Friday, 12 June 2026

On This day in Math - June 12

   


My work always tried to unite the true
with the beautiful, but when I had to choose... 
I usually chose the beautiful.
~ Hermann Weyl



The 163rd day of the year; 163 is the 38th prime number

\( e^{\pi*\sqrt{163}} \) is an integer. Ok, not quite. 

** Actually,  \( e^{\pi*\sqrt{163}} \) is approximately 262537412640768743.9999999999992

In the April 1975 issue of Scientific American, Martin Gardner wrote (jokingly) that Ramanujan's constant (e^(pi*sqrt(163))) is an integer. The name "Ramanujan's constant" was actually coined by Simon Plouffe and derives from the above April Fool's joke played by Gardner. The French mathematician Charles Hermite (1822-1901) observed this property of 163 long before Ramanujan's work on these so-called "almost integers."


And one more "almost integer" \(\frac{163}{ln 163}\) is 31.999998...

 .     and      *Wikipedia

Colin Beveridge ‏@icecolbeveridge pointed out that \( (2+\sqrt{3})^{163} \) is also very, very close to an integer. (but it is very large,greater than 1093 , and was not, to my knowledge, ever the source of an April fools joke.)

163 is conjectured to be the largest prime that can be represented uniquely as the sum of three squares \( 163 = 1^2 + 9^2 + 9^2 \).

Most students know that the real numbers can be uniquely factored. . Some other fields can be uniquely factored as well, for instance, the complex field a+bi where i represents the square root of -1 is such a field.  In 1801, Gauss conjectured that there were only nine integers k such that \(a + b\sqrt{-k} \) is a uniquely  factorable field.  The largest of these integers is 163.  Today they are called Heegner numbers after a proof by Kurt Heegner in 1952.

163 is as easy as 1+2*3^4.

163 is the sum 37 + 59 + 67, all prime



EVENTS


1493 First issue of Nuremberg Chronicles published in Latin (A German edition would be issued in December). The journal is said to have printed an image of the 684 passage of Halley's comet. Roberta Olsen and Jay Pasachoff of Wheaton College have written that the same woodblock was used to depict four other comets. They also said the Chronicles use three more prints to depict this same 684 comet in different editions. The one below, from the Library of Congress Collection, is the one which was in the Art Exhibit at the Smithsonian Air and Space Museum in Washington, D.C., entitled: "Fire and Ice - A History of Comets in Art"

For more detail about the Chronicles check out this post by the Renaissance Mathematicus.


1676   a partial solar eclipse which was to be viewed as something of an opening ceremony for the Royal Observatory in Greenwich: it was hoped that the King would attend but he did not, Lord Brouncker, President of the Royal Society, being the guest of honour instead. *Rebekah Higgitt, Telescopos


1689 Although they had corresponded, through Oldenburg, about optics sixteen years earlier (much to Newton’s grief), Newton first met Christiaan Huygens at a Royal Society meeting in London.
[Newton, Mathematical Papers, 6, xxiii] *VFR


In 1837, British inventors William Cooke and Charles Wheatstone received a patent for their electromagnetic telegraph. Their invention was put in public service in 1839, five years before the more famous Morse telegraph.*TIS Wheatstone's telegraph was a five wire/five needle telegraph that had a receiver that pointed out the message letter by letter without a code such as Morse used for his one and two wire models. (Wheatstone was very capable of creating codes as well. He was the creator of the Playfair cipher; an ingenious system which prevented frequency analysis by substituting two letters at a time.)






1891, the Swiss Army Soldier Knife

In 1897, the Swiss Army Knife was patented by Carl Elsener *TIS It was in Ibach, in 1884, where Karl Elsener and his mother, Victoria, opened a cutlery cooperative that would soon produce the first knives sold to the Swiss Army. The original model, called the Soldier Knife, was made for troops who needed a foldable tool that could open canned food and aid in disassembling a rifle. The Soldier Knife included a blade, a reamer, a can opener, a screwdriver, and oak handles. *gearjunkie.com





In 1908, the Rotherhithe-Stepney tunnel beneath the Thames in South London was opened for road vehicle traffic. It was built by Sir Maurice Fitzmaurice between 1904 and 1908. With a length of 4860 feet (1481 metres) excluding the approaches, it remains the largest iron-lined subaqueous tunnel in the world. It was constructed partly by tunneling and partly by the cut and cover method. The area around the entrances was cleared resulting in 3,000 people being rehoused. It is located close to the Rotherhithe-Wapping Thames Tunnel built (1825-43) by Marc Brunel and his son, Isambad K. Brunel which was the world's first tunnel beneath a navigable river.*TIS

southern approach *Wik




1973 Germany issued a postage stamp picturing a model of the calculator built by Wilhelm Schickard of the University of Tubingen 350 years before. [Scott #1123].




1979 Bryan Allen, age 26, of the U.S. pedaled the Gossamer Albatross on the first human powered flight across the English channel. This 21 mile flight won him a £100,000 prize offered by British industrialist Henry Kremer. Two years earlier Allen was the first to fly an aircraft around a one-mile figure eight course under human power alone. See “Human-powered flight,” Scientific American, November 1985, p. 144. *VFR


*NASA



2026. Oxford Mathematician Massimiliano Gubinelli has been awarded the 2026 XL Medal for Mathematics by Accademia Nazionale Delle Scienze, Italy's National Academy of Science which was founded in Verona in 1782. 

Max is our Wallis Professor of Mathematics, Head of the Stochastic Analysis Group and a Fellow at St Anne's College. His research focuses on rough path theory, stochastic PDEs, and Euclidean quantum field theory, where he has helped develop modern tools for understanding highly irregular systems and random phenomena.

Max has also held positions in Paris and Bonn, and was an invited speaker at the 2018 International Congress of Mathematicians.











BIRTHS


1577 Paul Guldin born (original name Habakkuk Guldin) (June 12, 1577 – November 3, 1643) was a Swiss Jesuit mathematician and astronomer. He discovered the Guldinus theorem to determine the surface and the volume of a solid of revolution. This theorem is also known as Pappus–Guldinus theorem and Pappus's centroid theorem, attributed to Pappus of Alexandria. ( simply stated: that the volume = area times distance traveled by the centroid, and surface = arclength times distance travelled by centroid. These nicely produce the surface area and volume of a torus, for example.) He was noted for his association with the German mathematician and astronomer Johannes Kepler. He was born in Mels, Switzerland and was a professor of mathematics in Graz and Vienna.
In Paolo Casati's astronomical work Terra machinis mota (1658), Casati imagines a dialogue between Guldin, Galileo, and Marin Mersenne on various intellectual problems of cosmology, geography, astronomy and geodesy. *Wik
Paul Guldin's critique of Bonaventura Cavalieri's indivisibles is contained in the fourth book of his De Centro Gravitatis (also called Centrobaryca), published in 1641. Cavalieri's proofs, Guldin argued, were not constructive proofs, of the kind that classical mathematicians would approve of. *Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World, by Amir Alexander





1737 Nicolas Vilant FRSE (12 June, 1737-27 May, 1807) was a mathematician from Scotland in the 18th century, known for his textbooks. He was a joint founder of the Royal Society of Edinburgh in 1783.

Vilant was Regius Professor of Mathematics in the University of Saint Andrews from 1765 to his death in 1807. Often ill, he was unable to teach most of this time, and lectures were given by assistants, among them John West. Under Newtonian tradition, he was unable to follow the continental developments in mathematical analysis, like most of his British contemporaries.

He was a good mathematician, and his textbooks were very popular until the first years of the 19th century. The most renowned was The Elements of Mathematical Analysis,( perhaps the first book in English to use the phrase "Mathematical Analysis" in its title) for the Use of Students, first printed in 1777 and used as a university textbook from 1783, reprinted for student use. *Wik




1806 John A. Roebling ( June 12, 1806 – July 22, 1869), civil engineer and designer of bridges, was born in Mühlhausen, Prussia. The Brooklyn Bridge, Roebling's last and greatest achievement, spans New York's East River to connect Manhattan with Brooklyn. When completed in 1883, the bridge, with its massive stone towers and a main span of 1,595.5 feet between them, was by far the longest suspension bridge in the world. Today, the Brooklyn Bridge is hailed as a key feature of New York's City's urban landscape, standing as a monument to progress and ingenuity as well as symbolizing New York's ongoing cultural vitality. *Library of Congress




1843 Sir David Gill (12 June 1843 – 24 January 1914) Scottish astronomer known for his measurements of solar and stellar parallax, showing the distances of the Sun and other stars from Earth, and for his early use of photography in mapping the heavens. From his first training as a watchmaker, he progressed to the timekeeping requirements of astronomy. He designed, equipped, and operated a private observatory near Aberdeen. In 1877, Gill and his wife measured the solar parallax by observing Mars from Ascension Island. To determine parallaxes, he perfected the use of the heliometer, a telescope that uses a split image to measure the angular separation of celestial bodies. He later redetermined the solar parallax to such precision that his value was used for almanacs until 1968. *TIS




1851 Sir Oliver Joseph Lodge, FRS (12 June 1851 – 22 August 1940) was a British physicist and writer involved in the development of key patents in wireless telegraphy. In his 1894 Royal Institution lectures ("The Work of Hertz and Some of His Successors"), Lodge coined the term "coherer" for the device developed by French physicist Édouard Branly based on the work of Italian physicist Temistocle Calzecchi Onesti. In 1898 he was awarded the "syntonic" (or tuning) patent by the United States Patent Office. He was also credited by Lorentz (1895) with the first published description of the length contraction hypothesis, in 1893, though in fact Lodge's friend George Francis FitzGerald had first suggested the idea in print in 1889. *Wik




1855 Eduard Wiltheiss (12 June 1855 Worms, Germany – 7 July 1900 Halle) was a German mathematician who made major contributions to the theory of abelian functions *SAU

In April 1874, immediately following his Abitur examinations, Wiltheiss entered the University of Giessen to study mathematics. At Giessen his lecturers included R Baltzer, M Pasch and P A Gordan. Moritz Pasch was a geometer while Paul Gordan was famed for his work in invariant theory. However Gordan had undertaken research on abelian functions before becoming fascinated by invariant theory, and Wiltheiss went on to undertake research on that topic, making a major contribution to the theory of abelian functions. From Giessen Wiltheiss went to Berlin in 1876 to continue his mathematical studies. There he attended lectures by the three great mathematicians Weierstrass, Kummer, and Kronecker. 




1888 Zygmunt Janiszewski, (June 12, 1888, Warsaw - January 3, 1920, Lviv) the father of Polish mathematics, born. At the end of World War I, Janiszewski was the driving force behind the creation of one of the strongest schools of mathematics in the world. This is all the more remarkable, given Poland's difficult situaltion at war's end.
Janiszewski devoted the family property that he had inherited from his father to charity and education. He also donated all the prize money that he received from mathematical awards and competitions to the education and development of young Polish students.
In mathematics, his main interest was topology.
He was the driving force, together with Wacław Sierpiński and Stefan Mazurkiewicz, behind the founding of the mathematics journal Fundamenta Mathematicae. Janiszewski proposed the name of the journal in 1919, though the first issue was published in 1920, after his death. It was his intent that the first issue comprise solely contributions by Polish mathematicians. It was Janiszewski's vision that Poland become a world leader in the field of mathematics—which she did in the interbellum.
His life was cut short by the influenza pandemic of 1918-19, which took his life at Lwów on 3 January 1920 at the age of 31. He willed his body for medical research, and his cranium for craniological study, desiring to be "useful after his death". *Wik




1904 Adolf Lindenbaum (12 June 1904 – ? August 1941) was a Polish-Jewish logician and mathematician best known for Lindenbaum's lemma and Lindenbaum–Tarski algebras.

He was born and brought up in Warsaw. He earned a Ph.D. in 1928 under Wacław Sierpiński and habilitated at the University of Warsaw in 1934. He published works on mathematical logic, set theory, cardinal and ordinal arithmetic, the axiom of choice, the continuum hypothesis, theory of functions, measure theory, point-set topology, geometry and real analysis. He served as an assistant professor at the University of Warsaw from 1935 until the outbreak of war in September 1939. He was Alfred Tarski's closest collaborator of the inter-war period. Around the end of October or beginning of November 1935 he married Janina Hosiasson, a fellow logician of the Lwow–Warsaw school. He and his wife were adherents of logical empiricism, participated in and contributed to the international unity of science movement, and were members of the original Vienna Circle. Sometime before the middle of August 1941 he and his sister Stefanja were shot to death in Naujoji Vilnia (Nowa Wilejka), 7 km east of Vilnius, by the occupying German forces or Lithuanian collaborators




1922 Margherita Hack, Knight Grand Cross OMRI ( 12 June 1922 – 29 June 2013) was an Italian astrophysicist and scientific disseminator. The asteroid 8558 Hack, discovered in 1995, was named in her honour.

An athlete in her youth, Hack played basketball and competed in track and field during the National University Contests, called the Littoriali under Mussolini's fascist regime, where she won the long jump and the high jump events.

She was full professor of astronomy at the University of Trieste from 1964 to the 1st of November 1992, when Hack was placed "out of role" for seniority. She has been the first Italian woman to administrate the Trieste Astronomical Observatory from 1964 to 1987, bringing it to international fame.

Member of the most physics and astronomy associations, Margherita Hack was also director of the Astronomy Department at the University of Trieste from 1985 to 1991 and from 1994 to 1997. She was a member of the Accademia Nazionale dei Lincei (national member in the class of mathematical physics and natural sciences; second category: astronomy, geodesic, geophysics and applications; section A: astronomy and applications). She worked at many American and European observatories and was for long time member of working groups of ESA and NASA. In Italy, with an intensive promotion work, she obtained the growth of activity of the astronomical community with access to several satellites, reaching a notoriety of international level.

Hack has published several original papers in international journals and several books both of popular science and university level. In 1994 she was awarded with the Targa Giuseppe Piazzi for the scientific research, and in 1995 with the Cortina Ulisse Prize for scientific dissemination.

In 1978, Margherita Hack founded the bimonthly magazine L'Astronomia, whose first issue came out in November 1979; later, together with Corrado Lamberti, she directed the magazine of popular science and astronomy culture Le Stelle.



1937 Vladimir Arnold  (12 June 1937 – 3 June 2010) won a Wolf prize for his work on dynamical systems, differential equations, and singularity theory. He died nine days before his birth date in 2010.

He entered Moscow State University in 1954 as an undergraduate student in the Faculty of Mechanics and Mathematics. He was awarded his first degree in 1959 with a dissertation On mappings of a circle to itself written with Kolmogorov as advisor. Speaking of his undergraduate years he said :-
The constellation of great mathematicians in the same department when I was studying at the Faculty of Mechanics and Mathematics was really exceptional, and I have never seen anything like it at any other place. Kolmogorov, Gelfand, Petrovsky, Pontryagin, P Novikov, Markov, Gelfond, Lusternik, Khinchin and P S Aleksandrov were teaching students like Manin, Sinai, Sergi Novikov, V M Alexeev, Anosov, A A Kirillov, and me. All these mathematicians were so different! It was almost impossible to understand Kolmogorov's lectures, but they were full of ideas and were really rewarding! ... Pontryagin was already very weak when I was a student at the Faculty of Mechanics and Mathematics, but he was perhaps the best of the lecturers. *SAU





DEATHS



1835 Edward Troughton  (October 1753 - June 12, 1835) English scientist and instrument maker. Troughton established himself as the leading maker of instruments in England. He began his instrument making career with instruments to aid navigation, for example, he designed the 'pillar' sextant, patented in 1788, the dip sector, the marine barometer and the reflecting circle built in 1796. Other instruments which he designed were for use in surveying. He designed the pyrometer, the mountain barometer and the large surveying theodolites. His famous instruments were astronomical ones. He made the Groombridge Transit Circle in 1805 and a six foot Mural Transit Circle in 1810 which was erected at the Observatory in Greenwich in 1812. *TIS  Troughton was awarded the Copley Medal of the Royal Society in 1809. He was elected a Fellow of the Royal Society in March 1810. *Wik

Mendoza repeating circle, made circa 1810 by Edward Troughton, London. On display at the Musée national de la Marine, Paris.





1885 (Henry Charles) Fleeming Jenkin (25 Mar 1833; 12 Jun 1885 at age 52) British engineer noted for his work in establishing units of electrical measurement. After earning an M.A. (1851), he worked for the next 10 years with engineering firms engaged in the design and manufacture of submarine telegraph cables and equipment for laying them. In 1861 his friend William Thomson (later Lord Kelvin) procured Jenkin's appointment as reporter for the Committee of Electrical Standards of the British Association for the Advancement of Science. He helped compile and publish reports that established the ohm as the absolute unit of electrical resistance and described methods for precise resistance measurements. *TIS

Drawing of the first ever aerial tramway or telpher, designed and engineered by Fleeming Jenkin. It was installed in Glynde in Sussex in 1885 to transport clay, and was finished after Jenkin's death.





1900 Jean Frenet (7 February 1816 – 12 June 1900) was a French mathematician best remembered for the Serret-Frenet formulas for a space-curve and they were presented in his doctoral thesis at Toulouse in 1847. *SAU  He wrote six out of the nine formulas, which at that time were not expressed in vector notation, nor using linear algebra.*Wik





1916 Silvanus Phillips Thompson FRS (19 June 1851 – 12 June 1916) was an English professor of physics at the City and Guilds Technical College in Finsbury, England. He was elected to the Royal Society in 1891 and was known for his work as an electrical engineer and as an author. Thompson's most enduring publication is his 1910 text Calculus Made Easy, which teaches the fundamentals of infinitesimal calculus, and is still in print. Thompson also wrote a popular physics text, Elementary Lessons in Electricity and Magnetism, as well as biographies of Lord Kelvin and Michael Faraday.

 He also wrote popular biographies of Faraday and Lord Kelvin. At his death he was professor at City and Guilds Technical College at Finsbury (London). Thompson’s particular gift was in his ability to communicate difficult scientific concepts in a clear and interesting manner. He attended and lectured at the Royal Institution giving the Christmas lectures in 1896 on Light, Visible and Invisible with an account of Röntgen Light. He was an impressive lecturer and the radiologist AE Barclay said that: “None who heard him could forget the vividness of the word-pictures he placed before them.”





1980 Egon Sharpe Pearson, (Hampstead, 11 August 1895 – Midhurst, 12 June 1980) was the only son of Karl Pearson, and like his father, a leading British statistician.
He went to Winchester School and Trinity College, Cambridge, and succeeded his father as professor of statistics at University College London and as editor of the journal Biometrika.
Pearson is best known for development of the Neyman-Pearson lemma of statistical hypothesis testing.
He was President of the Royal Statistical Society in 1955–56, and was awarded its Guy Medal in Gold in 1955. He was awarded a CBE in 1946.
He was elected a Fellow of the Royal Society in Mar 1966. His candidacy citation read: "Known throughout the world as co-author of the Neyman-Pearson theory of testing statistical hypotheses, and responsible for many important contributions to problems of statistical inference and methodology, especially in the development and use of the likelihood ratio criterion. Has played a leading role in furthering the applications of statistical methods - for example, in industry, and also during and since the war, in the assessment and testing of weapons." *Wik




1985 Hua Luogeng or Hua Loo-Keng (Chinese: 华罗庚; Wade–Giles: Hua Lo-keng; 12 November 1910 – 12 June 1985) was a Chinese mathematician and politician famous for his important contributions to number theory and for his role as the leader of mathematics research and education in the People's Republic of China. He was largely responsible for identifying and nurturing the renowned mathematician Chen Jingrun who proved Chen's theorem, the best known result on the Goldbach conjecture.

[Chen's theorem states that every sufficiently large even number can be written as the sum of either two primes, or a prime and a semiprime (the product of two primes).  Chen's theorem represents the strengthening of a previous result due to Alfréd Rényi, who in 1947 had shown there exists a finite K such that any even number can be written as the sum of a prime number and the product of at most K primes.]

n addition, Hua's later work on mathematical optimization and operations research made an enormous impact on China's economy. He was elected a foreign associate of the US National Academy of Sciences in 1982. He was elected a member of the standing Committee of the first to sixth National people's Congress, Vice-chairman of the sixth National Committee of the Chinese People's Political Consultative Conference (April 1985) and vice-chairman of the China Democratic League (1979). He joined the Chinese Communist Party in 1979.

Hua did not receive a formal university education. Although awarded several honorary PhDs, he never got a formal degree from any university. In fact, his formal education only consisted of six years of primary school and three years of secondary school. For that reason, Xiong Qinglai, after reading one of Hua's early papers, was amazed by Hua's mathematical talent, and in 1931 Xiong invited him to study mathematics at Tsinghua University.



2007  June 12 Donald Jeffry Herbert (July 10, 1917 – June 12, 2007), was  an American television personality better known as Mr. Wizard – died June 12, 2007, at age 89.  Herbert's first 34 years of life gave no hint of his future career.  Going then by his given name of Donald Kemske, he grew up and was educated in rural Wisconsin, majored in general science and English at what is now UW-La Crosse, and was considering an acting career, when the War broke out.  He enlisted, took flight training, and ending up flying over 50 missions as a B-24 bomber pilot, surviving the war, and coming out as a decorated captain.  Peacetime found him working for radio stations in Chicago as an actor for children's on-air theater.  As television reared its cathode-ray-tube head in the late 1940s, Herbert (having dropped the Kemske from his name) got the idea of a science show for kids.  He pitched the concept to station KNBQ in Chicago, they apparently liked the idea, and Meet Mr. Wizard went on the air on Mar. 3, 1951. *Linda Hall Org 

 I admit, I was a regular fan during the mid to late fifty's.

Mr. Wizard (Don Herbert) doing a demonstration with a birthday candle with Rita, “Science in a Candle,” Meet Mr. Wizard, 1964 





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

Thursday, 11 June 2026

On This Day in Math - June 11

 


All truths are easy to understand once they are discovered;
the point is to discover them.
~Galileo Galilei


The 162nd day of the year; 162 is the smallest number that can be written as the sum of 4 positive squares in 9 ways.*What's Special About This Number? (Can you find all nine ways?... Can you find a smaller number that can be written as the sum of four squares in eight ways?)

the 12th prime (12 = 1*6*2) ; p12 = 37, and the number of primes less than 162, \( \pi(162)\) is also 37. There is no smaller number with this property.

162 is the total number of baseball games each team plays during a regular season in Major League Baseball.

Jim Wilder pointed out that 1621= 162 has a digit sum of nine; and 1622= 26244 has a digit sum of 18; and 1623= 4251528 has a digit sum of 27. And 1624 ???

162 has a sum of divisors 1+2+3+6+9+18+27+54+81=201 which is greater than 162. Such numbers have been called abundant since the Ancient Greeks.

A 3x3 magic square with a magic constant for each row and column of 162

53    58   51
52   54    56
57   50    55

Imagine you have seven distinctly colored balls, and three numbered tubs to put them in, but none can be in a tub by itself. There are 162 different ways to distribute the balls. (If students struggle with this large a challenge, they can try to find all eleven ways to put five colored balls in just two tubs, again with no solitary balls.

A T Vandermonde should be remembered for the wonderfully useful approach he had for generalizations on the factorial, and in my mind, created the most useful notation ever (and, he seems to be the first to think of 0!=1) His notation included a method for skipping numbers, so that [p/3]n would indicate p(p-3)(p-6)... (p-3(n-1)); and in his notation 162 = [9/3]3 or 9*6*3. Now that's a notation worth having an exclamation point!




EVENTS



1644 Florentine scientist, Evangelista Torricelli described in a letter (to Michelangelo Ricci) the invention of a barometer, or "Torricellian tube.

"Many have said that a vacuum does not exist, others that it does exist in spite of the repugnance of nature and with difficulty; I know of no one who has said that it exists without difficulty and without a resistance from nature. I argued thus: If there can be found a manifest cause from which the resistance can be derived which is felt if we try to make a vacuum, it seems to me foolish to try to attribute to vacuum those operations which follow evidently from some other cause; and so by making some very easy calculations, I found that the cause assigned by me (that is, the weight of the atmosphere) ought by itself alone to offer a greater resistance than it does when we try to produce a vacuum."

"We live submerged at the bottom of an ocean of air.",

Torricelli correctly reasoned that the space above the mercury contained nothing and therefore was a vacuum. Previous experimenters using water had seen a similar behavior in much longer water-filled tubes, and it had been argued that the column of liquid was held up by the properties of the vacuum above it. Incidentally this is apparently why Torricelli used two tubes, one with a simple blind end and the other with a small sphere on the end. He argued that if a vacuum was responsible for attracting the mercury, the heights of the columns would be different because the differences in shape of the end of the tube would change the properties of the vacuum. However, the heights were the same. 


 


1668  James Gregory (age 29) was elected a fellow of the Royal Society. He presented various papers to the Society on a variety of topics including astronomy, gravitation and mechanics. He was appointed Regius Professor of Mathematics at St Andrews later that year. 

He described an early practical design for the reflecting telescope – the Gregorian telescope – and made advances in trigonometry, discovering infinite series representations for several trigonometric functions. 

In the Optica Promota, published in 1663, Gregory described his design for a reflecting telescope, the "Gregorian telescope". He also described the method for using the transit of Venus to measure the distance of the Earth from the Sun, which was later advocated by Edmund Halley and adopted as the basis of the first effective measurement of the Astronomical Unit.

In his book Geometriae Pars Universalis (1668) Gregory gave both the first published statement and proof of the fundamental theorem of the calculus (stated from a geometric point of view,but only for a special class of the curves considered by later versions of the theorem), for which he was acknowledged by Isaac Barrow.

About a year after assuming the Chair of Mathematics at Edinburgh, James Gregory suffered a stroke while viewing the moons of Jupiter with his students. He died a few days later at the age of 36.



1742, Benjamin Franklin invented the Franklin stove. The wood fuel burns on an iron surface over a cold air duct which heats air which then passes through baffles in the back wall. The heated air is released through vents on each side of the stove. Rather than patent it, he chose to write about it in a book so that others could freely copy his design. As he wrote, "That as we enjoy great Advantages from the Inventions of others, we should be glad of an Opportunity to serve others by any Invention of ours, and this we should do freely and generously."*TIS

Franklin's original design for the Franklin stove.  




collections.rmg.co.uk

1795 The Board of Longitude awards a 200 pound payment to Ralph Walker for his invention of a compass/sundial combination. "Comparing this reading with the direction in which the compass needle was pointing gave the magnetic variation. This could, in theory, be used to discover the longitude, by finding where supposed ‘magnetic meridians’ intersected with the observed latitude....Nevil Maskelyne didn’t think it was an effective longitude method" *kmcalpine, Royal Museum Greenwich blog
A letter with the directions for the instruments use is here, and the letter from the board to authorize the payment is here. (with HT to Richard Dunn@Lordoflongitude)


In 1895, the first U.S. patent for a gasoline-driven automobile by a U.S. inventor was issued to Charles E. Duryea (No. 540,648). Early in 1896, the Duryea Motor Wagon Co. set up shop in Springfield, Mass. to manufacture multiple units to a gasoline-powered vehicle that he built with his brother, Frank. The company's assembly of 13 identical machines that year is considered to be the first instance of serial production of American cars. The only surviving 1896 Duryea is on exhibit at the Henry Ford Museum. As this is the first U.S. automobile company, and the first to produce any quantity, the Duryea brothers are considered “Fathers of the American Automobile Industry”*TiS



1929
Walt Disney files a trademark application for the image of Mickey Mouse
 with the United States Patent Office.  In May of 1928 the company had filed a trademark on the name Mickey Mouse and their trademark Mickey Mouse Logo. *Disney Archives


1955 France issued a postage stamp with a portrait of
Pierre Simon de Laplace (1749–1827)










BIRTHS

1656 Charles René Reyneau (11 June 1656 in Brissac, Maine-et-Loire, France - 24 Feb 1728 in Paris, France) was a French mathematician who published an influential textbook on the newly invented calculus.*SAU (He) "undertook to reduce into one body, for the use of his scholars, the principal theories scattered here and there in Newton, Descartes, Leibnitz, Bernoulli, the Leipsic Acts, the Memoirs of the Paris Academy, and in other works; treasures which by being so widely dispersed, proved much less useful than they otherwise might have been. The fruit of this undertaking, was his “Analyse Demontree,” or Analysis Demonstrated, which he published in 1708, 2 vols. 4to. He gave it the name of “Analysis Demonstrated,” because he demonstrates in it several methods which had not been handled by the authors of them, with sufficient perspicuity and exactness. The book was so well approved, that it soon became a maxim, at least in France, that to follow him was the best, if not the only way, to make any extraordinary progress in the mathematics and he was considered as the first master, as the Euclid of the sublime geometry." (From the 1812 Chalmer's Biography, vol. 26, p. 151)




1687 Maurice Paul Auguste Charles Fabry (11 June 1867, Marseille – 11 December 1945, Paris) was a French physicist who graduated from the École Polytechnique in Paris.
Together with Henri Buisson, he discovered the ozone layer in 1913. In optics, he discovered an explanation for the phenomenon of interference fringes. Together with his colleague Alfred Pérot he invented the Fabry–Pérot interferometer.
In 1921, he was appointed Professor of General Physics at the Sorbonne and the first director of the new Institute of Optics. He was the first general director of the Institut d'optique théorique et appliquée and director of "grande école" École supérieure d'optique (SupOptique).
During his career Fabry published 197 scientific papers, 14 books, and over 100 popular articles. For his important scientific achievements he received the Rumford Medal from the Royal Society of London in 1918. In the United States his work was recognized by the Henry Draper Medal from the National Academy of Sciences (1919) and the Franklin Medal from the Franklin Institute (1921). In 1927 he was elected to the French Academy of Sciences. *Wik




1723  Johann Georg Palitzsch (June 11, 1723 – February 21, 1788) was born.  As a German farmer and amateur astronomer from the village of Prohlis near Dresden, he would observe a comet on Christmas day in 1758 and confirm one of the most significant scientific theories in history.  

He became famous for recovering Comet 1P/Halley (better known as Halley's Comet) on Christmas Day, 1758. The periodic nature of this comet had been deduced by its namesake Edmond Halley in 1705, but Halley had died before seeing if his prediction would come true.

See the full story of his Christmas/birthday observation from Thony Christie.




 1862 Lothar Heffter (June 11th 1862 in Koszalin , January 1 1962 in Freiburg )At the age of 99 he published the second edition of his Begr¨undung der Funktionentheorie. *VFR He did research in the theory of linear differential equations , the complex analysis and analytic geometry and worked on the four-color problem. Lazarus Fuchs was his teacher. His main concern was the popularization of mathematics.




1881 Hilda Phoebe Hudson (June 11, 1881 Cambridge – November 26, 1965 London) was an English mathematician who worked on algebraic geometry, in particular on Cremona transformations.
Educated at Newnham College, University of Cambridge, after a year studying at the University of Berlin she returned to Newnham as lecturer in mathematics and later Associate Research Fellow. She was also awarded MA and ScD degrees by Trinity College, Dublin. Most of Hudson's research was in the area of pure mathematics concerned with surfaces and plane curves, her special interest was in cremona transformation. Her monograph Ruler and Compasses was well-received as "a welcome addition to the literature on the boundary between elementary and advanced mathematics". In 1917 she joined an Air Ministry subdivision undertaking aeronautical engineering research, where she applied pioneering work on the application of mathematical modelling to aircraft design for which she was appointed OBE in 1919. As a distinguished mathematician she was one of the few women of her time to serve on the council of the London Mathematical Society. *Wik



1886 David Barnard Steinman (June 11, 1886 - August 21, 1960) Designer of the BIG MAC Bridge between the Upper and Lower Peninsulas of Michigan (top). American engineer whose studies of airflow and wind velocity helped make possible the design of aerodynamically stable bridges. Steinman's thesis for his Ph.D. from Colombia University (1911) was published as "The Design of the Henry Hudson Memorial Bridge as a Steel Arch, and more than 20 years later he built the bridge he had planned over the Harlem River. Steinman designed more than 400 bridges, for instance Sidney Harbor Bridge in Australia, Mackinac Straits Bridge, Carquinez Strait Bridge, San Francisco (1937), Saint Johns Bridge, Portland, Ore, Deer Isle Bridge, Maine, Mount Hope Bridge, Rhode Island. *TIS

The name "Mackinac" itself is derived from the Ojibwe word Michilimackinac, meaning "Island of the Great Turtle," referring to Mackinac Island in the Straits.  The  Straits of Mackinac represent a significant hydrological connection between these two lakes, effectively making Lake Michigan and Lake Huron one body of water geologically. The tribes in the area referred to the two combined waters by the name  Michigami, meaning "great water".  



1910 Jacques-Yves Cousteau (11 June 1910 – 25 June 1997) French naval officer, oceanographer, marine biologist and ocean explorer, known for his extensive underseas investigations. He was co-inventor of the aqualung which made SCUBA diving possible (1943). Cousteau the developed the Conshelf series of manned habitats, the Diving Saucer, a process of underwater television and numerous other platforms and specialized instruments of ocean science. In 1945 he founded the French Navy's Undersea Research Group. He modified a WWII wooden hull minesweeper into the research vesselCalypso, in 1950. An observation dome added to the foot of Calypso's bow was found to increase the ship's stability, speed and fuel efficiency. *TIS For whom my oldest son is named.



1914 Rufus Philip Isaacs (11 June 1914 in New York City, New York -18 January 1981 in Baltimore) was a game theorist especially prominent in the 1950s and 1960s with his work on differential games.
He worked for the RAND Corporation from 1948 until winter 1954/1955. His investigation stemmed from classic pursuit-evasion type zero-sum dynamic two player games such as the Princess and monster game. In 1942, He married Rose Barcov, and they had two daughters.
His work in pure mathematics included working with monodiffric functions, fractional-order mappings, graph theory, analytic functions, and number theory. In graph theory he constructed the first two infinite families of snarks. In applied mathematics, he worked with aerodynamics, elasticity, optimization, and differential games, which he is most known for. He received his bachelors from MIT in 1936, and received his MA and PhD from Columbia University in 1942 and 1943 respectively. His first post after the war ended was at Notre Dame, but he left in 1947 due to salary issues. While at RAND, much of his work was classified, and thus remained unknown until the publication of his classic text on differential games a decade after leaving RAND. His career after RAND was spent largely in the defense and avionics industries. While at RAND, he worked with researchers including Richard E. Bellman, Leonard D. Berkovitz, David H. Blackwell, John M. Danskin, Melvin Dresher, Wendell H. Fleming, Irving L. Glicksberg, Oliver A. Gross, Samuel Karlin, John W. Milnor, John F. Nash, and Lloyd S. Shapley. His work has significant influence on mathematical optimization including fundamental concepts such as dynamic programming (Richard E. Bellman) and the Pontryagin maximum principle (Breitner 2005) which are widely used in economics and many other fields. *Wik




1921 Rodney Hill FRS (11 June 1921 – 2 February 2011) was an applied mathematician and a former Professor of Mechanics of Solids at Gonville and Caius College, Cambridge.
In 1953 he was appointed Professor of Applied Mathematics at Nottingham University. His 1950 The Mathematical Theory of Plasticity forms the foundation of plasticity theory. Hill is widely regarded as among the foremost contributors to the foundations of solid mechanics over the second half of the 20th century. His early work was central to founding the mathematical theory of plasticity. This deep interest led eventually to general studies of uniqueness and stability in nonlinear continuum mechanics, work which has had a profound influence on the field of solid mechanics—theoretical, computational and experimental alike—over the past decades. Hill was the founding editor of the Journal of the Mechanics and Physics of Solids, still among the principal journals in the field.
His work is recognized worldwide for its concise style of presentation and exemplary standards of scholarship. Publisher Elsevier, in collaboration with IUTAM, established a quadrennial award in the field of solid mechanics, known as the Rodney Hill Prize, first presented at ICTAM in Adelaide in August 2008. The prize consists of a plaque and a cheque for US$25,000. Its first recipient is Michael Ortiz, for his contribution to nonconvex plasticity and deformation microstructures (California Institute of Technology, USA).
He won the Royal Medal in 1993 for his contribution to the theoretical mechanics of soil and the plasticity of solids and was elected a Fellow of the Royal Society in 1961. He was awarded an Honorary Degree (Doctor of Science) by the University of Bath in 1978. *Wik




1937 David Bryant Mumford (11 June 1937-  ) born in Worth, Sussex, England. In 1974 he won a Fields Medal for his work on “problems of the existence and structure of varieties of moduli, varieties whose points parameterize isomorhphism clases of some type of geometric object.” *VFR In the 1980s he turned to applied mathematics with the question "Is there a mathematical approach to understanding thought and the brain?" This is part of "Pattern Theory," as introduced by Ulf Grenander in the 70's to give a theoretical setting for a large number of related ideas, techniques and results from fields such as computer vision, speech recognition, image and acoustic signal processing, pattern recognition and its statistical side, neural nets and parts of artificial intelligence. *TIS






DEATHS

1292 Roger Bacon (Ilchester, Somersetshire, about 1214 -  Oxford, perhaps 11 June, 1294) English scholar who was one of the first to propose mathematics and experimentation as appropriate methods of science. He studied mathematics, astronomy, optics, alchemy, and languages. He elucidated the principles of refraction, reflection, and spherical aberration, and described spectacles, which soon thereafter came into use. He developed many mathematical results concerning lenses, proposed mechanically propelled ships, carriages, and flying machines, and used a camera obscura to observe eclipses of the Sun. Bacon was the first European to give a detailed description of the process of making gunpowder.*TIS



1875  Joseph Winlock (February 6, 1826 – June 11, 1875) was an American astronomer and mathematician.

He was born in Shelby County, Kentucky, the grandson of General Joseph Winlock (1758–1831). After graduating from Shelby College in Kentucky in 1845, he was appointed professor of mathematics and astronomy at that institution.

From 1852 until 1857 he worked as a computer for the American Ephemeris and Nautical Almanac, and relocated to Cambridge, Massachusetts. He briefly served as head of the department of mathematics at the United States Naval Academy, but returned as superintendent of the Almanac office. He was elected a Fellow of the American Academy of Arts and Sciences in 1853.

He married Isabella Washington in Shelbyville, Kentucky on December 10, 1856, and they had six children.

In 1863 he was one of the fifty charter members of the National Academy of Sciences. Three year later in 1866 he became director of the Harvard College Observatory, succeeding George Bond, and making many improvements in the facility. He was also appointed professor of astronomy at Harvard. He remained at the university, eventually becoming professor of geodesy until his sudden death in Cambridge on June 11, 1875.

Much of his astronomical work included measurements with the meridian circle, a catalogue of double stars and stellar photometry investigations. He also led solar eclipse expeditions to Kentucky in 1860 and Spain in 1870.

The crater Winlock on the Moon is named after him.




1895 Daniel Kirkwood (September 27, 1814 - June 11, 1895) American mathematician and astronomer who noted in about 1860 that there were several zones of low density in the minor-planet population. These gaps in the distribution of asteroid distances from the Sun are now known as Kirkwood gaps. He explained the gaps as resulting from perturbations by Jupiter. An object that revolved in one of the gaps would be disturbed regularly by the planet's gravitational pull and eventually would be moved to another orbit. Thus gaps appeared in the distribution of asteroids where the orbital period of any small body present would be a simple fraction of that of Jupiter. Kirwood showed that a similar effect accounted for gaps in Saturns rings.*TIS

The asteroid 1951 AT was named 1578 Kirkwood in his honor and so was the lunar impact crater Kirkwood, as well as Indiana University's Kirkwood Observatory. He is buried in the Rose Hill Cemetery in Bloomington, Indiana, where Kirkwood Avenue is named for him. *Wik




1903 Nikolai Vasilievich Bugaev (September 14, 1837 – June 11, 1903) was a prominent Russian mathematician, the father of Andrei Bely.
Bugaev was born in Georgia, Russian Empire into a somewhat unstable family (his father was an army doctor), and at the age of ten young Nikolai was sent to Moscow to find his own means of obtaining an education. He succeeded, graduating in 1859 from Moscow University, where he majored in mathematics and physics. He went on to study engineering, but in 1863 wrote a Master's thesis on the convergence of infinite series. This document was sufficiently impressive to win him a place studying under Karl Weierstrass and Ernst Kummer in Berlin. He also spent some time in Paris studying under Joseph Liouville. He earned his doctoral degree in 1866 and returned to Moscow, where he taught for the remainder of his career. Some of his most influential papers offered proofs of previously unproven assertions of Liouville, but his most original work centered around the development of formal analogies between arithmetic and analytic operations. *Wik




1931 Franklin H(enry) Giddings (March 23, 1855 – June 11, 1931)  American sociologist, one of the first in the United States to turn sociology from a branch of philosophy into a research science dependent on statistics. He was noted for his doctrine of the "consciousness of kind," which he derived from Adam Smith's conception of "sympathy," or shared moral reactions. His explanation of social phenomena was based this doctrine - his theory that each person has an innate sense of belonging to particular social groups. He encouraged statistical studies in sociology. *TIS



1934 Friedrich Wilhelm Franz Meyer (2 Sept 1856 in Magdeburg, Germany - 11 June 1934 in Königsberg, Germany (now Kaliningrad, Russia) studied algebraic geometry, algebraic curves and invariant theory. *SAU

The wide research work of Meyer (more than 130 papers) is centred basically on geometry and, specifically, on invariant theory.

He is mainly known as one of the main editors of the Encyklopädie der mathematischen Wissenschaften published from 1898 to 1933 in 23 separate books. Meyer was directly in charge to edit the geometry volumes






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