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