|
Haruki's Theorem
Haruki's Theorem says that given three intersecting circles that only intersect each other at two points that the lines connecting the inner intersecting points to the outer satisfy: : s_1 \cdot s_3 \cdot s_5 = s_2 \cdot s_4 \cdot s_6 where s_1, s_2, s_3, s_4, s_5, s_6 are the measure of segments connecting the inner and outer intersection points.Ross Honsberger: ''Episodes in Nineteenth and Twentieth Century Euclidean Geometry''. MAA, 1995, p. 144-146 The theorem is named after the Japanese mathematician Hiroshi Haruki was a Japanese mathematician. A world-renowned expert in functional equations, he is best known for discovering Haruki's theorem and Haruki's lemma in plane geometry. Some of his published work, such as: "On a Characteristic Property of Con .... References {{Reflist Geometry ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Haruki Theorem
Haruki is both a masculine/neutral Japanese given name and a Japanese surname. Notable people with the name include: Given name: *, Japanese footballer *, Japanese-born theatre performer *, Japanese footballer *, Nippon Professional Baseball player for the Nishitetsu Lions *, Japanese voice actor *, Japanese footballer *, Japanese publisher, film producer, director and screenwriter * Haruki Kanashiro (born 1977), Peruvian footballer *, Japanese architectural translator *, Japanese footballer *, Japanese footballer *, Japanese diplomat *, Japanese writer and translator *, Japanese darts player * Haruki Nakamura (born 1986), American football safety *, Japanese professional baseball player *, Japanese baseball player *, Japanese footballer *, Japanese football player *, Japanese footballer *, Japanese footballer *, former judoka from Japan *, Japanese football player * Haruki Yamashita (born 1999), Japanese cross-country skier *, Japanese footballer Surname: *, Japanese manga ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Line Segment
In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry, a line segment is often denoted using a line above the symbols for the two endpoints (such as \overline). Examples of line segments include the sides of a triangle or square. More generally, when both of the segment's end points are vertices of a polygon or polyhedron, the line segment is either an edge (geometry), edge (of that polygon or polyhedron) if they are adjacent vertices, or a diagonal. When the end points both lie on a curve (such as a circle), a line segment is called a chord (geometry), chord (of that curve). In real or complex vector spa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Bogomolny
Alexander Bogomolny (January 4, 1948 July 7, 2018) was a Soviet-born Israeli-American mathematician. He was Professor Emeritus of Mathematics at the University of Iowa, and formerly research fellow at the Moscow Institute of Electronics and Mathematics, senior instructor at Hebrew University and software consultant at Ben Gurion University. He wrote extensively about arithmetic, probability, algebra, geometry, trigonometry and mathematical games. He was known for his contribution to heuristics and mathematics education, creating and maintaining the mathematically themed educational website ''Cut-the-Knot'' for the Mathematical Association of America (MAA) Online. He was a pioneer in mathematical education on the internet, having started ''Cut-the-Knot'' in October 1996.Interview with Alexander Bo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ross Honsberger
Ross Honsberger (1929–2016) was a Canadian mathematician and author on recreational mathematics. Life Honsberger studied mathematics at the University of Toronto, with a bachelor's degree, and then worked for ten years as a teacher in Toronto, before continuing his studies at the University of Waterloo (master's degree). Since 1964 he had been on the faculty of mathematics, where he later became a professor emeritus. He dealt with combinatorics and optimization, especially with mathematics education. He developed education courses, for example, on combinatorial geometry, held frequently lectures for students and math teachers, and was editor of the ''Ontario Secondary School Mathematics Bulletin''. He wrote numerous books on elementary mathematics (geometry, number theory, combinatorics, probability theory), and recreational mathematics (often at the Mathematical Association of America, MAA), with him in his own words using the book by Hans Rademacher and Otto Toeplitz of nu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hiroshi Haruki
was a Japanese mathematician. A world-renowned expert in functional equations, he is best known for discovering Haruki's theorem and Haruki's lemma in plane geometry. Some of his published work, such as: "On a Characteristic Property of Confocal Conic Sections" is available (open source) on Project Euclid. Haruki earned his MSc and PhD from Osaka University , abbreviated as , is a public research university located in Osaka Prefecture, Japan. It is one of Japan's former Imperial Universities and a Designated National University listed as a "Top Type" university in the Top Global University Project. ... and taught there. He was a professor at the University of Waterloo in Canada from 1966 till his retirement in 1986. He was a founding member of the university's computer science department (1967). See also * List of University of Waterloo people References News release Department of Computer Science, University of Waterloo. External links Hiroshi Haruki's Lemma( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
