about the triangle, and employed them to solve problems in probability theory. The triangle was later named for Pascal by Pierre Raymond de Montmort (1708)...

on the arithmetical triangle. Between 1658 and 1659, he wrote on the cycloid and its use in calculating the volume of solids. Pascal was born in Clermont-Ferrand...

Sierpiński triangle. More precisely, the limit as n approaches infinity of this parity-colored 2 n {\displaystyle 2^{n}} -row Pascal triangle is the Sierpinski...

Pascal is an imperative and procedural programming language, designed by Niklaus Wirth as a small, efficient language intended to encourage good programming...

entries of this triangle can be computed from Pascal's: "The terms in each row are the initial term divided by the corresponding Pascal triangle entries." In...

In projective geometry, Pascal's theorem (also known as the hexagrammum mysticum theorem, Latin for mystical hexagram) states that if six arbitrary points...

arrays such as Pascal's triangle or triangular matrices, or concretely in physical space. It does not include metaphors like love triangle in which the...

Olivia Pascal (born Olivia Gerlitzki: 26 May 1957 in Munich, West Germany) is a German actress. Olivia Pascal was working as a medical assistant in 1976...

involving what is today known as Pascal's triangle (including several of the first explicit proofs by induction) Pascal finally showed that in a game where...

factorial Antichain Beta function Bhargava factorial Binomial coefficient Pascal's triangle Binomial distribution Binomial proportion confidence interval Binomial-QMF...

also known for naming Pascal's triangle after Blaise Pascal, calling it "Table de M. Pascal pour les combinaisons." Another of de Montmort's interests...

fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the...

collineation. In any triangle the following sets of points are collinear: The orthocenter, the circumcenter, the centroid, the Exeter point, the de Longchamps point...

around 1300. Today, this triangle is known as Pascal's triangle. Pascal's contribution to the triangle that bears his name comes from his work on formal...

construction." de Bessy, Frénicle (1676). Traité des triangles rectangles en nombres. de Bessy, Frénicle (1729). "Traité des triangles rectangles en nombres"...

probabilistic problems, Bernoulli had not yet read Pascal's work on the "arithmetic triangle" nor de Witt's work on the applications of probability theory:...

A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...

progression Geometric shape Pi Angular velocity Linear velocity De Moivre's theorem Similar triangles Unit circle Point Ray Plane Bearing Angle Degree Minute...

The trinomial triangle is a variation of Pascal's triangle. The difference between the two is that an entry in the trinomial triangle is the sum of the...

Tartaglia's triangle (also known as "Pascal's triangle"), calculations with roots, and proportions / fractions. Part IV concerns triangles, regular polygons...

for example in promoting EasyWidgetCompany.com. The more specific terms Pascal case and upper camel case refer to a joined phrase where the first letter...

{\displaystyle (1+x)^{n-1}} , via "Pascal's triangle". Blaise Pascal studied the eponymous triangle comprehensively in his Traité du triangle arithmétique. However...

right-handed triangles, the general law of sines, and the solution of a spherical triangle by means of the polar triangle. The book On Triangles by Regiomontanus...

the Ancient Greek κύκλος (kuklos), which means "circle" or "wheel". All triangles have a circumcircle, but not all quadrilaterals do. An example of a quadrilateral...

progressions, classifying them according to the coefficients of the Pascal triangle. He also showed how to solve systems of linear equations by reducing...

tabular presentation for binomial coefficients, now called Pascal's triangle. Blaise Pascal publishes his Treatise on the Equilibrium of Liquids in which...

[citation needed] Through their correspondence in 1654, Fermat and Blaise Pascal helped lay the foundation for the theory of probability. From this brief...

n equal triangles with height h and base s, thus equals 1⁄2nhs. But since h < r and ns < c, the polygon area must be less than the triangle area, 1⁄2cr...

written in binary, are equal to the first 32 rows of the modulo-2 Pascal's triangle, minus the top row, which corresponds to a monogon. (Because of this...

notation, all equivalent to 4. {\displaystyle 4.} Notably, row sums in Pascal's triangle are in equivalence with successive powers of two, 2 n . {\displaystyle...