the foundations of modern optics. In mathematics he invented infinitesimal calculus and the binomial theorem. His work on the laws of motion and of universal gravitation became the basis of modern physics. Whilst today remembered for his immense contributions to science the bulk of his writings were actually in the fields of theology and alchemy though as his views on both of these was contrary to the establishment he kept many of them secret.

During 1665-6 Newton returned to his home at Woolsthorpe from Cambridge when the University closed due to the Great Plague. This period allowed him time to develop his ideas on optics and light, planetary motions and the concept of gravitation. By 1670 he was Lucasian Chair of Mathematics at Cambridge, had developed his corpuscular theory of light and built the first successful reflecting telescope, thus avoiding the chromatic aberration problems inherent in the lenses of refracting telescopes. For this he was elected a Fellow of the Royal Society. He withheld publication of chief work on light, Optiks, until 1704, the year after his adversary Robert Hooke died

                                                    Sir Isaac Newton                           Image result for newton theory. law of motion