Monday, 24 August 2026

On This Day in Math - August 25

  



The lecturer should give the audience full reason to believe that all his powers
have been exerted for their pleasure and instruction.

~Michael Faraday


The 237th day of the year; it would be a singularly uninteresting number (3 x 79) except that the room number in the film, "The Shining" was switched from 217 in the novel to 237 for the film? It seems that the Timberline Lodge had a room 217 but no room 237, so the hotel management asked Kubrick to change the room number because they were afraid their guests might not want to stay in room 217 after seeing the film. *Visual Memory.co.uk


237 is a congruent number, it is the area of a right triangle with rational sides. Can you find such a triangle?
 
Derek Orr added, 237 = 44th prime + 44 = 193 + 44 What's the next number that equals the n-th prime + n?

237 is the difference of two consecutive squares, like all odd integers, 119^2 - 118^2 = 237, but also 41^2 - 38^2 because 6*38+9 = 237.

The 237th square pyramidal number, 4465475, is also a sum of two smaller square pyramidal numbers. There are only four smaller numbers (55, 70, 147, and 226) with the same property. *Wikipedia

237 is a lucky number, it remains after all sieves in the Eratosthenes-like Sieve of Stan Ulam. " Start with the natural numbers. Delete every 2nd number, leaving 1 3 5 7 ...; the 2nd number remaining is 3, so delete every 3rd number, leaving 1 3 7 9 13 15 ...; now delete every 7th number, leaving 1 3 7 9 13 ...; now delete every 9th number; etc." *OEIS

237 is the last of three consecutive odd numbers that have all prime digits.

237 not only has all prime digits, any sub-string of 2 consecutive digits also form a prime, 23, 37.



EVENTS


1609 Galileo leads a procession of Venetian Senators across the Piazza San Marco and up the Campanile for their first look through a telescope. In his words,

"to detect sails and vessels on the sea, so far away that coming under full sail toward the harbor, two hours or more passed before they could be seen without my eyeglass"

*Timothy Ferris, Coming of Age in the Milky Way
Thony Christie, the Renaissance Mathematicus suggests that his actually happened on the 21st of August. This was about two weeks after Thomas Harriott had drawn sketches of the moon through his telescope. Thony suggests that Galileo would not turn his telescope to the heavens for several more months.
He gives the 25th as the day that Galileo is granted a lifetime contract as professor for mathematics at the University of Padua with a salary of 1000 Florins but with the subsidiary clause that he would never receive a raise in salary.

Fresco by Bertini of Galileo showing the Doge of Venice how to use the telescope 
*ESA space history

1664 Hooke writes to Boyle about new experiments he is performing in the damaged steeple of Old St. Pauls.  One involves a 180 foot long pendulum with a four pound weight that swings with a 12 second period. *Lisa Jardine, Ingenious Pursuits pg 65





1691 Edmund Halley delivers paper at Royal Society describing a diving bell he had built for exploration of the “Guynie Friggott”, a Royal African Company ship which foundered on the south coast near Pagham around 1 April 1691:
"The Diving tub [a truncate cone] was made 5 foot at Bottom where it was open, 3 foot at top and 5 foot deep… and under the bell by three ropes I fastned a stage about 2½ foot below to stand on… Within the bell I placed a bench about a foot from the bottom for the men below to sitt on when they should be cold and where a man might sett with all his clouths at any depth drie. I made likewise in the top of the bell a window to let in the light which was very thick and strong but as clear glass as could be gotten, and I placed a small Cock in the same crown of the bell to let out the hot & effete air unfitt for further respiration."

*© Science Museum/Science & Society Picture Library, 

Robert Hooke was unimpressed, declaring Halley’s paper “the Same wth what I Shewed ye Society 25 years Since”.   * Beverley Brown, Halley's Log Blog


1835 "The Great Moon Hoax" refers to a series of six articles that were published in The Sun, a New York newspaper, beginning on August 25, 1835, about the supposed discovery of life and even civilization on the Moon. The discoveries were falsely attributed to Sir John Herschel, perhaps the best-known astronomer
of his time.The story was advertised on August 21, 1835, as an upcoming feature allegedly reprinted from The Edinburgh Courant. The first in a series of six was published four days later on August 25.


The headline read:

“GREAT ASTRONOMICAL DISCOVERIES LATELY MADE
BY SIR JOHN HERSCHEL, L.L.D. F.R.S. &c.
At the Cape of Good Hope
[From Supplement to the Edinburgh Journal of Science]"



The articles described fantastic animals on the Moon, including bison, goats, unicorns, bipedal tail-less beavers and bat-like winged humanoids ("Vespertilio-homo") who built temples. There were trees, oceans and beaches. These discoveries were supposedly made with "an immense telescope of an entirely new principle."

The author of the narrative was ostensibly Dr. Andrew Grant, the traveling companion and amanuensis of Sir John Herschel, but Grant was fictitious.
Portrait of a man-bat ("Vespertilio-homo"), from an edition of the Moon series published in Naples

Eventually, the authors announced that the observations had been terminated by the destruction of the telescope, by means of the Sun causing the lens to act as a "burning glass," setting fire to the observatory. *Wik

You can find all six articles here


1840  #OTD 182 years ago, on Aug 25, 1840: Joseph Gibbons, of Adrian, Michigan received a #patent for a "Grain Drill." It was the 1st practical seeding machine, combining a grain drill with openings & a volume regulating device to deliver seed. *The Nature of Invention @TnoiDoc
It is difficult to find other information about Gibbons.  He appears to be one of many quiet inventors in early American history: practical, clever, and innovative, but largely forgotten by history.  *PBnotes





1875 Smithsonian Secretary Joseph Henry writes to Johns Hopkins President Daniel Gilman is first to suggest Sylvester for the proposed Chair of Mathematics: "Prof. Sylvester of London who intimates a willingness to accept a chair in your university provided one were tendered to him : he is one of the very first living mathematicians and his appointment would give a celebrity to the institution which would at once direct it to the attention of the whole scientific world." *Karen Hunger Parshall, David E. Rowe ; The Emergence of the American Mathematical Research Community, 1876-1900





1893 Eliakim Hastings Moore was apparently the first person to use the English word "field" in its modern mathematical sense and the first to allow for a finite field. He coined the expressions "field of order s" and "Galois-field of order s = qn." All were included in a paper presented to the Congress of Mathematics at Chicago #OTD. They would appear in print when the paper was published December in the Bulletin of the New York Mathematical Society. *Jeff Miller, Earliest Known Uses of Some of the Words of Mathematics

Prior to Moore's use, Heinrich Weber in his influential "Lehrbuch der Algebra" (1895) used “algebraischer Körper” for what we now call a field. This term surely influenced Moore’s use of “field,” as Körper was often translated as “field” in English texts.

Kronecker, Dedekind, and other number theorists had used Zahlbereich, number domain.  In Galois' work h  "corps",  the French word for “body,” was used informally to refer to sets of numbers where rational operations made sense (essentially fields).  *PBnotes




1955 The People’s Republic of China issued stamps honoring the mathematician Tsu Chung-chih (429–500), and astronomers Chang Heng (78–139) and Chong Sui (683–727) and physicist Li Shih-chen (1518–1593). [Scott #246, #245, #247, #248 respectively] *VFR


1959 The National Medal of Science was authorized by act of Congress (73 Stat. L. 431) for out-standing contribution in the physical, biological, mathematical, and engineering sciences on the basis or recommendation of the National Academy of Sciences. President Kennedy made the first presentation February 17, 1963, to the Hungarian-born aerodynamicist Theodor von Karmen. [Kane, p. 373] Godel received one in 1975. Marston Morse did also. Did any other mathematicians? *VFR A list of laureates is here




1976 The Board of Governors of the MAA awarded an honorary life membership to Martin Gardner “for the substantial contributions he has made to the public appreciation of mathematics by his superb exposition in his texts and his column ‘Mathematical Games’ ” in the Scientific American. Gardner was both honored and embarrassed to receive this award, for he had never taken a mathematics course in college. “I consider myself more a journalist and popularizer of mathematics than a genuine mathematician.” While true, he has probability done more than anyone else to popularize mathematics. *VFR




In 1981, the U.S. spacecraft Voyager II came within 63,000 miles (100,000 km) of Saturn's cloud cover, sending back data and pictures of the ringed planet in its closest approach to Saturn, showing not a few, but thousands of rings. Photographs were also sent back of a number of Saturn's moons. The space probe was launched on 20 Aug 1977, and visited Jupiter on 9 Jul 1979, and continued on to Uranus (24 Jan 1986) and Neptune (25 Aug 1989) before leaving the Solar System. Having a nuclear power source, the space probe continues to study ultraviolet sources among the stars, and its fields and particles instruments continue to search for the boundary between the Sun's influence and interstellar space.*TIS




1996  Netscape Communications Corp. announced it had created a software company to enter an alliance with IBM, Oracle, and four Japanese electronics companies: Sony, Nintendo, Sega, and NEC. The new company, Navio Corp., is intended to compete with Microsoft Corp. in creating a new operating system. Netscape and Microsoft remain locked in a bitter battle over Microsoft's linking of its Internet Explorer World Wide Web browser with its Windows operating system, taking customers away from Netscape's Navigator browser. Netscape hoped the new company would develop a variety of computer applications, including video game systems, televisions, and network computers that would use its cheaper technology rather than Microsoft applications.



2012 Voyager 1 had crossed the heliopause and entered interstellar space on August 25, 2012, making it the first human-made object to do so. Moving with relative velocity to the Sun of about 17 km/s *Wik


2014 The Pluto-bound New Horizons spacecraft is now well over halfway through its journey to Pluto. Motoring along at 57,900 km/hr (36,000 mph), it will travel more than 4.8 billion km (3 billion miles) to fly past Pluto and its moons Nix, Hydra and Charon in July 2015.The next planetary milestone for New Horizons will be the orbit of Neptune, which it crosses on Aug. 25, 2014, exactly 25 years after Voyager 2 made its historic exploration of that giant planet. *Universe Today (Hat tip to David Dickinson@Astroguyz

A 1991 Pluto: Not Yet Explored stamp traveled more than 3 billion miles on a spacecraft to the dwarf planet has earned the GUINNESS WORLD RECORDS achievement for the farthest distance traveled by a postage stamp. The stamp also served as NASA’s rallying cry to set the record straight for exploring Pluto.





BIRTHS


1561 Philippe van Lansberge (25 August 1561 – 8 December 1632) was a Flemish clergyman who wrote on mathematics and astronomy. In 1616 he calculated π to 28 places by means of a method in which he seems to have joined the quadratrix of the ancients to trigonometric considerations. He thought that he had found a better approximation than that of Ludolf van Ceulen, who had used the Archimedean method of inscribed and circumscribed polygons and had carried the value of π to thirty-five decimal places before his death in 1610.  In 1615 his widow Adriana Simondochter published a posthumous work by Van Ceulen entitled De arithmetische en geometrische fondamenten. This contained his computation of 33 decimal places for π. The complete 35 decimal place approximation was only published in 1621 in Snell's Cyclometricus.  (Lansberg must have thought his method was somehow a better method, as the 28 digits of his effort were the same as van Cuelen's, which had been published.)

Lansberge's work on astronomy followed Copernicus. He wrote works supporting Copernicus's theories in both 1619 and 1629. However he did not accept Kepler's ellipse theories and he published astronomical tables which he hoped would support Copernicus over Kepler. *SAU He may also have been one of the earliest (1604) to write Q.E.D to abbreviate the Latin phrase "quod erat demonstrandum". *Wik Does anyone have information on what his "new method" for calculating pi was?

*Linda Hall Org


1699 Charles-Étienne Camus (25 August 1699 – 2 February 1768) was a French mathematician who worked on mechanics and cartography and published an important textbook: Cours de mathématiques.*SAU


1844 Thomas Muir (25 August 1844 – 21 March 1934) He is noted for a four volume work on the history of determinants. *VFR He also proved an important lemma about determinants of skew symmetric matrices.

At the University of Glasgow he changed his studies from classics to mathematics after advice from the future Lord Kelvin. After graduating he held positions at the University of St Andrews and the University of Glasgow. From 1874 to 1892 he taught at Glasgow High School. In 1882 he published Treatise on the theory of determinants; then in 1890 he published a History of determinants. In his 1882 work, Muir rediscovered an important lemma that was first proved by Cayley 35 years earlier: In Glasgow he lived at Beechcroft in the Bothwell district.

In 1874 he was elected a Fellow of the Royal Society of Edinburgh, His proposers were William Thomson, Lord Kelvin, Hugh Blackburn, Philip Kelland and Peter Guthrie Tait. He won the Society's Keith Prize for 1881-1883 and a second time in 1895–1897. He served as the Society's Vice President 1888 to 1891. He won the Gunning Victoria Jubilee Prize for 1912 to 1916.




1867 Gury Vasilievich Kolosov (25 August 1867 - 7 November 1936) was a Russian mathematician who worked on the theory of elasticity.*SAU In 1907 Kolosov derived the solution for stresses around an elliptical hole. It showed that the concentration of stress could become far greater, as the radius of curvature at an end of the hole becomes small compared with the overall length of the hole.*Wik


1867 Hendrik De Vries (25 Aug 1867 in Amsterdam, The Netherlands - 3 March 1954 in Binyamina, Israel)"Paul Bockstable describes de Vries's contributions:

Even greater emphasis was placed on the historical development of mathematical sciences in the historical writings of Hendrik de Vries (1867-1954), professor at the Municipal University of Amsterdam. His lectures took in algebra and analysis, but from 1921-22 onwards, he focussed increasingly on his preferred field, giving public lectures on the development of geometry. These culminated in a series of articles in the Nieuw Tijdschrift voor Wiskunde (New Journal of Mathematics), which were later collected, together with some other items, in a three volume publication entitled 'Historische Studien' (1926). De Vries wrote in the introduction that he wanted to focus attention on the historical development of very precisely defined topics, even specific problems or theorems. He pointed out the didactic benefits that the historical approach to mathematical problems could offer.

He continued to publish Historical studies, and as examples we give the title of a small number of these later articles: On the contact and intersection of circles and conic sections (1946), How analytic geometry became a science (1948), On the infinite and the imaginary, or "surrealism" in mathematics (1949), and On relations and transformations (1949).*SAU



1880
Joshua Lionel Cowen
 (25 Aug 1880; 8 Sep 1965) American inventor of electric model trains who founded the Lionel Corporation (1901), which became the largest U.S. toy train manufacturer. At age 18, he had invented a fuse to ignite the magnesium powder for flash photography, which the Navy Department bought from him to be a fuse to detonate submarine mines. He designed an early battery tube light, but without practical application. (His partner, Conrad Hubert, to whom he gave the rights improved it and founded the Eveready Flashlight Company.) At age 22, he created a battery-powered train engine intended only as an eye-catcher for other goods in a store window. To his surprise, many customers wanted to purchase the toy train. Thus he started a model railroad company. *TIS (For Xander)




1898 Helmut Hasse (25 August 1898 – 26 December 1979) was a German mathematician working in algebraic number theory, known for fundamental contributions to class field theory, the application of p-adic numbers to local classfield theory and diophantine geometry (Hasse principle), and to local zeta functions.


 

1974 Seishi Kikuchi (August 25, 1902 – November 12, 1974) was a Japanese physicist, known for his explanation of the Kikuchi lines that show up in diffraction patterns of diffusely scattered electrons. 
Seishi Kikuchi was born and grew up in Tokyo. He graduated in 1926 from Tokyo Imperial University.
In 1928, Kikuchi and Shoji Nishikawa observed and gave a theoretical explanation of the electron backscatter diffraction pattern from a calcite cleavage face. In 1929, he went to Germany as a student and stayed at the University of Göttingen and Leipzig University. In 1934, he was appointed as professor at Osaka Imperial University and directed the construction of Japan's first DC high voltage Cockcroft-Walton accelerator.
In 1955, he was appointed as the first director of the Institute of Nuclear Research at the University of Tokyo, and successfully presided over the completion of the variable energy cyclotron.
Between 1959 and 1964, he was chairman of the Japan Atomic Energy Research Institute.
*Wik




1904 Cecil John Alvin Evelyn (25 August 1904 in London, England, 24 May 1976 in Deptford, Kent, England) He graduated with a B.A. in 1927. At Oxford he had become friendly with Hubert Linfoot who was one year older than Evelyn. Linfoot graduated in 1926 but had remained at Oxford undertaking research advised by G H Hardy. Both Evelyn and Linfoot were interested in number theory at this time and they worked together.

Between 1929 and 1933, Evelyn and Linfoot produced six joint papers, all with the title On a problem in the additive theory of numbers.

A book was to be Evelyn's final mathematical publication. He published the book (with G B Money-Coutts and J A Tyrrell) The seven circles theorem and other new theorems (1974) which was translated into French and published as (with G B Money-Coutts and J A Tyrrell) Le théorème des sept cercles (1975). R D Nelson, Ampleforth College, York, writes :-

This elegant book will please all geometers, amateur and professional, and deserves a place in every library. Using a variety of essentially elementary methods, the authors present and prove a number of new or little known theorems in plane geometry. To emphasise the aesthetic appeal of these results and to assist the argument in places, over forty of its pages carry diagrams of high quality. The book has three independent sections but the style of writing is uniform. The authors invite and sometimes require the co-operation of the reader as he works through the book and, in this way, they prepare him for the intricacies of the final and most difficult section. The first part re-introduces an algebra of vectors, due to Silberstein, in which the laws of addition and equivalence are such that few of the usual properties are obvious. For example, associativity of addition requires two applications of Desargues' theorem for its proof. No use is made of this algebra. The second section opens with a delightful new theorem concerning seven Pascal lines derived from a heptagon inscribed in a conic. This is followed by a number of extensions and generalisations of the theorems of Pascal and Brianchon. ... Finally there are four new theorems about closed chains of six circles ... In the first theorem each circle touches a seventh, in the second the circles alternately touch a pair of parallel lines, in the third each circle touches two of the sides of a triangle and in the fourth each circle touches two out of three fixed circles making a configuration of nine circles in all. The first theorem, beautifully proved by inversion, gives the book its title.


The remarkable thing about this book is that the theorem of the title is an elementary geometry theorem which appears to have been first discovered by the authors of this book. The theorem concerns six circles, all inside and touching a seventh circle. These six circles all touch each other. Join each of the six points on the outer circle where the six inner circles touch it, to the point of contact directly opposite it. The theorem states that these three lines are concurrent. *SAU





1924 Harlan James Smith (August 25, 1924 – October 17, 1991)

Harlan J. Smith was an American astronomer born in Wheeling, West Virginia, the son of Paul and Anna McGregor Smith.
In 1963 he was named chair of the University of Texas astronomy department where he also became the director of the McDonald Observatory. At the observatory he oversaw the construction of the 2.7m telescope he had persuaded NASA to build in support of planetary missions. From 1966 until 1970 he was a member of the Committee on the Large Space Telescope, an ad hoc group formed by the National Academy of Sciences, the work of which resulted in the Hubble Space Telescope. He also was the chairperson of the NASA Space Science Board from 1977 until 1980, and there helped propose NASA's Great Observatories program. He retired in 1989.
During his career he studied variable stars, the radio emission from planets, as well as photometry and astronomical instruments. With Dorrit Hoffleit, he was the first to observe the optical variability of quasars, and discovered a class of variable stars known as Delta Scuti variables.
He was an enthusiastic proponent of educating the public on astronomy, and developed the radio program "Star Date". He also developed "The Story of the Universe", a series of educational films. He was also a proponent of international cooperation, particularly with China which he visited several times. He served as co-editor of the Astronomical Journal as well as acting secretary for the American Astronomical Society. *TIA




1964 Maxim Lvovich Kontsevich (25 August 1964) is a Russian mathematician. He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami. He received the Henri Poincaré Prize in 1997, the Fields Medal in 1998, and the Crafoord Prize in 2008. His work concentrates on geometric aspects of mathematical physics, most notably on knot theory, quantization, and mirror symmetry. His most famous result is a formal deformation quantization that holds for any Poisson manifold. He also introduced knot invariants defined by complicated integrals analogous to Feynman integrals. In topological field theory, he introduced the moduli space of stable maps, which may be considered a mathematically rigorous formulation of the Feynman integral for topological string theory. These results are a part of his "contributions to four problems of geometry" for which he was awarded the Fields Medal in 1998. 

He won the Breakthrough Prize in Mathematics in 2015.*Wik






1986  Nina Holden (unknown date, 1986) is a Norwegian mathematician interested in probability theory and stochastic processes, including graphons, random planar maps, the Schramm–Loewner evolution, and their applications to quantum gravity. She was a Junior Fellow at the Institute for Theoretical Studies at ETH Zurich, and is currently an associate professor at the Courant Institute of Mathematical Sciences of New York University.

As a student at Berg Upper Secondary School in Oslo, Norway, Holden became the first woman to win the Abel competition, Norway's national Mathematical Olympiad. She competed in 2005 in the International Mathematical Olympiad, where she earned an honorable mention with one of the two top scores on the Norwegian team.

She became a student at the University of Oslo in Norway, where she earned a bachelor's degree in mathematics and computational science in 2008 and a master's degree in applied mathematics in 2010. While a student in Oslo, she also visited the University of Oxford from 2006 to 2007.

After three years of work as an energy market analyst, she went to the Massachusetts Institute of Technology for graduate study, and completed her Ph.D. there in 2018. Her dissertation, Cardy embedding of random planar maps and a KPZ formula for mated trees, was supervised by Scott Sheffield.

In association with the 2021 Breakthrough Prizes, Holden was awarded one of three 2021 Maryam Mirzakhani New Frontiers Prizes, for early-career achievements by a woman mathematician, The citation reads: "for work in random geometry, particularly on Liouville Quantum Gravity as a scaling limit of random triangulations." The particular work refers to her joint work with Xin Sun on the convergence of uniform triangulations under a conformal embedding. The other two winners of the prize were Urmila Mahadev and Lisa Piccirillo. She received the 2022 Viggo Brun Prize of the Norwegian Mathematical Society, "for her exceptionally deep and broad contributions to probability theory, especially for her work on random surfaces and quantum gravity in two dimensions". In 2023, she was a recipient of the Rollo Davidson Prize, and in the following year, she was awarded the EMS Prize "for her profound contributions to probability theory and its applications to statistical physics, including results linking Liouville quantum gravity, the Schramm-Loewner evolution, and random triangulations".

Holden was elected to the Norwegian Academy of Science and Letters in 2026 *Wik

Her father is Lars Holden (born 1959 ) ,  a Norwegian mathematician who was previously CEO at the Norwegian Central Computational Science Centre . He has been employed at the Norwegian Central Computational Science Centre since 1984. *Wik

*2017*





DEATHS


1679 Jonas Moore was an English man of science important for his support of mathematics and astronomy.*SAU He seems to have been the first to use "cot" for the cotangent function. He also founded the Royal Mathematical School at Christ's Hospital with Samual Pepys to train young men in the mathematics of navigation. *Wik He made critical contributions to the draining of the fens in England (making my drive from Lakenheath to Stoke Ferry much easier) and was instrumental in convincing Charles II to create the Royal Observatory and appoint Flamsteed as Astronomer Royal. *The day that Jonas died, Renaissance Mathematicus.


1819 James Watt (19 Jan 1736,25 Aug 1819) Scottish instrument maker and inventor whose steam engine contributed substantially to the Industrial Revolution. In 1763 he repaired the model of Newcomen's steam engine belonging to Glasgow University, and began experiments on properties of steam. The Newcomen engine was simple in design: it acted as a pump and a jet of cold water was used to condense the steam. Watt improved on this design by adding a separate condenser and a system of valves to make the piston return to the top of the cylinder after descending. He took out a patent for the separate condenser in 1769. He later adapted the engine to rotary motion, making it suitable for a variety of industrial purposes, and invented the flywheel and the governor.*TIS



1822 Sir William (Frederick) Herschel (15 Nov 1738, 25 Aug 1822) German-born British astronomer, the founder of sidereal astronomy for the systematic observation of the heavens. In 1773, Herschel made and began using his first telescope. With it he began a project that would continue for the rest of his life: that of systematically studying the sky. Through this study he discovered the planet Uranus, many new nebulae, clusters of stars and binary stars. Herschel hypothesized that nebulae are composed of stars, developed a theory of stellar evolution and was the first person to correctly describe the form of our Galaxy, the Milky Way. He discovered the Saturnian satellites Mimas and Enceladus (1789) and the Uranian satellites Titania and Oberon (1787). He was probably the most famous astronomer of the 18th century.*TIS



1867 Michael Faraday(22 September 1791 – 25 August 1867) died at Hampton Court, Middlesex, England. English physicist and chemist whose many experiments contributed greatly to the understanding of electromagnetism. Although one of the greatest experimentalists, he was largely self-educated. Appointed by Sir Humphry Davy as his assistant at the Royal Institution, Faraday initially concentrated on analytical chemistry, and discovered benzene in 1825. His most important work was in electromagnetism, in which field he demonstrated electromagnetic rotation and discovered electromagnetic induction (the key to the development of the electric dynamo and motor). He also discovered diamagnetism and the laws of electrolysis. He published pioneering papers that led to the practical use of electricity, and he advocated the use of electric light in lighthouses. *TIS




1908 Antoine-Henri Becquerel (15 Dec 1852, 25 Aug 1908) Antoine-Henri Becquerel was a French physicist who discovered radioactivity. In 1903 he shared the Nobel Prize for Physics with Pierre and Marie Curie. His early researches were in optics, then in 1896 he accidentally discovered radioactivity in fluorescent salts of uranium. He left some uranium mineral crystals in a drawer on a plate in black paper. Later, he developed the plate and found it was fogged, even though the crystals without ultraviolet radiation from sunlight were not fluorescing. Thus the salt was a source of a penetrating radiation. Three years afterwards he showed that it consists of charged particles that are deflected by a magnetic field. Initially, the rays emitted by radioactive substances were named after him. *TIS




1921 Peter Cooper Hewitt (May 5, 1861 – August 25, 1921) was an American electrical engineer and inventor, who invented the first mercury-vapor lamp in 1901. Hewitt was issued U.S. patent #682692 on September 17, 1901.
In 1902 Hewitt developed the mercury arc rectifier, the first rectifier which could convert alternating current power to direct current without mechanical means. It was widely used in electric railways, industry, electroplating, and high-voltage direct current (HVDC) power transmission. Although it was largely replaced by power semiconductor devices in the 1970s and 80s, it is still used in some high power applications.
In 1907 he developed and tested an early hydrofoil. In 1916, Hewitt joined Elmer Sperry to develop the Hewitt-Sperry Automatic Airplane, one of the first successful precursors of the UAV. *Wik




1956 George Washington Pierce (11 Jan 1872, 25 Aug 1956) American inventor who was a pioneer in radiotelephony and a noted teacher of communication engineering. He did work that led to the practical application of a variety of experimental discoveries in piezoelectricity and magnetostriction. He developed the Pierce oscillator, which utilizes quartz crystal to keep radio transmissions precisely on the assigned frequency and to provide similar accuracy for frequency meters. His other accomplishments include the mathematical calculation of the radiation properties of radio antennae; invention of the mercury-vapor discharge tube, which was the forerunner of the thyratron; invention of a method of recording sound on film; and sound generation by bats and insects. *TIS





1997 Calogero Vinti ( Agrigento , 12 July 1926 – Perugia , 25 August 1997 ) was an Italian mathematician , student of Emilio Bajada . He majored in mathematics at the university of Palermo in 1949 , under the direction of prof. Michele Cipolla , Benedetto Pettineo, but above all Emilio Bajada . Still at the University of Palermo, he dealt with problems inherent to the study of partial differential equations . Professor of Mathematical Analysis since 1960 , from 1962 he taught at the University of Modena and Reggio Emilia until 1970 , when he became a professor at the University of Perugia . In Perugia he was also among the founders of the university faculty of engineering of which he was also the first dean .

The Vinti Prize awarded by the Italian Mathematical Union is dedicated to the memory of Calogero Vinti .



2005 Ruth Aaronson Bari (November 17, 1917 – August 25, 2005) was an American mathematician known for her work in graph theory and homomorphisms. The daughter of Polish-Jewish immigrants to the U.S., she was a professor at George Washington University beginning in 1966. She was the mother of environmental activist Judi Bari, science reporter Gina Kolata and art historian Martha Bari.*Wik

She continued to write mathematical abstracts well into later life, but always by hand. Ruth never owned or used a computer. Her colleagues would receive her carefully slanted, handwritten abstracts—even as email and digital typesetting became standard. She simply found comfort in pen and paper, which many find both amusing and endearingly old‑school.*PBnotes





2012 Neil Alden Armstrong, (August 5, 1930, August 25, 2012) U.S. astronaut, was the first man to walk on the moon (20 Jul 1969, Apollo 11). He served as a Navy pilot during the Korean War, then joined the National Advisory Committee for Aeronautics (which became NASA), as a civilian test pilot. In 1962, he was the first civilian to enter the astronaut-training program. He gained experience as command pilot of the Gemini 8 mission, which accomplished the first physical joining of two orbiting spacecraft. Later he was commander of the Apollo 11 lunar mission. From 1971, he worked as professor of aerospace engineering at the University of Cincinnati. He was a member of the commission that investigated the 1986 Challenger space shuttle disaster.*TIS Armstrong died following complications resulting from cardiovascular procedures. *Mercury News




2016 – George Spencer-Brown (April 2, 1923, Grimsby, Lincolnshire, England, August 25, 2016  ) is a polymath best known as the author of Laws of Form. He describes himself as a "mathematician, consulting engineer, psychologist, educational consultant and practitioner, consulting psychotherapist, author, and poet.",*Wik
In a 1976 letter to the Editor of Nature, Spencer-Brown claimed a proof of the four-color theorem, which is not computer-assisted. The preface of the 1979 edition of Laws of Form repeats that claim, and further states that the generally accepted computational proof by Appel, Haken, and Koch has 'failed' (page xii). Spencer-Brown's claimed proof of the four-color theorem has yet to find any defenders; Kauffman provides a detailed review of parts of that work. *VFR

During his time at Cambridge, Spencer-Brown was a chess half-blue. He held two world records as a glider pilot, and was a sports correspondent to the Daily Express. He also wrote some novels and poems, sometimes employing the pen name James Keys.

Spencer-Brown died on 25 August 2016. He was buried at the London Necropolis, Brookwood, Surrey.



2016   James Watson Cronin (September 29, 1931 – August 25, 2016) American particle physicist, who shared (with Val Logsdon Fitch) the 1980 Nobel Prize for Physics for "the discovery of violations of fundamental symmetry principles in the decay of neutral K-mesons." Their experiment proved that a reaction run in reverse does not follow the path of the original reaction, which implied that time has an effect on subatomic-particle interactions. Thus the experiment demonstrated a break in particle-antiparticle symmetry for certain reactions of subatomic particles.*TIS



2020 Rebeca Guber was one of the first Argentinian women mathematicians. She played a major role in the development of computing in Argentina. She also made important contributions to education particularly teaching science in schools.

In 1960, she was part of the group of scientists and teachers who created the Argentine Calculation Society, under the direction of Manuel Sadosky, with whom, years before, she had written the textbook, Elements of Differential and Integral Calculus. In the years since its first publication, the text has been widely disseminated among advanced students of science and engineering, and republished many times.

The Calculation Institute (IC) of the Faculty of Exact and Natural Sciences was created around 1959. Rebeca Guber took over as Technical Secretary on June 6, 1960. A few months later, the computer named Clementina (which was installed in 18 metal cabinets stretching 18 metres (59 ft) long) became known as the first computer installed for scientific research in Argentina and began its operations at the IC. *Wik, (assorted other)






Credits :
*CHM=Computer History Museum
*FFF=Kane, Famous First Facts
*NSEC= NASA Solar Eclipse Calendar
*RMAT= The Renaissance Mathematicus, Thony Christie
*SAU=St Andrews Univ. Math History
*TIA = Today in Astronomy
*TIS= Today in Science History
*VFR = V Frederick Rickey, USMA
*Wik = Wikipedia






Simon Stevin's Non-fraction method of Decimals

  


I mentioned the name of Simon Stevin to a young math teacher in talking about decimal fractions the other day and the response I got led me to believe he had never heard of him. I didn't ask, so maybe I was wrong, but it made me think I wanted to post this older blog just to bring his name to some new teachers out there who may not yet have heard of this amazing guy:
------------------------------------------------------------------------------------------------

A while back, John Cook at the Endeavour Blog  posted about a comment by Keith Kendig in his book, Conics.

It happened when I started learning about decimals in school. I knew then that ten has one zero, a hundred has two, a thousand three, and so on. And then this teacher starts saying that tenth doesn’t have any zero, a hundredth has only one, a thousandth has only two, and so on. … Only much later did I have enough perspective to put my finger on the problem: The decimal point is always misplaced!



John demonstrates the proposed solution as well. 


The proposed solution is to put the decimal point above the units position rather than after it. Then the notation would be symmetric. For example, 1000 and 1/1000 would look like this:
Of course decimal notation isn’t likely to change, but the author makes an interesting point (No pun intended).

 

I then commented on John's blog that, in fact, Simon Stevin, who probably is more responsible than anyone else for introducing decimal numbers into the west had used a very similar approach as the one suggested by Keith Kendig. The image below is from De Thiende, which translated into English appeared as Decimal arithmetic. In fact, Stevin didn't think of his method as using fractions at all. In fact the English Translation in the full, self-advertising manner of books of the period, was Decimal arithmetic: Teaching how to perform all computations whatsoever by whole numbers without fractions, by the four principles of common arithmetic: namely, addition, subtraction, multiplication, and division. (My emphasis)

So, as I mentioned at John's blog, "He seems to have viewed the values as integers, much as we now think of minutes and seconds as integers. Few people consciously think of 3 minutes as 3/60 of an hour in regular computations. This was the view that Stevin took. He did not even use fraction names for the place values, but referred to them as prime, second, third, etc. (It has been often suggested that the use of ', ", etc for the minute and second in time, 12 23' 13", date back to the Greeks measure for angles of arc, but Cajori finds no evidence of their use prior to the 16th Century.  (The symbols became common in print in the 16th century, especially in works of Regiomontanus, Tycho Brahe, and their followers.)

The names minute and second came from the Latin for "minor part" which gave us minute, and the "second minor part" which gives us seconds.)

Decimal fractional numeration and the

decimal point in 15th-century Italy


The notation, in spite of the objections of folks like Mr. Kendig, didn't seem very useful, and so in 1612 Bartholomaeus Pitiscus opted for the decimal point we use today, and when it was used by John Napier, well here we are. 
His decimal points first appear in his 1608 edition of Trigonometria in the added trigonometric tables and can also be found in the 1612 edition. (The word 'trigonometry' is due to Pitiscus and first occurs in the title of his work Trigonometria: sive de solutione triangulorum tractatus brevis et perspicuus first published in Heidelberg in 1595 as the final section of A Scultetus's Sphaericorum libri tres methodicé conscripti et utilibus scholiis expositi. In 1600 a revised version of Pitiscus's work was published in Augsburg as Trigonometriae sive de dimensione triangulorum libri quinque. )



Now if all Simon Stevin had done was introduce a really nice book on decimal fractions, you could give him a pat on the back and a big
"ataboy" and send him on his way, but:
He was big on hydrostatics, handy if you are Dutch, and in fact he made many improvements in the Dutch windmill pumping system. He also figured out that water pressure depended on height, and not on the shape of the container, and he was the first to explain the tides as the effect of the moon.
And for a walk on the wild side, he invented those land yachts you see racing up and down beaches. The one he made for the Prince of Orange was said to outrun the horses (with 26 passengers!).
he was one of the first to write about the equal temperament musical scale related to the twelfth root of two, which he seems to have gotten from Galileo's father.
And in math, he was the first in the west to write about a general solution to the quadratic equation; which alone should make him a name known to high school students and teachers.



In the Stevin plaza on the statue of Stevin is an image that many find curious.  A nice explanation below comes from the Futility Closet of Greg Ross.
"Drape a chain of evenly spaced weights over a pair of (frictionless) inclined planes like this. What will happen? There’s more mass on the left side, but the slope on the right side is steeper. Simon Stevin (1548-1620) realized that in fact the chain won’t move at all — if it did, we could link the ends as shown and produce a perpetual motion machine."




This is remembered as the “Epitaph of Stevinus.” Richard Feynman wrote, “If you get an epitaph like that on your gravestone, you are doing fine.”
 

the statue in the middle of Simon Stevin plein in Bruges.  


 
It is important to distinguish between the (re)invention of the decimal point, and the creation of decimal fractions.  
In a mercantile context, Leonardo of Pisa had come close to a pure representation of decimal
fractions in his 1202 Liber abaci by extending from metrological considerations, where (for instance) he represented the number

71.7579463519 as  9  1  5   3   6   4    9   7   5   7      71.    
                             10 10 10 10 10 10 10 10 10 10  

Note the fraction is read from right to left and if you read the value reading only one upper digit at a time the first approximation is 7/10.  When you add in the five you multiply all the tens below and right of it to get 5/100 more or 75/100. 

On This Day in Math - August 24



The shortest path between two truths in the real domain passes through the complex domain.

~Jacques Salomon Hadamard


The 236th day of the year; 236 is the sum of twelve consecutive primes, 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41

Since 236/4 = 59, 236 = 60^2 - 58^2.

The sum of the divisors of 236, 2+2 + 59 =63, the product of it's digits is 2x3x6 = 36, the reversal of the sum of the divisors.*Prime Curios

236^2 + 1 is a prime

236 is the average of two consecutive primes 233 and 239.

236 is a Happy Number. The sum of the squares of the digits under iteration go to 1.


And 236 is the number of possible positions in Othello after 2 moves by both players. *Erich Friedman (Students might try to figure out how many possible positions are there in tic-tac-toe after 2 moves by each player. Entice them with this number fact from Cliff Pickover @pickover )




EVENTS


79 Thousands were killed when the cities of Pompeii and Herculaneum were buried by the eruption of Mount Vesuvius.*VFR An estimated 20,000 people died. When discovered, the sites became astonishing archaeological time capsules. 

Vesuvius has erupted many times since. It is the only volcano on Europe's mainland to have erupted in the last hundred years. It is regarded as one of the most dangerous volcanoes in the world

Mount Vesuvius as seen from the ruins of Pompeii*Wik



1563 Tycho Brahe watched a spectacular conjunction of Jupiter and Saturn, and found that the time of the closest approach was days away from the predictions in the Ptolemaic Tables. He emerged from the experience with a life long passion for accuracy and exactitude and a devotion to the verdict of the sky. *Timothy Ferris, Coming of Age in the Milky Way  

A great conjunction is a conjunction of the planets Jupiter and Saturn, when the two planets appear closest together in the sky. Great conjunctions occur approximately every 20 years when Jupiter "overtakes" Saturn in its orbit.

 Near conjunction, Dec 16, 2020 *Wik



1609 Galileo presented this telescope to the Doge in the Presence Chamber of the Doge's Palace and was confirmed in the professorship for life with his salary doubled! [Letter of 29 Aug 1609 from Galileo to his brother‑in‑law in Florence, quoted in Fahie, pp. 82‑83.] '... an object which is at a distance of nine miles will appear as if it were only one mile away, ... one can detect ships and sails of the enemy at sea ... we can see him two or more hours earlier than he can possibly see us, ....' [Galileo's letter to the Doge on 24 Aug 1609, quoted in Scandone, pp.12‑14 ; in Van Helden, pp. 7-8]. Through the connections of his friend Paolo Sarpi, Galileo presents an eight-powered telescope to the Venetian Senate. He is rewarded by a doubling of his salary and life- tenure at the University of Padua. He is disappointed by the fine print. *Galileo Project (I love the idea that the Greek name "telescope" was created by an actual Greek mathematician. It was created in 1611 by the Greek mathematician Giovanni Demisiani for one of Galileo Galilei's instruments presented at a banquet at the Accademia dei Lincei.)







1654 Pascal wrote a letter to Fermat, discussing Fermat’s solution to the “problem of points.”


I was not able to tell you my entire thoughts regarding the problem of the points
by the last post,and at the same time, I have a certain reluctance at doing it for fear lest
this admirable harmony which obtains between us and which is so dear to me should
begin to flag, for I am afraid that we may have different opinions on this subject. I
wish to lay my whole reasoning before you, and to have you do me the favor to set me
straight if I am in error or to indorse me if I am correct. I ask you this in all faith and
sincerity for I am not certain even that you will be on my side.
When there are but two players, your theory which proceeds by combinations is
very just. But when there are three, I believe I have a proof that it is unjust that you
should proceed in any other manner than the one I have. But the method which I
have disclosed to you and which I have used universally is common to all imaginable
conditions of all distributions of points, in the place of that of combinations (which I do
not use except in particular cases when it is shorter than the general method), a method
Which is good only in isolated cases and not good for others.
I am sure that I can make it understood, but it requires a few words from me and a
little patience from you. (I wish I had known this phrase early in my teaching career… it seems it would have been frequently useful)

*http://www.york.ac.uk/depts/maths/histstat/pascal.pdf




1731 Darwin receives a letter from his old teacher, J S Henslow, that will change his life: "I have been asked by Peacock who will read & forward this to you from London to recommend him a naturalist as companion to Capt Fitzroy employed by Government to survey the S. extremity of America— I have stated that I consider you to be the best qualified person I know of who is likely to undertake such a situation— I state this not on the supposition of yr. being a finished Naturalist, but as amply qualified for collecting, observing, & noting any thing worthy to be noted in Natural History." *DarwinProject  




1775 Imen, Vtin, Caapan... Now you can count to three in the language of the native Americans living around Angel Island in San Francisco Bay. On this date the ship carrying Fr. Vicnete Maria, who spoke several native languages quite fluently interviewed them and recorded their responses for counting to 14. Later records of similar interviews in nearby regions match up very well to support the authenticity of this earliest known record of Native American numbers in the west. *Barbanabas Hughes. The priest accompanied explorer Juan de Ayala on the first Spanish naval entry aboard the San Carlos into the San Francisco Bay.  On 12 August 1775, Ayala gave the name Isla de Alcatraces, "island of the pelicans ", and what is now Yerba Buena Island, "on account of the abundance of those birds that were on it." The name was transferred in 1826 to Alcatraz Island. The word "Alcatraz" comes from Spanish, which in turn was a probably a loan word from Arabic, القطرس al-qaṭrās meaning "sea eagle." The pelicans native to San Francisco Bay are brown pelicans.




1804  Joseph Louis Gay-Lussac and Jean-Baptiste Biot ascending in a hot-air balloon above the Parisian suburb of Place Saint-Cloud, to an altitude of over 7,000 meters to study the earth’s atmosphere. Fortunately they didn’t pass out. *CoffeeFueled  

 One account is of just that.  One of the scientists DID pass out at about 35,000’.  Fortunately, the other was able to open the upper vent.  *Tim Hamilton

This ascent was commissioned by the French National Institute in the wake of renewed interest in atmospheric physics, particularly the role of air in light propagation and magnetism. Biot was tasked with investigating the magnetism of the upper atmosphere, while Gay-Lussac, already becoming known for his work in chemistry, studied the composition of gases.

They brought barometers, thermometers, electrometers, and bottles to collect air samples for chemical analysis.

Just a few weeks later, on September 16, Gay-Lussac made a solo ascent and reached 7,016 meters, breaking their previous altitude record and setting a balloon altitude record that stood for nearly 50 years. Biot had not joined due to the physical toll the first flight took on him.

Gay-Lussac later used the air samples collected to develop his law of combining gas volumes and other gas laws. The mission helped lay the groundwork for modern meteorology and atmospheric chemistry. *PBnotes




In 1853, it has been claimed that the first potato chips were prepared by Chef George Crum, an American Indian, at Moon's Lake House in Saratoga Springs, NY. When railroad magnate Commodore Cornelius Vanderbilt was dining there, he sent his fried potatoes back to the kitchen, complaining they were "too thick." The chef, George Crum retaliated by slicing paper thin strips of potatoes and frying them to a crisp. But Vanderbilt loved these "Saratoga Chips" and they became an instant success.* TiS




1931 Oh Yes, They really did!  Time Magazine published a story about a minister/University President who had trisected the angle, Rev. Jeremiah Joseph Callahan declared, "the problem can easily be solved by plane geometry."  The conjecture from antiquity had been proved impossible in 1837, at least for mathematicians.  I guess Lewis Carroll said it best, 

"I daresay you haven't had much practice,' said the Queen. 'When I was your age, I always did it for half-an-hour a day. Why, sometimes I've believed as many as six impossible things before breakfast."  *Ht to Dave Richeson@divbyzero in his Tales of Impossibility.




1971 The Soviet Union issued a stamp for the centenary of the birth of the British physicist, Ernest Rutherford. Beside his picture is a diagram of the movement of atomic particles which involves a hyperbola. [Scott #3888].*VFR

It seems that it was sometime in the period around 1908–1911, when he was at Manchester and developing the nuclear model of the atom that he was quoted by students as saying, "All science is either Physics or stamp collecting."





2006 And then there were only eight.... the International Astronomical Union decided to rescind Pluto’s status as a planet and reclassify it as another entity called a “dwarf planet”. *FFF, pg 537
I have been told that as early as 1980 at a celebration of the discovery, Brian Marsden, a long time opponent of Pluto as a planet, had said, "I will kill your Planet if it's the LAST thing I DO!". (I'm told this story is in :The Case for Pluto, by Alan Boyle)

 New Horizons spacecraft captured this high-resolution
 enhanced color view of Pluto on July 14, 2015. *LOC

 





BIRTHS

1556 Sophie Brahe
, also known as Sophia Thott (24 August 1556 – 1643), was a Danish horticulturalist and student of astronomy, chemistry, and medicine, best known for assisting her brother Tycho Brahe with his astronomical observations.
She was born in Knudsturp, as the youngest of ten children, to Otte Brahe, advisor to the King of Denmark; and Beate Bille Brahe, leader of the royal household for Queen Sophie. Famous astronomer Tycho Brahe, 10 years her senior, was Sophie's oldest brother. When she was 17, she started assisting her brother with his astronomical observations in 1573, and helped him with the work that became the basis for modern planetary orbit predictions. She frequently visited his observatory Uranienborg, on the then-Danish island of Hveen. Tycho wrote that he had trained her in horticulture and chemistry, but he told her not to study astronomy. He expressed with pride that she learned astronomy on her own, studying books in German, and having Latin books translated with her own money so that she could also study them. Brother and sister were united by their work in science, and by their family's opposition to science as an appropriate activity for members of the aristocracy. Tycho referred with admiration to her 'animus invictus', her "determined mind" *Wik  

Portrait from 1602 *Wik






1561 Bartholomeo Pitiscus born. He coined the word “Trigonometry,” and first used it in print in 1595.*VFR Pitiscus achieved fame with his influential work written in Latin, called Trigonometria: sive de solutione triangulorum tractatus brevis et perspicuus (1595, first edition printed in Heidelberg), which introduced the word "trigonometry" to the English and French languages, translations of which had appeared in 1614 and 1619, respectively. It consists of five books on plane and spherical trigonometry. Pitiscus is sometimes credited with inventing the decimal point, the symbol separating integers from decimal fractions, which appears in his trigonometrical tables and was subsequently accepted by John Napier in his logarithmic papers (1614 and 1619).*Wik






1846 Professor Enoch Beery Seitz, the most distinguished mathematician of his day (Fairfield county, Ohio, August 24, 1846,- Kirksville, Missouri, October 8, 1883) He began his mathematical course in 1872 by contributing solutions to the problems proposed in the "Stairway" department of the Schoolday Magazine, conducted by Artemas Martin. His masterlv and original solutions to difficult Average and Probability problems, soon attracted universal attention among mathematicians.  Dr. Martin, being desirous to know what works he had treating on that difficult subject, was greatly surprised to learn that he had no works upon the subject, but had learned what he knew about that difficult department of mathematical science by studying the problems and solutions in the Schoolday Magazine. He then contributed to the Analyst, the Mathematical Visitor, the Mathematical Magazine, the School Visitor, and the Educational limes, of London, England.
He took a mathematical course in the Ohio Wesleyan University in 1870, but did not finish it or graduate. In 1879,he was elected one of the teachers in the Greenville High School, which position he held till 1879. On the 24th of June, 1875, he married Miss Anna E. Kerlin, one of Dark county's most refined ladies. In 1879, he was elected to the chair of mathematics in the Missouri State Normal schlool, Kirksville, Missouri. During his first year as chair, he solved a problem posed by Professor Woolhouse in 1864 concerning the probability of firing a musket ball through the air at random. In the same vein, Seitz proposed a similar problem to the editor Artemis Martin in The Mathematical Visitor. Because of its difficulty, the problem received a great deal of attention and notoriety. Perhaps inspired by the Greenville hometown legend Annie Oakly and her rifleman ship, Seitz offered the problem:

"A cube is thrown into the air and a random shot fired through it; find the chance that the shot passes through the opposite side."

After nearly a year with no solutions forthcoming, Seitz published his own solution in The Mathematical Visitor:
He remained at Kirksville until his death death from that "demon of death," typhoid fever on the 8th of October, 1883.
On March the llth, 1880,he was elected a member of the London Mathematical Society, being the fifth American so honored. 
He is often called "Teacher of the Great", for his many distinguished students: "When Professor Seitz went to Kirksville, in spite of the youth of the institution, he found an enthusiastic and capable body of students. He entered upon his work with his usual energy and the results of it are still felt throughout the country. He had in his class in algebra at one time, in the autumn of 1880, John J. Pershing who was destined to be the head of the armies of the United States In the World War, and Enoch Crowder who became head of the draft boards in the same conflict. He also had as a student at Kirksville. B F. Carroll, who later became governor of the state of Iowa, and John. R. Kirk who became president of the same institution in which he was then a student of Professor Seitz." *Obit in The Herald-Advertiser of Huntington, W.Va.
Seitz was elected to the London Mathematical Society on 11 March 1880, only the fifth American to be so honored. Over 500 of his solutions were published in the Analyst, the Mathematical Visitor, the Mathematical Magazine, the School Visitor and the Educational Times of London, England.




1894 Rudolf Oskar Robert Williams Geiger (24 Aug 1894, 22 Jan 1981) German meteorologist, one of the founders of microclimatology, the study of the climatic conditions within a few metres of the ground surface. His observations, made above grassy fields or areas of crops and below forest canopies, elucidated the complex and subtle interactions between vegetation and the heat, radiation, and water balances of the air and soil.*TIS


1914 Wilhelm Lexis (17 July 1837, Eschweiler, Germany – 24 August 1914, Göttingen, Germany), full name Wilhelm Hector Richard Albrecht Lexis, was a German statistician, economist, and social scientist. The Oxford Dictionary of Statistics cites him as a "pioneer of the analysis of demographic time series". Lexis is largely remembered for two items that bear his name—the Lexis ratio and the Lexis diagram.

Although it can take various forms, the typical Lexis diagram is a graphical illustration of the lifetime of either an individual or a cohort of same-aged individuals. On the diagram, each such lifetime appears as a straight line in a two-dimensional plane, with one dimension representing time and the other representing age. The use of Lexis diagrams is very common amongst demographers, so much so that they often are used without being identified as Lexis diagrams. *Wik






1917 Ralph Eugene Lapp (August 24, 1917 – September 7, 2004) was an American physicist who participated in the Manhattan Project.
 Lapp was an American nuclear physicist and author who began his career in high-energy physics research with Arthur H. Compton. Lapp then worked at Chicago on the Manhattan Project. With 69 others, he signed Leo Szilard’s 17 Jul 1945 petition to President Truman, the month before the attack on Hiroshima. They urged that Japan should have an opportunity to surrender before use of the atom bomb. (Nevertheless, the actual attack was by surprise.) After the war, he researched the results in Japan. Lapp lectured across the U.S. He wrote 22 books on nuclear safety, including the dangers of nuclear fallout in The Voyage of the Lucky Dragon (1958). A Post book reviewer in 1956 called him “a one-man atomic truth squad and nuclear lie detector.”



1943 Karen Keskulla Uhlenbeck (born August 24, 1942) is an American mathematician and a founder of modern geometric analysis. She is a professor emeritus of mathematics at the University of Texas at Austin, where she held the Sid W. Richardson Foundation Regents Chair. She is currently a Distinguished Visiting Professor at the Institute for Advanced Study and a visiting senior research scholar at Princeton University.

Uhlenbeck won the 2019 Abel Prize for "her pioneering achievements in geometric partial differential equations, gauge theory, and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics." She is the first woman to win the prize since its inception in 2003.
*Wik








DEATHS


1595 Thomas Digges (1546?, 24 Aug 1595)
English astronomer and mathematician who (with his father, Leonard) was a pioneer in the use of the telescope. He was the leader of the English Copernicans. His observations of the new star of 1572, published in his Alae seu scalae mathematicae (1573) were second only to Tycho Brahe in accuracy. He used his observations of the supernova to justify the heliocentric system. In mathematics, he wrote on platonic and archimedian solids. *TIS After his father's death he was adopted and taught by John Dee. Digges was one of the first to translate (parts of) Copernicus into English. *Renaissance Mathematicus His father, Leonard Diggs, was also a fine mathematician, and often cited as the inventor (and namer) of the theodolite.
Thomas was the first to expound the Copernican system in English but discarded the notion of a fixed shell of immovable stars to postulate infinitely many stars at varying distances; he was also first to postulate the "dark night sky paradox". *Wik

 The dark night sky paradox, is an argument in astrophysics and physical cosmology that says that the darkness of the night sky conflicts with the assumption of an infinite and eternal static universe. In the hypothetical case that the universe is static, homogeneous at a large scale, and populated by an infinite number of stars, any line of sight from Earth must end at the surface of a star and hence the night sky should be completely illuminated and very bright. This contradicts the observed darkness and non-uniformity of the night.  



1670 William Neile (7 December 1637 – 24 August 1670) was an English mathematician and founder member of the Royal Society. His major mathematical work, the rectification of the semicubical parabola ( \(y^3 = a x^2\) ), was carried out when he was aged nineteen, and was published by John Wallis who was his teacher. By carrying out the determination of arc lengths on a curve given algebraically, in other words by extending to algebraic curves generally with Cartesian geometry a basic concept from differential geometry, it represented a major advance in what would become infinitesimal calculus. His name also appears as Neil.
Neile was the first to calculate the length of the semi-cubical parabola.  It was discovered  (created?) by William Neile in 1657. It was the first algebraic curve to have its arc length computed. Wallis published the method in 1659 giving Neile the credit. 





1739 Takebe Katahiro  (建部 賢弘; 1664 – August 24, 1739) was a Japanese mathematician who wrote most of Seki's Encyclopaedia.

Takebe Katahiro's name is given in several different forms including Takebe Kenko and Tatebe Kenko. He had an older brother Takebe Kataaki (1661-1716) who was also a mathematician and the two brothers were both pupils of Takakazu Seki. Let us note now that when we speak of Takebe in this article, we are referring to Takebe Katahiro and if we refer to his brother we shall use his full name Takebe Kataaki. Takebe was only thirteen years of age when he became Seki's pupil and both brothers remained with their teacher until his death in 1708. Not only did the brothers gain much from Seki's teaching but they also had access to his extensive library of Japanese and Chinese books on mathematics. Annick Horiuchi writes :-
"The brothers did their utmost to spread Seki's work, to make it easier to understand, and to defend it against detractors. They were the main craftsmen of Seki's project (launched 1683) to record mathematical knowledge in an encyclopaedia. The 'Taisei sankei' (Comprehensive Classic of Mathematics), in 20 volumes, was finally completed by Takebe Kataaki in 1710. It gives a good picture of Seki's skill at reformulating problems, as well as Takebe Katahiro's ability to correct, perfect, and extend his master's intuitions."
Takebe was only nineteen years old when he published his first mathematics book the Kenki Sanpo Ⓣ (1683). He followed this in 1685 with the book Hatsubi Sanpo Endan Genkai Ⓣ. These early works were based on the methods Seki had developed for handling polynomials. These methods were extended to handle polynomials in a single variable but with variable coefficients. Tatebe improved and extended the methods of his teacher and applied them to a wide range of problems in these books. Takebe had made a careful study of Zhu Shijie's Chinese text Suanxue qimeng  published in 1299 and the work had been a great help to him in developing his theory of polynomials. In 1690 Takebe published an annotated Japanese translation of the Suanxue qimeng  which he intended as a text for students of mathematics.*SAU

Seki Takakazu




1796 (Nicholas Léonard) Sadi Carnot (born 1 Jun 1796, 24 Aug 1832) was a French physicist. He became a captain of engineers in the army, and spent much of his life investigating the design of steam engines. His book Reflections on the Motive Power of Heat (1824) contained a theorem which says that a maximum efficiency of heat engine can be obtained by a reversible engine, and that efficiency depends only on the temperatures of the hot and the cool sources of the engine. This theorem played an essential role for the subsequent development of thermodynamics. It was written to promote the construction of steam engines and other heat engines in France, whose industrial development was lagging behind England's. *TIS





1842 Benjamin Wright (10 Oct 1770, 24 Aug 1842)American engineer who directed the construction of the Erie Canal. A one-time judge, he helped survey the Erie Canal route. When the Erie Canal was finally funded in 1817, Wright was selected as one of the three engineers to design and build it, then named chief engineer. Wright made the Erie Canal project a school of engineering. Until mid-century, almost every civil engineer in the U.S. had trained with, or been trained by someone who had worked under, Wright on the Erie Canal. Because he trained so many engineers on that project, Wright has been called the "father of American civil engineering." He also engaged in the design and construction at the outset of the first railroads. He was the first Chief Engineer of the Erie Railroad.*TIS




1888 Rudolf (Julius Emanuel) Clausius (2 Jan 1822, 24 Aug 1888) was a German mathematical physicist who formulated the second law of thermodynamics and is credited with making thermodynamics a science. Essentially a theoretical physicist, he published his work in thermodynamics in 1865 wherein he stated the First and Second laws of thermodynamics in the following form: (1) The energy of the universe is constant. (2) The entropy of the universe tends to a maximum. In all Clausius wrote eight important papers on the topic. He restated Sadi Carnot's principle of the efficiency of heat engines. The -Clapeyron equation expresses the relation between the pressure and temperature at which two phases of a substance are in equilibrium. *TIS




1971 Wallace John Eckert (June 19, 1902 – August 24, 1971) was an American astronomer, who directed the Thomas J. Watson Astronomical Computing Bureau at Columbia University which evolved into the research division of IBM.
He started teaching at Columbia University in 1926, and earned his PhD from Yale in 1931 in astronomy under Professor Ernest William Brown (1866–1938).

Around 1933 Eckert proposed interconnecting punched card tabulating machines from IBM located in Columbia's Rutherford Laboratory to perform more than simple statistical calculations. Eckert arranged with IBM president Thomas J. Watson for a donation of newly developed IBM 601 calculating punch, which could multiply instead of just adding and subtracting. In 1937 the facility was named the Thomas J. Watson Astronomical Computing Bureau. IBM support included customer service and hardware circuit modifications needed to tabulate numbers, create mathematical tables, add, subtract, multiply, reproduce, verify, create tables of differences, create tables of logarithms and perform Lagrangian interpolation, all to solve differential equations for astronomical applications. In January 1940, Eckert published Punched Card Methods in Scientific Computation, which solved the problem of predicting the orbits of the planets, using the IBM electric tabulating machines, based on the punched card. This slim book is only 136 pages, including the index.
In 1940, Eckert became director of the United States Naval Observatory in Washington, D.C. World War II had been raging in Europe for many months. The US had not yet officially joined the effort to defeat Hitler. Nonetheless, the demand for navigation tables had risen. This demand helped inspire Eckert to automate the process of creating these tables, using punched card equipment. The 1941 almanac was the first to be produced using automated equipment, down to the final typesetting. Martin Schwarzschild became directory of the Columbia laboratory while Eckert was at USNO.
After the war Eckert moved back to Columbia. Watson had just had a falling out with Harvard University over a project IBM had funded. IBM would instead focus their funding on Columbia, and Eckert's laboratory was named Watson Scientific Computing Laboratory. Eckert understood the significance of his laboratory, keenly aware of the advantage of scientific calculations performed without human interventions for long stretches of computation. A massive machine built to Eckert's specifications was built and installed behind glass at IBM's headquarters on Madison Avenue in January 1948. Known as the Selective Sequence Electronic Calculator, it was used as a calculating device with some success, but served even better as a recruiting tool. Eckert published a description of the SSEC in November 1948.

As an employee of IBM, Eckert directed one of the first industrial research laboratories in the country. In 1945 he hired Herb Grosch and Llewellyn Thomas as the next two IBM research scientists, who both made significant contributions. When Cuthbert Hurd became the next PhD to be hired by IBM in 1949, he was offered a position with Eckert, but instead founded the Applied Science Department, and later directed the development of IBM's first commercial stored program computer (the IBM 701) based on the demand demonstrated by applications such as those of Eckert.

In this period he continued his innovative contributions to computational astronomy by implementing Brown's Lunar theory in his computer; developing the Improved Lunar Ephemeris; and performing the first numerical integration to compute an ephemeris for the outer planets.

In 1957 the Watson lab moved to Yorktown Heights, New York (with a new building completed in 1961) where it is known as the Thomas J. Watson Research Center. Eckert won the James Craig Watson Medal in 1966 from the US National Academy of Sciences.




1975 Anna Margaret Mullikin (March 7, 1893 - August 24, 1975) She was born in Baltimore, Maryland and attended Goucher College, which was then a women's college located in the same city. While there she managed her class basketball team, participated on the swimming team, and earned her A.B. degree in 1915. That same year her name was mentioned in the American Mathematical Monthly [Vol. 22, No. 5 (May 1915),pp. 165-166] for solving the following geometry problem:

A quadrilateral of any shape whatever is divided by a transversal into two quadrilaterals. The diagonals of the original figure and those of the two resulting (smaller) figures are then drawn. Show that their three points of intersection are collinear.

The published solution was by Vola Barton, also from Goucher College, with the remark "Also solved by Anna Mullikin."
In 1918 she entered the graduate program in mathematics at the University of Pennsylvania, earning her master's degree in 1919. She continued her graduate studies at Penn during the 1919-1920 academic year under the direction of the topologist, Robert L. Moore, while also teaching at the Stevens School in Germantown, Pennsylvania, another private preparatory school for girls. In the fall of 1920 she moved to the University of Texas along with Moore, who had convinced the Texas math department to appoint her as an instructor. Mullikin stayed in Texas for only the one academic year before returning to Philadelphia to complete the requirements for her degree from the University of Pennsylvania, with Moore still as her advisor. She received her Ph.D. in mathematics in 1922. Mullikin did not pursue mathematical research after earning her Ph.D. She spent the rest of her professional career as a high school mathematics teacher, first at William Penn High School for Girls in Philadelphia for one year, and then at Germantown High School where she remained until her retirement in 1959. She was appointed head of the mathematics department in 1952. In 1956 she was a joint author with Ethel and Ewart Grove for the textbook Algebra and Its Use. *Agnes Scott College (One wonders who was (or were) the Dept Head for the almost 30 years this female PhD served before she got the position.)




1982 Giorgio Abetti (5 Oct 1882,24 Aug 1982)Italian astronomer known for his studies of the sun at the University of Padua where was director at the Arcetri Observatory (1921-52), taking over from his father who also held the post (1894-1921). In 1913, Giorgio Abetti took part, as a geodetic and geophysical astronomer, in the De Filippi expedition in Karakorum, Himalaya and Turkestan. He went on expeditions to observe eclipses of the sun, including one to Siber
ia to observe the total eclipse on 19 Jun 1936 and in 1952 to Sudan. With the advice of George Hale, he built a solar tower at the observatory (opened 1925). He wrote a popular text on the sun, a handbook of astrophysics (1936) and a popular history of astronomy (1963).*TIS




1993 Boris Yakovlevich Levin (Ukrainian:  22 December 1906 – 24 August 1993) was a Soviet mathematician who made significant contributions to function theory.

In 1932 he graduated from the University of North Caucasus (Rostov-on-Don). From 1935 to 1949 he was Professor and Head of the Department of Mathematics of the Odessa Institute of Marine Engineers.
In 1949, invited by N. I. Akhiezer, he moved to Kharkov, and since that time he worked at the Kharkov State University.

In 1969 he organized the Department of Function Theory in the Institute for Low Temperature Physics and Engineering of Ukrainian Academy of Sciences, in which he worked until his last days (as a Chief of the Department he worked until 1986). *Wik






1997 Louis Essen (6 Sep 1908, 24 Aug 1997 )English physicist who invented the quartz crystal ring clock and the first practical atomic clock. These devices were capable of measuring time more accurately than any previous clocks. He built a cesium-beam atomic clock, a device that ultimately changed the way time is measured. Each chemical element and compound absorbs and emits electromagnetic radiation at its own characteristic frequencies. These resonances are inherently stable over time and space. The cesium atom's natural frequency was formally recognized as the new international unit of time in 1967: the second was defined as exactly 9,192,631,770 oscillations or cycles of the cesium atom's resonant frequency, replacing the old second defined in terms of the Earth's motion. *TIS

Louis Essen (right) and Jack Parry (left) standing next to the world's first caesium-133 atomic clock.*Wik






Credits :
*CHM=Computer History Museum
*FFF=Kane, Famous First Facts
*NSEC= NASA Solar Eclipse Calendar
*RMAT= The Renaissance Mathematicus, Thony Christie
*SAU=St Andrews Univ. Math History
*TIA = Today in Astronomy
*TIS= Today in Science History
*VFR = V Frederick Rickey, USMA
*Wik = Wikipedia
*WM = Women of Mathematics, Grinstein & Campbell