However , the process was gradual .
His descriptions of centripetal force were a breakthrough in scientific thought which used the newly developed differential calculus , and finally replaced the previous schools of scientific thought , i.e. those of Aristotle and Ptolemy .
The process was gradual .
His descriptions of centripetal force were a breakthrough in scientific thought which used the newly developed differential calculus , and finally replaced the previous schools of scientific thought , i.e. those of Aristotle and Ptolemy .