Blaise Pascal was born in Clermont (now Clermont-Ferrand) in France, on 19th June 1623. His mother, Antoinette Begon, died when he was three; and his father, Etienne, who was a local judge with a scientific reputation, brought him up. The Pascal senior retired and moved to Paris in 1631 to concentrate on his own scientific research and to take care of his son, Blaise, and his two daughters, Gilberte and Jacqueline. Etienne had an unconventional view of education and decided to tutor his only son himself. The elder Pascal locked up all the mathematics texts in the house because he believed that it is too exciting for young minds to be studying mathematics before the age of 15 and he was not going to sap his gifted child’s energy from all other pursuits. At age 12, Blaise was curious about geometry and deduced as far as Proposition 32 of Euclid’s Elements ( the sum of angles of a triangle are two right angles ) by himself without any mathematics training. When his father found out, Blaise was allowed to read his father’s mathematics books, because his father knew that he couldn’t stop his genius son anymore. 

The young Pascal began to participate with his father in Mersenne’s Circle, a weekly discussion group of scientists and mathematicians. In this plantation of intellects, he learned from Girard Desargues, who had just published a projective geometry book but was not well received because of the difficult vocabulary and style. Pascal was one of the few to appreciate his work. When he was 16, he presented a projective geometry paper at the meeting about what is now called the "mystic hexagon" which impressed everyone. One of his sisters wrote an account of her brother’s life saying that the paper was so well received that young Pascal was considered to be the best mathematican since the time of Archimedes. In the next year, Blaise had to suspend his association with the geometrians in the Mersenne’s Circle because he and his sisters had to move to Rouen where his father was appointed as a royal tax official in Upper Normandy. 

Blaise Pascal was a genius with many talents. He was known in his day and ours as a mathematician and physicist, was also a spiritual writer. In this paper, we will focus on his mathematics accomplishments: