List of formulae involving π
The following is a list of significant formulae involving the mathematical constant π. Many of these formulae can be found in the article Pi, or the article Approximations of π.
Indiana Pi Bill
The Indiana Pi Bill is the popular name for bill #246 of the 1897 sitting of the Indiana General Assembly, one of the most notorious attempts to establish mathematical truth by legislative fiat. Despi
Cadaeic Cadenza
"Cadaeic Cadenza" is a 1996 short story by Mike Keith. It is an example of constrained writing, a story with restrictions on how it can be written. It is also one of the most prodigious examples of pi
Pi (art project)
Pi is the name of a multimedia installation in the vicinity of the Viennese Karlsplatz. Pi is located in the Opernpassage between the entrance to the subway and the subway stop in Secession near the N
Proof that 22/7 exceeds π
Proofs of the mathematical result that the rational number 22/7 is greater than π (pi) date back to antiquity. One of these proofs, more recently developed but requiring only elementary techniques fro
Shulba Sutras
The Shulva Sutras or Śulbasūtras (Sanskrit: शुल्बसूत्र; śulba: "string, cord, rope") are sutra texts belonging to the Śrauta ritual and containing geometry related to fire-altar construction.
Rhind Mathematical Papyrus
The Rhind Mathematical Papyrus (RMP; also designated as papyrus British Museum 10057 and pBM 10058) is one of the best known examples of ancient Egyptian mathematics. It is named after Alexander Henry
Barbier's theorem
In geometry, Barbier's theorem states that every curve of constant width has perimeter π times its width, regardless of its precise shape. This theorem was first published by Joseph-Émile Barbier in 1
A History of Pi
A History of Pi (also titled A History of π) is a 1970 non-fiction book by Petr Beckmann that presents a layman's introduction to the concept of the mathematical constant pi (π).
Chronology of computation of π
The table below is a brief chronology of computed numerical values of, or bounds on, the mathematical constant pi (π). For more detailed explanations for some of these calculations, see Approximations
Six nines in pi
A sequence of six consecutive nines occurs in the decimal representation of the number pi (π), starting at the 762nd decimal place. It has become famous because of the mathematical coincidence and bec
Spiral of Theodorus
In geometry, the spiral of Theodorus (also called square root spiral, Einstein spiral, Pythagorean spiral, or Pythagoras's snail) is a spiral composed of right triangles, placed edge-to-edge. It was n
Mishnat ha-Middot
The Mishnat ha-Middot (Hebrew: מִשְׁנַת הַמִּדּוֹת, lit. 'Treatise of Measures') is the earliest known Hebrew treatise on geometry, composed of 49 mishnayot in six chapters. Scholars have dated the wo
Pilish
Pilish is a style of constrained writing in which the lengths of consecutive words match the digits of the number π (pi). The shortest example is any three-letter word, such as "pie", but many longer
Radian
The radian, denoted by the symbol rad, is the unit of angle in the International System of Units (SI) and is the standard unit of angular measure used in many areas of mathematics. The unit was former
Milü
Milü (Chinese: 密率; pinyin: mìlǜ; "close ratio"), also known as Zulü (Zu's ratio), is the name given to an approximation to π (pi) found by Chinese mathematician and astronomer Zu Chongzhi in the 5th c
Pi Day
Pi Day is an annual celebration of the mathematical constant π (pi). Pi Day is observed on March 14 (3/14 in the month/day format) since 3, 1, and 4 are the first three significant figures of π. It wa
Proof that π is irrational
In the 1760s, Johann Heinrich Lambert was the first to prove that the number π is irrational, meaning it cannot be expressed as a fraction , where and are both integers. In the 19th century, Charles H
Lindemann–Weierstrass theorem
In transcendental number theory, the Lindemann–Weierstrass theorem is a result that is very useful in establishing the transcendence of numbers. It states the following: Lindemann–Weierstrass theorem
Pi
The number π (/paɪ/; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formula
Pi (film)
Pi (stylized as π) is a 1998 American neo-noir psychological thriller film written and directed by Darren Aronofsky in his feature directorial debut. Pi was filmed on high-contrast black-and-white rev
List of topics related to π
This is a list of topics related to pi (π), the fundamental mathematical constant.
* 2π theorem
* Approximations of π
* Arithmetic–geometric mean
* Bailey–Borwein–Plouffe formula
* Basel problem
Approximations of π
Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics, thi
Baudhayana sutras
The Baudhāyana sūtras (Sanskrit: बौधायन) are a group of Vedic Sanskrit texts which cover dharma, daily ritual, mathematics and is one of the oldest Dharma-related texts of Hinduism that have survived
Piphilology
Piphilology comprises the creation and use of mnemonic techniques to remember many digits of the mathematical constant π. The word is a play on the word "pi" itself and of the linguistic field of phil
Pi in the Sky
Pi in the Sky was an experimental, aerial art display where airplanes spelled out pi to decimal 1,000 places in the sky over the San Francisco Bay Area. The display took place on September 12, 2012. I
Dinostratus' theorem
In geometry, Dinostratus' theorem describes a property of Hippias' trisectrix, that allows for the squaring the circle if the trisectrix can be used in addition to straightedge and compass. The theore
International Day of Mathematics
The International Day of Mathematics is 14 March. It is also known as the Pi Day, because the mathematical constant π (pi) can be rounded down to 3.14. UNESCO's 40th General Conference decided Pi Day
Circle
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that i