William Jones | |
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Born | 1675 |

Died | 3 July 1749 (aged 73-74) London, England |

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3.1415926535897932384626433... |

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**William Jones**, FRS (1675 –3 July 1749^{ [1] }) was a Welsh mathematician, most noted for his use of the symbol π (the Greek letter * Pi *) to represent the ratio of the circumference of a circle to its diameter. He was a close friend of Sir Isaac Newton and Sir Edmund Halley. In November 1711 he became a Fellow of the Royal Society, and was later its vice-president.^{ [2] }

William Jones was born the son of Siôn Siôr (John George Jones) and Elizabeth Rowland in the parish of Llanfihangel Tre'r Beirdd, about 4 miles (6.4 km) west of Benllech on the Isle of Anglesey. He attended a charity school at Llanfechell, also on the Isle of Anglesey, where his mathematical talents were spotted by the local landowner Lord Bulkeley, who arranged for him to work in a merchant's counting-house in London.^{ [3] } His main patrons were the Bulkeley family of north Wales, and later the Earl of Macclesfield.^{ [4] }

Jones initially served at sea, teaching mathematics on board Navy ships between 1695 and 1702, where he became very interested in navigation and published *A New Compendium of the Whole Art of Navigation* in 1702,^{ [3] } dedicated to a benefactor John Harris.^{ [5] } In this work he applied mathematics to navigation, studying methods of calculating position at sea. After his voyages were over he became a mathematics teacher in London, both in coffee houses and as a private tutor to the son of the future Earl of Macclesfield and also the future Baron Hardwicke. He also held a number of undemanding posts in government offices with the help of his former pupils.^{[ citation needed ]}

Jones published *Synopsis Palmariorum Matheseos* in 1706, a work which was intended for beginners and which included theorems on differential calculus and infinite series. This used π for the ratio of circumference to diameter, following earlier abbreviations for the Greek word *periphery* (περιφέρεια) by William Oughtred and others.^{ [6] }^{ [7] }^{ [8] }^{ [9] }^{ [10] } His 1711 work *Analysis per quantitatum series, fluxiones ac differentias* introduced the dot notation for differentiation in calculus.^{ [11] }

He was noticed and befriended by two of Britain's foremost mathematicians – Edmund Halley and Sir Isaac Newton – and was elected a fellow of the Royal Society in 1711. He later became the editor and publisher of many of Newton's manuscripts and built up an extraordinary library that was one of the greatest collections of books on science and mathematics ever known, and only recently fully dispersed.^{ [12] }

He married twice, firstly the widow of his counting-house employer, whose property he inherited on her death, and secondly, in 1731, Mary, the 22-year-old daughter of cabinet-maker George Nix, with whom he had two surviving children. His son, also named William Jones and born in 1746, was a renowned philologist who established links between Latin, Greek and Sanskrit, leading to the concept of the Indo-European language group.^{ [13] }

In geometry, the **circumference** is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure. Circumference may also refer to the circle itself, that is, the locus corresponding to the edge of a disk.

The area of study known as the **history of mathematics** is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars.

The number **π** is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. The earliest known use of the Greek letter **π** to represent the ratio of a circle's circumference to its diameter was by Welsh mathematician William Jones in 1706. It is approximately equal to 3.14159. It has been represented by the Greek letter "π" since the mid-18th century, and is spelled out as "**pi**". It is also referred to as **Archimedes' constant**.

In mathematics, **Euler's identity** is the equality

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**Liu Hui** was a Chinese mathematician and writer who lived in the state of Cao Wei during the Three Kingdoms period (220–280) of China. In 263, he edited and published a book with solutions to mathematical problems presented in the famous Chinese book of mathematics known as *The Nine Chapters on the Mathematical Art*, in which he was possibly the first mathematician to discover, understand and use negative numbers. He was a descendant of the Marquis of Zi District (菑鄉侯) of the Eastern Han dynasty, whose marquisate is in present-day Zichuan District, Zibo, Shandong. He completed his commentary to the *Nine Chapters* in the year 263. He probably visited Luoyang, where he measured the sun's shadow.

**John Machin** was a professor of astronomy at Gresham College, London. He is best known for developing a quickly converging series for Pi in 1706 and using it to compute Pi to 100 decimal places.

The year **1706 in science** and technology involved some significant events.

**William Oughtred** was an English mathematician and Anglican clergyman. After John Napier invented logarithms and Edmund Gunter created the logarithmic scales upon which slide rules are based, Oughtred was the first to use two such scales sliding by one another to perform direct multiplication and division. He is credited with inventing the slide rule in about 1622. He also introduced the "×" symbol for multiplication and the abbreviations "sin" and "cos" for the sine and cosine functions.

A **turn** is a unit of plane angle measurement equal to 2*π* radians, 360 degrees or 400 gradians. A turn is also referred to as a **cycle**, **revolution**, **complete rotation** or **full circle**.

**Iriññāttappiḷḷi Mādhavan Nampūtiri** known as **Mādhava of Sangamagrāma** was an Indian mathematician and astronomer from the town believed to be present-day Aloor, Irinjalakuda in Thrissur District, Kerala, India. He is considered the founder of the Kerala school of astronomy and mathematics. One of the greatest mathematician-astronomers of the Middle Ages, Madhava made pioneering contributions to the study of infinite series, calculus, trigonometry, geometry, and algebra. He was the first to use infinite series approximations for a range of trigonometric functions, which has been called the "decisive step onward from the finite procedures of ancient mathematics to treat their limit-passage to infinity".

**Hippocrates of Chios** was an ancient Greek mathematician, geometer, and astronomer.

Approximations for the mathematical constant pi in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era (Archimedes). In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century.

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. Despite its name, the main result claimed by the bill is a method to square the circle, rather than to establish a certain value for the mathematical constant π, the ratio of the circumference of a circle to its diameter. The bill, written by the crank Edward J. Goodwin, does imply various incorrect values of π, such as 3.2. The bill never became law, due to the intervention of Professor C. A. Waldo of Purdue University, who happened to be present in the legislature on the day it went up for a vote.

* Yuktibhāṣā*, also known as

**Ghiyāth al-Dīn Jamshīd Masʿūd al-Kāshī** was a Persian astronomer and mathematician during the reign of Tamerlane.

**Liu Hui's π algorithm** was invented by Liu Hui, a mathematician of the Cao Wei Kingdom. Before his time, the ratio of the circumference of a circle to its diameter was often taken experimentally as three in China, while Zhang Heng (78–139) rendered it as 3.1724 or as . Liu Hui was not satisfied with this value. He commented that it was too large and overshot the mark. Another mathematician Wang Fan (219–257) provided π ≈ 142/45 ≈ 3.156. All these empirical π values were accurate to two digits. Liu Hui was the first Chinese mathematician to provide a rigorous algorithm for calculation of π to any accuracy. Liu Hui's own calculation with a 96-gon provided an accuracy of five digits: π ≈ 3.1416.

**George Tollet** was a mathematician and naval administrator.

The **stereographic projection**, also known as the **planisphere projection** or the **azimuthal conformal projection**, is a conformal map projection whose use dates back to antiquity. Like the orthographic projection and gnomonic projection, the stereographic projection is an azimuthal projection, and when on a sphere, also a perspective projection.

- ↑ "Jones, William".
*The Galileo Project*. Rice University . Retrieved 1 July 2018. - ↑ "Library and Archive catalogue". Royal Society. Retrieved 1 November 2010.
^{[ permanent dead link ]} - 1 2 "Jones biography". University of St. Andrews. Retrieved 12 December 2010.
- ↑
*Cyfri'n Cewri*by Gareth Ffowc Roberts; University of Wales Press (2020); p. 14. - ↑ William Jones (1702).
*A New Compendium of the Whole Art of Navigation*. Retrieved 3 February 2011. - ↑ Jones, William (1706).
*Synopsis Palmariorum Matheseos : or, a New Introduction to the Mathematics*. pp. 243, 263. - ↑ Rothman, Patricia (7 July 2009). "William Jones and his Circle: The Man who invented Pi".
*History Today*. Retrieved 6 October 2017. - ↑ Roberts, Gareth Ffowc (14 March 2015). "Pi Day 2015: meet the man who invented π".
*The Guardian*. ISSN 0261-3077 . Retrieved 6 October 2017. - ↑ Bogart, Steven. "What is pi, and how did it originate?".
*Scientific American*. Archived from the original on 6 October 2017. Retrieved 6 October 2017. - ↑ Archibald, R. C. (1921). "Historical Notes on the Relation ".
*The American Mathematical Monthly*.**28**(3): 121. doi:10.2307/2972388. JSTOR 2972388.It was probably suggested to Jones by Oughtred who employed the symbol in a different sense.

- ↑ Garland Hampton Cannon (1990).
*The life and mind Oriental Jones*. Retrieved 3 February 2011. - ↑ "How a farm boy from Wales gave the world pi". The Conversation. Retrieved 14 March 2017.
- ↑ Roberts, Gareth Ffowc (14 March 2015). "Pi Day 2015: meet the man who invented π".
*The Guardian*. Retrieved 14 March 2015.

- William Jones and other important Welsh mathematicians
- William Jones and his Circle: The Man who invented Pi
- Pi Day 2015: meet the man who invented π

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