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Line constructed from a triangle
lines AB, AC, and BC are collinear. The line through these points is the Simson line of P, named for Robert Simson. The concept was first published, however
Simson_line
Topics referred to by the same term
automobiles, motorcycles, and mopeds Simson line in geometry, named for Robert Simson Simson Provincial Park in Canada KSV Simson Bremen, German football club
Simson
Relates the 4 sides and 2 diagonals of a quadrilateral with vertices on a common circle
If the quadrilateral is self-crossing, then K will be located outside the line segment AC. But in this case, AK−CK = ±AC, giving the expected result. We
Ptolemy's_theorem
Scottish mathematician (1687–1768)
Robert Simson (14 October 1687 – 1 October 1768) was a Scottish mathematician and professor of mathematics at the University of Glasgow. The Simson line is
Robert_Simson
Triangle found by projecting a point onto the sides of another triangle
on the circumcircle of the triangle, △LMN collapses to a line (the pedal line or Simson line). The vertices of the pedal triangle of an interior point
Pedal_triangle
Mathematical study of triangle properties (19th century–present)
from P to the sides of △ABC are collinear and the line of collinearity is the well-known Simson line of P. Given a point P, let the feet of perpendiculars
Modern_triangle_geometry
constructed from a cyclic quadrilateral. It is a generalization of the Simson line, which states that the three projections of a point on the circumcircle
Longuerre's_theorem
determine a degenerated circle with an infinite radius, that is a line. This is the Simson line. If P {\displaystyle P} is the incenter of the triangle then
Pedal_circle
Straight figure with zero width and depth
the Euler line, the Simson lines, and central lines. For a convex quadrilateral with at most two parallel sides, the Newton line is the line that connects
Line_(geometry)
Property of points all lying on a single line
each of the three extended sides of the triangle are collinear in the Simson line of the point on the circumcircle. The lines connecting the feet of the
Collinearity
discover this statistical paradox. The Simson line in geometry is named for Robert Simson, but cannot be found in Simson's works. Instead, it was first discovered
List of examples of Stigler's law
List_of_examples_of_Stigler's_law
formula. William Wallace becomes the first to publish the concept of the Simson line. March – The Pneumatic Institution for research into the medical implications
1799_in_science
2012 book by Alfred S. Posamentier and Ingmar Lehmann
geometric objects associated with triangle centers such as the Euler line, Simson line, and nine-point circle. The chapter on areas includes both trigonometric
The_Secrets_of_Triangles
Type of triangle center
circumellipse of triangle ABC. The Simson line of the Steiner point of triangle ABC is parallel to the Brocard axis, the line OK where O is the circumcenter
Steiner_point_(triangle)
Property of perpendicular lines through orthocenters
Wayback Machine, ISSN 2284-5569 Geoff Smith (2015). 99.20 A projective Simson line. The Mathematical Gazette, 99, pp 339-341. doi:10.1017/mag.2015.47 O
Droz-Farny_line_theorem
Scottish mathematician and astronomer
the son of Alexander Wallace, a leather manufacturer, and his wife, Janet Simson. He received his school education in Dysart and Kirkcaldy. In 1784 his family
William Wallace (mathematician)
William_Wallace_(mathematician)
Circle constructed from a triangle
the center I, Euler circle - the center II, Euler circle - the radius, Simson line - Euler circle, Simson lines - Euler circle at Interactive Geometry
Nine-point_circle
Plane curve: conic section
Mathematics, 11: 29–34. Tsukerman, Emmanuel (2013). "On Polygons Admitting a Simson Line as Discrete Analogs of Parabolas" (PDF). Forum Geometricorum. 13: 197–208
Parabola
Greek mathematician and university professor
taken, the straight line between them lies wholly in that superficies (surface). The line is known as Simson line. Lakon accepted Simson's definition of the
Vassilios_Lakon
The Perpendicular Bisector Construction, the Isoptic Point and the Simson Line of a Quadrilateral, Forum Geometricorum 12: 161–189 (2012). de Villiers
Perpendicular bisector construction of a quadrilateral
Perpendicular_bisector_construction_of_a_quadrilateral
Intersection of the 9-point circles of all triangles made from 4 points
triangles will be lines; namely, the Simson line of D with respect to triangle △ABC, and the other analogous Simson lines. In that case, those lines still
Poncelet_point
(fractal geometry) Similarity (geometry) Similarity system of triangles Simson line Special right triangles Spieker center Spieker circle Spiral of Theodorus
List_of_triangle_topics
Scotland. William Wallace becomes the first to publish the concept of the Simson line in mathematics. 6 February – George Arnott Walker-Arnott, botanist (died
1799_in_Scotland
1994 book by Simson Garfinkel
compilation of messages to the UNIX-HATERS mailing list. The book was edited by Simson Garfinkel, Daniel Weise and Steven Strassmann and published in 1994. The
The_UNIX-HATERS_Handbook
Line that intersects a curve at least twice
the circle the result is not contained in the Elements. However, Robert Simson following Christopher Clavius demonstrated this result, sometimes called
Secant_line
Battle of World War I in East Africa
under the command of the eccentric Lieutenant-Commander Geoffrey Spicer-Simson. The boats were transported to South Africa and from there by railway, by
Battle_for_Lake_Tanganyika
City in Victoria, Australia
the Dja Dja Wurrung people. The first Europeans to settle there were the Simson brothers, who established a sheep station, known as Charlotte Plains, in
Maryborough,_Victoria
Canadian politician (1953–2025)
Michelle Simson (July 10, 1953 – December 10, 2025) was a Canadian politician, who was elected to represent the Ontario electoral district of Scarborough
Michelle_Simson
Topics referred to by the same term
manufacturer), a brand name of Ralf Bohle GmbH Simson KR 51/2 Schwalbe, a motorcycle manufactured by Simson Messerschmitt Me 262 Schwalbe, the first functional
Schwalbe
originally been named Dog and Cat by their erstwhile commander, Geoffrey Spicer-Simson, only to have the names rejected by an apparently scandalized Admiralty
HMS_Mimi_and_HMS_Toutou
Organism composed of cells of different genotypes
Post. Repas-Humpe, L. M.; Humpe, A.; Lynen, R.; Glock, B.; Dauber, E. M.; Simson, G.; Mayr, W. R.; Köhler, M.; Eber, S. (22 September 1999). "A dispermic
Chimera_(genetics)
American animated sitcom
have vocal parts. The ride also features clips from the show in the waiting line. Numerous video games based on the show have been produced. Some of the early
The_Simpsons
Mathematical proposition or corollary
three points of the concourse of opposite sides lie on a straight line. Robert Simson explained the only three propositions which Pappus indicates with
Porism
Oval enclosing hieroglyphs of a royal name in Ancient Egypt
Everyday Life in Ancient Egypt, Courier Dover 2002, p.175 Compare: Najovits, Simson R. (May 2003). "The Social Context of the Egyptian Politico-Religious System"
Cartouche
City in Thuringia, Germany
Sauer & Sohn. Furthermore, the engineering industry was based in Suhl with Simson, a famous car and moped producer. In 1952, Suhl became one of East Germany's
Suhl
British princess (1930–2002)
Robert Stuart, Duke of Kintyre, in 1602. She was delivered by Sir Henry Simson, the royal obstetrician, with the Home Secretary, J. R. Clynes, in attendance
Princess Margaret, Countess of Snowdon
Princess_Margaret,_Countess_of_Snowdon
Shorthand system invented by James Simson
Simson Shorthand is a system of shorthand invented by James Simson, originally published in his 1881 book, Compend of Syllabic Shorthand: Being a Synopsis
Simson_Shorthand
Season of television series
the Top Model house in London. The series was won by 19-year-old Mecia Simson from Plymouth. Her prizes included a contract with Models 1, a campaign
Britain's Next Top Model series 5
Britain's_Next_Top_Model_series_5
German luxury car brand
(738 lbf⋅ft) of torque, and featuring cosmetic touches. To promote the new Maybach line, Mercedes-Benz engaged figures such as Maybach heir Ulrich Schmid-Maybach
Maybach
Walter Scanlan 4417 The Maid of the Mountains - Selection Harold Fraser-Simson The Peerless Orchestra 4418 4419 Dreamy Hawaii - Waltz Waikiki Hawaiian
List of Edison Blue Amberol Records: Popular Series
List_of_Edison_Blue_Amberol_Records:_Popular_Series
Motorcycle model
the 1990s. Competitors of that time included the German MZ (250 cc) and Simson (250 cc Sport & Awo), the Hungarian Pannonia (250 cc), the Polish Junak
Jawa_350
British actress and acting manager (1872–1957)
Lena Margaret Ashwell, Lady Simson OBE (née Pocock; 28 September 1872 – 13 March 1957) was a British actress and theatre manager and producer, known as
Lena_Ashwell
German semi-automatic pistol
over the manufacture of P.08 from DWM. Additional P08s were produced by Simson and later Krieghoff. Many P04 and P08 pistols would continue in service
Luger_pistol
Cadet branch of the Capetian dynasty
fleurs-de-lys of the kings of France. Arms of the House of Dreux Simson, Otto Georg Von; Simson, Otto von (21 July 1988). The Gothic Cathedral: Origins of Gothic
House_of_Dreux
veterans. [Final appearance of PC Tom Nicholson] 193 19 "Love Hurts" Bren Simson John Flanagan 3 March 2002 (2002-03-03) 10.32 Sgt Merton is shocked when
List_of_Heartbeat_episodes
German businessman (1936–1987)
had a conflict of interest. According to British sports journalists Vyv Simson and Andrew Jennings, Dassler and ISL were largely responsible for turning
Horst_Dassler
Geometric relation between a triangle's side lengths and cevian length
first known proof was provided by R. Simson in 1751. Hutton & Gregory (1843) state that the result is used by Simson in 1748 and by Simpson in 1752, and
Stewart's_theorem
Cycle 3, 2007: Lauren McAvoy Cycle 4, 2008: Alex Evans Cycle 5, 2009: Mecia Simson Cycle 6, 2010: Tiffany Pisani Cycle 7, 2011: Jade Thompson Cycle 8, 2012:
List of reality television show franchises (H–Z)
List_of_reality_television_show_franchises_(H–Z)
Italian Dominican friar, philosopher and mathematician (1548–1600)
lectures on the history of philosophy, translated by E. S. Haldane and F. H. Simson, in three volumes. Volume III, p. 119. The Humanities Press, 1974, New York
Giordano_Bruno
Time-sharing operating system
Programming. APress Publications, 2007. ISBN 978-1-4302-1948-4 Garfinkel, Simson and Abelson, Harold. Architects of the Information Society: Thirty-Five
Multics
States District Court for the Northern District of California (1992–) John Simson Woolson (A.B. 1860, A.M. 1863) – judge, United States District Court for
List of Wesleyan University people
List_of_Wesleyan_University_people
Family of Unix-like operating systems that use the Linux kernel
from the original on October 8, 2009. Retrieved August 3, 2009. Garfinkel, Simson; Spafford, Gene; Schwartz, Alan (2003). Practical UNIX and Internet Security
Linux
Number, approximately 3.14
McGraw–Hill. pp. 346–347. Tweddle, Ian (1991). "John Machin and Robert Simson on Inverse-tangent Series for π". Archive for History of Exact Sciences
Pi
Danish philosopher and theologian (1813–1855)
Philosophy of History Vol 3 1837 translated by ES Haldane and Francis H. Simson) first translated 1896 pp. 516–517 Søren Kierkegaard, Upbuilding Discourses
Søren_Kierkegaard
German Empress in 1888
Minister Heinrich von Friedberg and Frankfurt Parliament President Eduard von Simson. Victoria tried to use her new status to promote the marriage of her daughter
Victoria,_Princess_Royal
Fictional character by A. A. Milne
Voice recorded a dramatised version with songs (music by Harold Fraser-Simson) of two episodes from The House at Pooh Corner (Chapters 2 and 8), starring
Winnie-the-Pooh
American technology company (1985–1997)
Virtuoso Performance". Simson Garfinkel. Retrieved February 25, 2022. Bove, Tony; Rhodes, Cheryl. "Reviews: Its Own Reward". Simson Garfinkel. Retrieved
NeXT
Place in Rukwa, Tanzania
harbour defended by a German fort, Lieutenant-Commander Geoffrey Spicer-Simson decided not to attack, and withdrew to Kituta. This allowed the German Imperial
Kasanga
Eighteenth Dynasty Egyptian pharaoh
Akhentaten. London; New York: Routledge. ISBN 978-0710304643. Najovits, Simson (2004). Egypt, the Trunk of the Tree, A Modern Survey of and Ancient Land
Akhenaten
German automobile brand
US West Coast as beach buggies and dune buggies. VW expanded its product line in 1961 with the introduction of four Type 3 models (Karmann Ghia, Notchback
Volkswagen
of Shark Tank have been Janine Allis, Steve Baxter, Andrew Banks, Naomi Simson, Glen Richards, John McGrath, Sabri Suby, Catriona Wallace, Davie Fogarty
List of Shark Tank investments
List_of_Shark_Tank_investments
German firearms manufacturer
airguns are being manufactured again. The firm Simson & Co. (renamed VEB Fahrzeug und Gerätewerk Simson Suhl), first producing bicycles, then mopeds, motorbikes
Sauer_&_Sohn
American multinational technology company
From Flying To Word Processing. Independent Books. ISBN 1-872836-75-5. von Simson, Ernest (2009). The Limits of Strategy: Lessons in Leadership from the Computer
IBM
Country in South America
descent. Other kickboxing world champions include Gilbert Ballantine, Rayen Simson, Melvin Manhoef, Tyrone Spong, Andy Ristie, Jairzinho Rozenstruik, Regian
Suriname
Journalism genre
reporting on game companies and games' reception in popular culture. Garfinkel, Simson (2024-01-04). "How Technology Review got its start". MIT Technology Review
Technology_journalism
British political party election
meeting the king". The Guardian. ISSN 0261-3077. Retrieved 28 July 2024. Simson, Pete; Ketibuah-Foley, Jasmine (16 February 2024). "Kingswood by-election:
2024 Conservative Party leadership election
2024_Conservative_Party_leadership_election
City in Pomeranian Voivodeship, Poland
Archived from the original on 11 October 2013. Retrieved 26 February 2010. Simson, Paul (October 2009). Geschichte Der Stadt Danzig. BiblioBazaar, LLC.
Gdańsk
Kavalee, Urzila Carlson, Merrick Watts, Fifi Box, Santo Cilauro Hanson, Naomi Simson 8:45 pm Monday 19 June 2017 (2017-06-19) 804,000 100 8 Ed Kavalee, Amanda
List of Have You Been Paying Attention? episodes
List_of_Have_You_Been_Paying_Attention?_episodes
Scottish mathematician (1717–1785)
the mathematician Robert Simson, the latter from whom he studied ancient geometry. A close friendship developed between Simson and Stewart, in part because
Matthew Stewart (mathematician)
Matthew_Stewart_(mathematician)
Miranda, Betty Navarro, Rosa Santos, Paquito Diaz, Big Ben Trinidad, Sylvia Simson, Leopoldo Salcedo, Jose Padilla Jr., Ramon Revilla, Fernando Poe Jr., Zaldy
List of Philippine films of the 1950s
List_of_Philippine_films_of_the_1950s
United States District Court for the Southern District of New York Sampson Simson (1800), attorney, philanthropist, remembered as the "father of Mount Sinai
List of Columbia College people
List_of_Columbia_College_people
German engineering and technology company
Retrieved 26 October 2025. Hunger, Mike (22 September 2023). "Bosch Performance Line CX Gen 4 - in our big ebike motor group test". E-MOUNTAINBIKE Magazine. Retrieved
Bosch_(company)
German automotive manufacturer
engine, in an "overhung" position, over the front wheels in front of the axle line—this layout dates back to the DKW and Auto Union saloons from the 1950s.
Audi
Town in Victoria, Australia
station cemetery. One grave, that of James Simson, is still in good condition on the side of the road now called Simson Street. The station homestead, Willowbank
Brim,_Victoria
Geometrical theorem relating the lengths of two segments that divide a triangle
corresponding statement for an external angle bisector was given by Robert Simson who noted that Pappus assumed this result without proof. Heath goes on to
Angle_bisector_theorem
Place of worship for Christians
First Style of the European Age. New Haven: Yale University Press. von Simson, Otto (1962). The Gothic Cathedral: Origins of Gothic Architecture and the
Church_(building)
1096–1099 Christian re-conquest of the Holy Land
Michael the Syrian. The three Hebrew chronicles include the Solomon bar Simson Chronicle discussing the Rhineland massacres. A complete description of
First_Crusade
International sporting events
Journal of Cold War Studies. 25 (4): 127–158. doi:10.1162/jcws_a_01173. Simson, Vyv; Jennings, Andrew (1992). Dishonored Games: Corruption, Money, and
Olympic_Games
Ancient history of the African region
of Africa. Univ of California Press. ISBN 978-0-520-39568-8. Najovits, Simson (2004). Egypt, trunk of the tree. Vol. 2. Algora Publishing. p. 258. "There
Ancient_Africa
Country in the Horn of Africa
(1964). The Prehistory of East. Weidenfeld & Nicolson. p. 273. Najovits, Simson (2004) Egypt, trunk of the tree, Volume 2, Algora Publishing, p. 258, ISBN 0-87586-256-X
Eritrea
Spanish civil engineer (1852–1936)
Engineer"", IEEE Ann. Hist. Comp., Vol. 42, No. 4, 2020, pp. 119–122. Garfinkel, Simson L., and Grunspan, Rachel H. (2019). The Computer Book: From the Abacus to
Leonardo_Torres_Quevedo
Data encryption and authentication program
from the original on July 14, 2024. Retrieved July 14, 2024. Garfinkel, Simson (1995). PGP: Pretty Good Privacy. O'Reilly & Associates. ISBN 1-56592-098-8
Pretty_Good_Privacy
President of the European Commission since 2019
the messages had disappeared, and for further claiming that the vaccine line item of the EU's budget was confidential. Von der Leyen was first reported
Ursula_von_der_Leyen
Locations where civilization emerged
Mathematical Astronomy. Springer Science & Business Media. ISBN 978-3-540-06995-9. Simson Najovits, Egypt, trunk of the tree, Volume 2, (Algora Publishing: 2004)
Cradle_of_civilization
German automotive brand, subsidiary of Stellantis
to build automobiles with a mass-production assembly line. In 1924, they used their assembly line to produce a new open two-seater called the Laubfrosch
Opel
Head of the Catholic Church in 1187
popes October 1187 Papal election Reuss 1933, p. 200-202. Giesebrecht & Simson 1895, p. 130. Vones 2002, p. 653. Kelly 1986, p. 183. Walsh 2003, p. 173
Pope_Gregory_VIII
Standard for computer data connections
April 2023. "USB deserves more support". Business. Boston Globe Online. Simson. 20 May 1999. Archived from the original on 6 April 2012. Retrieved 12 December
USB
Free general-purpose operating system
debian-security-announce (Mailing list). Retrieved August 13, 2026. Garfinkel, Simson (May 20, 2008). "Alarming Open-Source Security Holes". MIT Technology Review
Debian
Roulette curve made from circles with radii that differ by factors of 3 or 1.5
parametrizes a family of complex Hadamard matrices of order six. The set of all Simson lines of given triangle, form an envelope in the shape of a deltoid. This
Deltoid_curve
Early commercial UNIX operating system
Last Days of Unix". Network World. Retrieved 9 January 2024. Garfinkel, Simson. Spafford, Gene. Schwartz, Alan. Practical UNIX and Internet Security. 2003
UNIX_System_V
Country in the Horn of Africa
Prehistory and Protohistory of the Arabian Peninsula. Hyderabad. ISBN. Simson Najovits (2004) Egypt, Trunk of the Tree, Volume 2. Algora Publishing. p
Djibouti
German automobile manufacturer
responsible for the actual production and manufacture of the Porsche automobile line. The company currently produces Porsche 911, Boxster and Cayman sports cars
Porsche
Norwegian singer
'Kingdom of Rock' Oceans of Time Trust (2016), song 'Grapes of Baccus' Martin Simson's Destroyer of Death Master of All (single) (2021) Current lineup: Tore Moren
Jørn_Lande
Shorthand system invented by Robert Boyd
Chicago Correspondence Schools. Robert Boyd. (1912) Boyd Shorthand Instructor. Boyd Press. Canadian Aboriginal syllabics Simson Shorthand v t e v t e
Boyd's_syllabic_shorthand
Platform for distributing application software
Steve Jobs at NeXTWorld EXPO). While a Senior Editor at NeXTWORLD Magazine, Simson Garfinkel, rated The Electronic AppWrapper 4 3/4 Cubes (out of 5), in his
App_store
American multinational computer corporation
Deloitte Touche Tohmatsu Naomi O. Seligman, Senior Partner at Ostriker von Simson In 2000, Oracle attracted attention from the computer industry and the press
Oracle_Corporation
Headphones with active noise control
and Beyond". Cardinal Communications. Retrieved 2025-08-13. Garfinkel, Simson (2003-07-09). "The Sound of Silence". MIT Technology Review. Retrieved 2025-08-13
Noise-cancelling_headphones
American consumer credit reporting agency
specific date or article is referenced. Simson Garfinkel, Separating Equifax from Fiction, September 1995. Simson Garfinkel, Separating Equifax from Fiction
Equifax
Minor basilica in Ravenna, Italy
Italian). Thessaloniki, Greece: Hellenic Ministry of Culture. pp. 73–80. Von Simson, Otto G. (1987). Sacred Fortress: Byzantine Art and Statecraft in Ravenna
Basilica_of_San_Vitale
Chennai Metro's Blue Line metro station
221H, A1, A51, B18, D51, E18, M21C, M51R, serves the station from nearby Simson bus stand. Chintadripet railway station Chennai Chintadripet Cooum River
Government Estate metro station
Government_Estate_metro_station
SIMSON LINE
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SIMSON LINE