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James Henry Weaver
James Henry Weaver (10 June 1883 in Madison County, Ohio – 7 April 1942 in Franklin County, Ohio) was an American mathematician. Weaver received B.A. in 1908 from Otterbein College and M.A. in 1911 from Ohio State University. He was a teaching assistant at Ohio State University from 1910 to 1912. He entered the mathematics doctoral program at the University of Pennsylvania in 1912 and graduated there in 1916 with advisor Maurice Babb and thesis ''Some Extensions of the Work of Pappus and Steiner on Tangent Circles''. From 1912 to 1917 he was head of the mathematics department of West Chester High School in West Chester, Pennsylvania. He became an instructor in 1917 and in 1920 an assistant professor at Ohio State University. He was an Invited Speaker of the ICM in 1924. Selected publications * (See Pappus of Alexandria.) * (See angle trisection.) * (See Platonic solid.) * (See doubling the cube.) * * * * * * (See Steiner chain.) * (See strophoid.) * *with R. D. Carmic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Madison County, Ohio
Madison County is a county located in the central portion of the U.S. state of Ohio. As of the 2020 census, the population was 43,824. Its county seat is London. The county is named for James Madison, President of the United States and was established on March 1, 1810. Madison County is part of the Columbus, OH Metropolitan Statistical Area. In 2008, Madison County, which spans Interstates 70 and 71 as they converge on Columbus, was cited by the Ohio State Highway Patrol as leading the state for the most speeding tickets 20-mph or more over the posted limit. Despite a population of around 42,000 in 2006, over 7,700 such tickets were issued in three years. Three of Madison County's 18 fatal crashes in 2006 and 2007 occurred on interstates. Madison County is also home to the Ohio Peace Officer Training Academy, the Ohio Bureau of Criminal Identification & Investigation, and several prison facilities."No radar needed in Ohio", Motor Tren retrieved 2011-05-25 History In 185 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Strophoid
In geometry, a strophoid is a curve generated from a given curve and points (the fixed point) and (the pole) as follows: Let be a variable line passing through and intersecting at . Now let and be the two points on whose distance from is the same as the distance from to (i.e. ). The locus of such points and is then the strophoid of with respect to the pole and fixed point . Note that and are at right angles in this construction. In the special case where is a line, lies on , and is not on , then the curve is called an oblique strophoid. If, in addition, is perpendicular to then the curve is called a right strophoid, or simply ''strophoid'' by some authors. The right strophoid is also called the logocyclic curve or foliate. Equations Polar coordinates Let the curve be given by r = f(\theta), where the origin is taken to be . Let be the point . If K = (r \cos\theta,\ r \sin\theta) is a point on the curve the distance from to is :d = \sqrt = \sqrt. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ohio State University Faculty
Faculty may refer to: * Faculty (academic staff), the academic staff of a university (North American usage) * Faculty (division), a division within a university (usage outside of the United States) * Faculty (instrument), an instrument or warrant in canon law, especially a judicial or quasi-judicial warrant from an ecclesiastical court or tribunal * Faculty (company), a British artificial intelligence company * Aspects of intelligence ("cognitive faculties") * Senses of sight, hearing, touch, etc. ("perceptive faculties") * ''The Faculty'', a 1998 horror/sci-fi movie by Robert Rodriguez * The Faculty (TV series), ''The Faculty'' (TV series), a 1996 American sitcom * The rights of a priest to celebrate or perform various liturgical functions {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Pennsylvania Alumni
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ohio State University Alumni
Alumni (singular: alumnus (masculine) or alumna (feminine)) are former students of a school, college, or university who have either attended or graduated in some fashion from the institution. The feminine plural alumnae is sometimes used for groups of women. The word is Latin and means "one who is being (or has been) nourished". The term is not synonymous with "graduate"; one can be an alumnus without graduating (Burt Reynolds, alumnus but not graduate of Florida State, is an example). The term is sometimes used to refer to a former employee or member of an organization, contributor, or inmate. Etymology The Latin noun ''alumnus'' means "foster son" or "pupil". It is derived from PIE ''*h₂el-'' (grow, nourish), and it is a variant of the Latin verb ''alere'' "to nourish".Merriam-Webster: alumnus .. Separate, but from the s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Otterbein University Alumni
Otterbein may refer to: People with the surname * Philip William Otterbein (1726-1813), German-American clergyman, founder of the Church of the United Brethren in Christ * Keith F. Otterbein, anthropologist * Thomas Otterbein, retired US Navy captain Places As a place name in the United States, at times indicating settlers that came from the United Brethren tradition: * Otterbein, Indiana * Otterbein, Ohio * Otterbein, Baltimore Otterbein is a small neighborhood of historic rowhouses in Baltimore, Maryland, United States. Otterbein is immediately southwest of, and in close walking distance to, the Inner Harbor. The neighborhood is very compact, entirely located between ..., Maryland, a neighborhood in South Baltimore, next to Federal Hill Other uses * Otterbein University, Westerville, Ohio * Ottenbreit {{disambiguation, geo, surname ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tschirnhausen Cubic
In algebraic geometry, the Tschirnhausen cubic, or Tschirnhaus' cubic is a plane curve defined, in its left-opening form, by the polar equation :r = a\sec^3 \left(\frac\right) where is the secant function. History The curve was studied by Ehrenfried Walther von Tschirnhaus, von Tschirnhaus, Guillaume de l'Hôpital, de L'Hôpital, and Eugène Charles Catalan, Catalan. It was given the name Tschirnhausen cubic in a 1900 paper by R C Archibald, though it is sometimes known as de L'Hôpital's cubic or the trisectrix of Catalan. Other equations Put t=\tan(\theta/3). Then applying De Moivre's formula, triple-angle formulas gives :x=a\cos \theta \sec^3 \frac = a \left(\cos^3 \frac - 3 \cos \frac \sin^2 \frac \right) \sec^3 \frac= a\left(1 - 3 \tan^2 \frac\right) ::= a(1 - 3t^2) :y=a\sin \theta \sec^3 \frac = a \left(3 \cos^2 \frac\sin \frac - \sin^3 \frac \right) \sec^3 \frac= a \left(3 \tan \frac - \tan^3 \frac \right) ::= at(3-t^2) giving a parametric equation, parametric form for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lincoln LaPaz
Lincoln LaPaz (February 12, 1897 – October 19, 1985) was an American astronomer from the University of New Mexico and a pioneer in the study of meteors. Early life and education He was born in Wichita, Kansas on February 12, 1897 to Charles Melchior LaPaz and Emma Josephine (Strode). He earned his Bachelor of Arts in 1920 in mathematics at Fairmont College (presently Wichita State University) and also taught there between 1917 and 1920. He earned his master's degree via a scholarship at Harvard University, completed in 1922. On June 18, 1922, he married Leota Ray Butler and later had two children, Leota Jean and Mary Strode. Between 1922 and 1925 he taught at Dartmouth College. He received his Ph.D. in 1928 at the University of Chicago, where he instructed for a short time and acted as National Research Fellow. In 1930, he was assistant professor at Ohio State University and became associate professor in 1936 and finally professor in 1942, where he helped develop the graduat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robert Daniel Carmichael
Robert Daniel Carmichael (March 1, 1879 – May 2, 1967) was an American mathematician. Biography Carmichael was born in Goodwater, Alabama. He attended Lineville College, briefly, and he earned his bachelor's degree in 1898, while he was studying towards his Ph.D. degree at Princeton University. Carmichael completed the requirements for his Ph.D. in mathematics in 1911. Carmichael's Ph.D. research in mathematics was done under the guidance of the noted American mathematician G. David Birkhoff, and it is considered to be the first significant American contribution to the knowledge of differential equations in mathematics. Carmichael next taught at Indiana University from 1911 to 1915. Then he moved on to the University of Illinois, where he remained from 1915 until his retirement in 1947. Carmichael is known for his research in what are now called the Carmichael numbers (a subset of Fermat pseudoprimes, numbers satisfying properties of primes described by Fermat's Little ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Steiner Chain
In geometry, a Steiner chain is a set of circles, all of which are tangent to two given non-intersecting circles (blue and red in Figure 1), where is finite and each circle in the chain is tangent to the previous and next circles in the chain. In the usual ''closed'' Steiner chains, the first and last (-th) circles are also tangent to each other; by contrast, in ''open'' Steiner chains, they need not be. The given circles and do not intersect, but otherwise are unconstrained; the smaller circle may lie completely inside or outside of the larger circle. In these cases, the centers of Steiner-chain circles lie on an ellipse or a hyperbola, respectively. Steiner chains are named after Jakob Steiner, who defined them in the 19th century and discovered many of their properties. A fundamental result is ''Steiner's porism'', which states: ::If at least one closed Steiner chain of circles exists for two given circles and , then there is an infinite number of closed Steiner chains o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Franklin County, Ohio
Franklin County is a county in the U.S. state of Ohio. As of the 2020 census, the population was 1,323,807, making it the most populous county in Ohio. Most of its land area is taken up by its county seat, Columbus, the state capital and most populous city in Ohio. The county was established on April 30, 1803, less than two months after Ohio became a state, and was named after Benjamin Franklin. Franklin County originally extended north to Lake Erie before being subdivided into smaller counties. Franklin County is the central county of the Columbus, Ohio Metropolitan Statistical Area. Franklin County, particularly Columbus, has been a centerpiece for presidential and congressional politics, most notably the 2000 presidential election, the 2004 presidential election, and the 2006 midterm elections. Franklin County is home to one of the largest universities in the United States, Ohio State University, which has about 60,000 students on its main Columbus campus. It shares a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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