What is the difference between discover and derive

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Compare the approaches taken by Kepler and Newton in developing their theories. What is the difference between discover and derive? Note that in the process of developing their theories both of them broke new ground in methods of scientific inquiry. What elements of the scientific method were employed in developing these theories? Which of these two astronomers had the greatest impact on future scientific inquiry? Justify your answer. Give an example of how you might employ the two methods used by Kepler and Newton to solve an everyday problem at home or at work.

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