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What (who) is Pascal's limacon - definition

ROULETTE FORMED BY THE PATH OF A POINT FIXED TO A CIRCLE WHEN THAT CIRCLE ROLLS AROUND THE OUTSIDE OF A CIRCLE OF EQUAL RADIUS

Limacon; Limaçon of Pascal; Limacon of Pascal

Limacon

·noun A curve of the fourth degree, invented by Pascal. Its polar equation is r = a cos / + b.

Pascal's law

PRINCIPLE IN FLUID MECHANICS

Pascal's principle; Pascal's Principle; Pascal's Law; Pascals law; Pascal law; Pascal's barrel; Pascals barrel; 1646 barrel experiment; Pascals principle; Applications of Pascal's law; Pascal’s law; Principle of transmission of fluid-pressure

Pascal's law (also Pascal's principle or the principle of transmission of fluid-pressure) is a principle in fluid mechanics given by Blaise Pascal that states that a pressure change at any point in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere. The law was established by French mathematician Blaise Pascal in 1653 and published in 1663.

https://en.wikipedia.org/wiki/Pascal's_law

Pascal's rule

$Illustrates combinatorial proof: <math>\binom 4 1+\binom 4 2=\binom 5 2.</math>$

COMBINATORIAL IDENTITY ABOUT BINOMIAL COEFFICIENTS

Pascal's identity; Pascal's Identity; Pascal's rule proof; Pascal's formula; Pascal formula; Pascal rule

In mathematics, Pascal's rule (or Pascal's formula) is a combinatorial identity about binomial coefficients. It states that for positive natural numbers n and k,

https://en.wikipedia.org/wiki/Pascal's_rule

Wikipedia

Limaçon

In geometry, a limaçon or limacon , also known as a limaçon of Pascal or Pascal's Snail, is defined as a roulette curve formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius. It can also be defined as the roulette formed when a circle rolls around a circle with half its radius so that the smaller circle is inside the larger circle. Thus, they belong to the family of curves called centered trochoids; more specifically, they are epitrochoids. The cardioid is the special case in which the point generating the roulette lies on the rolling circle; the resulting curve has a cusp.

Depending on the position of the point generating the curve, it may have inner and outer loops (giving the family its name), it may be heart-shaped, or it may be oval.

A limaçon is a bicircular rational plane algebraic curve of degree 4.

https://en.wikipedia.org/wiki/Limaçon