Pascal's triangle is a triangular array of the binomial coefficients formed by adding numbers in rows above it. It is named after French mathematician Blaise Pascal who first described it in 1653. Pascal lived from 1623-1662 and made contributions to mathematics, physics, and philosophy. The document then provides Pascal's timeline and discusses applications of Pascal's triangle in areas like mathematics, computing, and binomial coefficients.

1. The history of
Pascal’s triangle
By ::
ST Z NURHAJARURAHMAH

3. One of the most interesting
Number Patterns is Pascal's
Triangle (named after Blaise Pascal,
a famous French Mathematician
and Philosopher).
In mathematics, Pasc
al's triangle is
a triangular
array of
the binomial
What is the
Pascal
triangle ???

4. 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 Rouen
1642: Built a mechanical
calculator.
1647: Out with the "Experience
touchant Nouvelles le vide“
1651: His father died.Blaise
Pascal’s
timeline

5. 1653: Came to the Traité du triangle
arithmétique now called Pascal's
triangle
1654: Facing a deadly accident on
the bridge near Neuilly
1655: Pascal traveled to the
monastery at Port-Royal
1656: First appearance "with the
Provincial Letters".
1656-57: Published series of letters
18
1659: since he was 18 y.o he getting
sick
1661: His sister, Jacqueline died.
1662: Died in Paris on August 19.

8. 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
application
s of Pascal
triangle

9. 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

10. tHe End.
Thank you.
Blaise Pascal –
Le couer a ses raison ne connait point

11. 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

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