Blaise Pascal (1623 - 1662) Jane Lee Mrs. Pare MYP Algebra 2 22 May 2009 http://dougfloyd.files.wordpress.com/2007/02/441px-blaise_pascal.jpeg
Biography • Pascal was born on June 19th , 1623 in Clermont-Ferrnad, France. • His father was a local judge at Clermont, and he had some scientific studies. • Pascal’s father decided that his children should not learn mathematics until they are at least the age of 15, so he took all of the mathematic textbooks out of the house. • Pascal insisted that his primary studies were languages, and that he would have nothing to do with mathematics.
Education • Pascal’s father was interested in his son learning scientific studies. • Pascal was not over worked. • Pascal had a strong interest for languages. • At the age of 12 Pascal had asked his tutor what geometry was, and from then on he had found his new study to be very intriguing, and he had devoted all of his time, for a few weeks, to geometry.
Influences • When Pascal was 14 he followed his father to the Mersenne, which is where he began to meet other intellects. • By the age of 15 he began to admire the work of Desargues.
Mathematical Discoveries • Pascal was able to discover properties of figures, and in particular the proportion that the sum of the angles of a triangle is equal to two right angles. • He published many works such as: • Essay on Conic Section • New Experiments Concerning Vacuums • A philosophical work called Pensées • Treatise on the Equilibrium of Liquids • The Generation of Conic Sections • Treatise on the Arithmetical Triangle
Pascal’s Triangle • Pascal worked to enhance the Arithmetical Triangle, which later became know as Pascal’s Triangle due to Pascal’s work. • Pascal’s triangle has many uses when it comes to binomial expansion. http://pages.csam.montclair.edu/~kazimir/construction.html For example the fourth number in the fourth line is 20, and it is consisted of 1+3+6+10 (Ball).
Pascal’s Calculator • Pascal had worked on it from the years of 1642 to 1645. • He made it so that his father could more conveniently calculate his work collecting taxes. http://www.dkimages.com/discover/previews/881/70013337.JPG
Application • One of Pascal’s most well known accomplishments was Pascal’s triangle, which is still used today when it comes to binomial expansion. • Pascal also wrote many books that expanded on our knowledge of mathematics and he was able to figure out many of these concepts on his own.
Bibliography Ball, Rouse. "Pascal biography." GAP System for Computational Discrete Algebra. 9 May 2009 <http://www.gap-system.org/~history/Biographies/Pascal.html>. "Blaise Pascal." Wikipedia. May 2009. 22 May 2009 <http://en.wikipedia.org/wiki/Blaise_Pascal>. Boutoux, Emile. Pascal. Paris: Librairie, 1900. Coleman, Francis X. J. Neither angel nor beast the life and work of Blaise Pascal. New York: Routledge & Kegan Paul, 1986. Orcibal, Jean, and Lucien Jerphagnon. 2008. EBSCOhost. Britannica Biographies. 16 May 2009 <http://web.ebscohost.com/ehost/detail?vid=14&hid=6&sid=470d4368-1104-4056-91a7-1b7c024fb752%40sessionmgr102&bdata=JnNpdGU9ZWhvc3QtbGl2ZQ%3d%3d#db=ulh&AN=32420160#db=ulh&AN=32420160#db=ulh&AN=32420160>. "Pascal Biography." GAP System for Computational Discrete Algebra. Dec. 1996. 10 May 2009 <http://www.gap-system.org/~history/Biographies/Pascal.html>.