The history of Pascal’s triangle

By ::

ST Z NURHAJARURAHMAH

The

application

s of Pascal

triangle

Blaise Pascal’s timeline

What is the

pascal

triangle?

events that

inspire

pascal find

the Pascal's

triangle

One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher).

In mathematics, Pascal's triangle is a triangular array of the binomial coefficients.

What is the Pascal

triangle ???

1623: Born in Clermont-Ferrand.1631: The family moved to Paris.1639: Writing a short treatise on the "Mystic Hexagram"; Étienne king appointed tax commissioner in the city of Rouen1642: Built a mechanical calculator.1647: Out with the "Experience touchant Nouvelles le vide“1651: His father died.

Blaise Pascal’s timeline

1653: Came to the Traité du triangle arithmétique now called Pascal's triangle1654: Facing a deadly accident on the bridge near Neuilly1655: Pascal traveled to the monastery at Port-Royal1656: First appearance "with the Provincial Letters".1656-57: Published series of letters 181659: since he was 18 y.o he getting sick1661: His sister, Jacqueline died.1662: Died in Paris on August 19.

Blaise

Pascal’s

timeline

Partying, gambling and fun themselves into the daily menu for Pascal in Clermont. When he returned to Paris and hang out with the upper classes. High standards of living of the earnings made him bankrupt. Life leaden Pascal running for 2 years before resuscitated by Gilberte. After that Pascal did collaboration with Pierre de Fermat trigger Probability Theory. This theory emerged because Pascal was asked by a friend who is interested and likes to gamble.

events that

inspire

pascal find

the Pascal's

triangle

The friend was the Chevalier de Mere, asked how the players the opportunities to having deal win gambling in a gambling game. This theory was later very influential at all to the development of social science and economics. This theory is he got from a habit of throwing two dice, while gambling and partying.In 1653 Pascal published a book entitled Traité du triangle arithmétique now called Pascal's triangle based on the theory of probability by Fermat.

events that

inspire

pascal find

the Pascal's

triangle

Finding the shortest path from a location that has a lot of ramifications

Knowing the number of Association Part Of A set

of

11n of Pascal triangle

In binomial Newton

Fibonacci sequenc3

The applications of Pascal

triangle

     Focusing on the history and construction of Pascal’s Triangle, as well as on its patterns and applications in several areas of mathematics, I hope to have conveyed to you some of the most interesting and useful pieces of information known about the triangle.  Yet, “we have only scratched the surface of the iceberg” (Neff 46).  I extend an invitation to you to begin or continue to search for the unknown secrets lying behind the infinite set of numbers in Pascal’s magnificent triangle.

CONCLUTIONS

tHe End.

Thank you.

Blaise Pascal – Le couer a ses raison ne connait point

Hati mempunyai alasan-alasan yang tidak dimengerti oleh rasio 

In mathematics and computing, a triangular array of numbers, polynomials, or the like, is a doubly indexed sequence in which each row is only as long as the row's own index.

In Mathematics, binomial coefficients are a family of positive integers that occur as coefficient  in the binomial theorem.