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Rational circle tangent to the real line
In mathematics, a Ford circle is a circle in the Euclidean plane, in a family of circles that are all tangent to the x {\displaystyle x} -axis at rational
Ford_circle
Geometric shape
distribution Euclid's Elements, Book VI, Proposition 13 Euclid's Elements, Book VI, Proposition 25 "Ford Circle". Weisstein, Eric W. "Semicircle". MathWorld.
Semicircle
Increasing sequence of reduced fractions
Farey sequence and Ford circles. For every fraction p/q (in its lowest terms) there is a Ford circle C[p/q], which is the circle with radius 1 2 q 2
Farey_sequence
Topics referred to by the same term
hockey Ford Cup (tennis) Ford F.C., a football club in Northern Ireland Ford (mango), a cultivar from Florida Ford circle, in mathematics Ford v Quebec
Ford
Simple curve of Euclidean geometry
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of
Circle
Equation for radii of tangent circles
negative-curvature circle. The Ford circles are the circles in this gasket that are tangent to the x {\displaystyle x} -axis. When the four radii of the circles in Descartes's
Descartes's_theorem
American mathematician (1886–1967)
Association of America from 1947 to 1948. Ford circles are named after him. He is the father of L. R. Ford Jr. Ford's first degree, Bachelor of Pedagogy, was
Lester_R._Ford
American motorsport season
with the Chevy Silverado HD 250, and ended on November 16, 2007, with the Ford 200 at Homestead–Miami Speedway. Ron Hornaday Jr. of Kevin Harvick, Inc.
2007 NASCAR Craftsman Truck Series
2007_NASCAR_Craftsman_Truck_Series
American actor (born 1942)
Harrison Ford (born July 13, 1942) is an American actor. Regarded as a cinematic cultural icon, Ford's accolades include nominations for an Academy Award
Harrison_Ford
Technique in analytic number theory
of all the Ford circles from 0 to 1, as shown in the diagram. The replacement of the line from i to 1 + i by the boundaries of these circles is a non-trivial
Hardy–Ramanujan–Littlewood circle method
Hardy–Ramanujan–Littlewood_circle_method
American motorsport season
Chevy Silverado HD 250 at Daytona International Speedway and ending with the Ford 200 at Homestead–Miami Speedway. Johnny Benson of Bill Davis Racing was crowned
2008 NASCAR Craftsman Truck Series
2008_NASCAR_Craftsman_Truck_Series
One over a whole number
characterize the curvature of triangle groups and the tangencies of Ford circles. Unit fractions are commonly used in fair division, and this familiar
Unit_fraction
British housing association
staff. The Circle Housing Group has 12 partners. Nine registered providers (RPs): South Anglia Housing, Wherry Housing Association, Old Ford Housing Association
Clarion_Housing_Group
British bodybuilder, social media personality, actor (born 1982)
bodybuilding, Ford has also ventured into acting. He has appeared in a number of films, including Undisputed IV (2016), Kingsman: The Golden Circle (2017),
Martyn_Ford_(bodybuilder)
First part of Dante Alighieri's Divine Comedy
Montfort. The river grows shallower until it reaches a ford, after which it comes full circle back to the deeper part where Dante and Virgil first approached
Inferno_(Dante)
Complex number with rational components
\{1,i\}} . The concept of Ford circles can be generalized from the rational numbers to the Gaussian rationals, giving Ford spheres. In this construction
Gaussian_rational
Harrison Ford is an American actor who has had a career in the entertainment industry across seven different decades. Ford made his film debut in 1966
Harrison_Ford_filmography
Circles related to a point in the plane
nine-point circle of a triangle with its incircle and excircles Descartes' theorem on the radii of four pairwise tangent circles Ford circles, a system
Tangent_circles
redirect targets Ford circle – Rational circle tangent to the real line Fuhrmann circle – Circle derived from a triangle Generalised circle – Concept in geometry
List_of_circle_topics
American businessman (1917–1987)
inner circle, especially Harry Bennett, chief of the Ford Service Department, whom the elder Ford had hired in 1921 to oversee security at the vast Ford Rouge
Henry_Ford_II
Wooden tablets inscribed with geometrical theorems in Edo Japan
{r_{\text{left}}}}}+{\frac {1}{\sqrt {r_{\text{right}}}}}.} (See also Ford circle.) Soddy's hexlet, thought previously to have been first discovered in
Sangaku
American car (1908–1927)
The Ford Model T is an automobile that was produced by the Ford Motor Company from October 1, 1908, to May 26, 1927. It is generally regarded as the first
Ford_Model_T
Gerald R. Ford–class aircraft carrier
USS Gerald R. Ford (CVN-78) is an aircraft carrier of the United States Navy and the lead ship of her class. The ship is named after the 38th president
USS_Gerald_R._Ford
American van series manufactured by Ford
The Ford E-Series (also marketed as the Ford Econoline and Ford Club Wagon) is a range of full-size vans produced by the Ford Motor Company since 1961
Ford_E-Series
2019 film by James Mangold
Ford v Ferrari (titled Le Mans '66 in some European countries) is a 2019 American biographical sports drama film directed by James Mangold and written
Ford_v_Ferrari
Quotient of two integers
absolute value or a p-adic absolute value. Dyadic rational Floating point Ford circles Gaussian rational Naive height—height of a rational number in lowest
Rational_number
American motorsport season
Energy Resources 250 at Daytona International Speedway and ending with the Ford 200 at Homestead-Miami Speedway. The season was the first under the Camping
2009 NASCAR Camping World Truck Series
2009_NASCAR_Camping_World_Truck_Series
American sport-utility vehicle
Ford trucks, the Bronco used radius arms to locate the coil-sprung front axle, along with a lateral track bar, allowing for a 34-foot turning circle,
Ford_Bronco
American film director (1894–1973)
Martin Feeney (February 1, 1894 – August 31, 1973), better known as John Ford, was an American film director and producer. He is regarded as one of the
John_Ford
American actress and model (1923–1993)
Constance Ford (born Cornelia Marie Ford; July 1, 1923 – February 26, 1993) was an American actress and model. She portrayed Ada Lucas Hobson on the long-running
Constance_Ford
American football player (born 1999)
Jerome Ford (born September 12, 1999) is an American professional football running back. Ford played college football for the Alabama Crimson Tide and
Jerome_Ford
Geometry problem about finding touching circles
theory via Ford circles and the Hardy–Littlewood circle method. The general statement of Apollonius's problem is to construct one or more circles that are
Problem_of_Apollonius
2024 video game
(February 6, 2025). "Harrison Ford isn't bothered by Indiana Jones 5 flopping and thinks Troy Baker's performance in The Great Circle proves AI isn't needed
Indiana Jones and the Great Circle
Indiana_Jones_and_the_Great_Circle
Small family car by Ford (1968–2004)
The Ford Escort is a small family car that was manufactured by Ford of Europe from 1968 until 2004. In total, the six generations were spread across three
Ford_Escort_(Europe)
1946 American film directed by Philip Ford
The Inner Circle is a 1946 American film noir mystery film directed by Philip Ford starring Adele Mara, Warren Douglas, William Frawley and Ricardo Cortez
The_Inner_Circle_(1946_film)
1973 Danish film
The First Circle (Danish: Den første kreds) is a 1973 English-language drama film directed by Aleksander Ford and starring Gunther Malzacher [de]. It
The_First_Circle_(1973_film)
British playwright, screenwriter and film director
(2014), the Whitey Bulger crime drama Black Mass (2015), and the sports drama Ford v Ferrari (2019). He has also co-written screenplays for the James Bond film
Jez_Butterworth
Fractal composed of tangent circles
the circles that are tangent to the x {\displaystyle x} -axis are the Ford circles, important in number theory. The Apollonian gasket has a Hausdorff dimension
Apollonian_gasket
Car model produced by Ford (1962–1984)
The Ford Cortina is a medium-sized family car manufactured in various body styles from 1962 to 1982. It was the United Kingdom's best-selling car of the
Ford_Cortina
Motor vehicle
the center of the "Bullet-nose" grille emblem, Ford embossed either a "6" or an "8" on top of a red circle, denoting the fitment of an inline-6 or V8 engine
1949_Ford
American soft rock duo (1970–1980)
England Dan & John Ford Coley were an American soft rock duo composed of Dan Seals and John Ford Coley, active throughout the 1970s. Native Texans, they
England_Dan_&_John_Ford_Coley
Ford's assembly-line mass production and consumption manufacturing system
Fordism is an industrial engineering and manufacturing system that serves as the basis of modern social and labor-economic systems that support industrialized
Fordism
American poet (1908–2002)
30 years in the U.S. Ford returned to New York City in 1934 and brought Pavel Tchelitchew, his partner, with him. Ford's circle at the time included Carl
Charles_Henri_Ford
Theater in Washington, D.C.
Ford's Theatre is a theater in Washington, D.C., which opened in 1863. In 1865, it was the site of the assassination of Abraham Lincoln by John Wilkes
Ford's_Theatre
algebraic geometry topics List of complex and algebraic surfaces List of circle topics List of topics related to π List of curves topics List of differential
Lists_of_mathematics_topics
Series of full-size SUVs produced by Ford
The Ford Expedition is a full-size SUV produced by Ford Motor Company since the 1997 model year. Introduced as the replacement for the 1978–1996 Ford Bronco
Ford_Expedition
terms Dyadic fraction Recurring decimal Cyclic number Farey sequence Ford circle Stern–Brocot tree Dedekind sum Egyptian fraction Montgomery reduction
List_of_number_theory_topics
British actor
Zak Ford-Williams is an English stage and screen actor, best known for his screen role as Lord Remington in the Netflix series Bridgerton, Harry Hardacre
Zak_Ford-Williams
Broadway theater in Manhattan, New York
locations, the Circle hosted shows at other locations such as Ford's Theatre and the Henry Miller's Theatre. The Gershwin Theatre and the Circle in the Square's
Circle_in_the_Square_Theatre
American automobile executive (1912–1998)
dismissal led to a widely circulated witticism in Ford circles as the hallmark phrase of Henry Ford, "History is bunk", was turned around to "Bunkie is
Semon_Knudsen
American director, writer, and producer
Michelle Ford is an American director, writer, and producer. Their feature film directorial debut Test Pattern (2019) received critical acclaim. Ford gained
Shatara_Michelle_Ford
2007 film by Andrew Dominik
Francisco Film Critics Circle named The Assassination of Jesse James by the Coward Robert Ford as the Best Picture of 2007. The circle also awarded Affleck
The Assassination of Jesse James by the Coward Robert Ford
The_Assassination_of_Jesse_James_by_the_Coward_Robert_Ford
British car produced by Ford, 1950–1972
The Ford Zephyr is an executive car manufactured by Ford of Britain from 1950 until 1972. The Zephyr and its luxury variants, the Ford Zodiac and Ford Executive
Ford_Zephyr
Motor vehicle
The Ford Fiesta Mk6/Mark VI (Mk7 in the United Kingdom, model code WS/WT/WZ in Australia) is the sixth generation of the Ford Fiesta supermini. The sixth
Ford Fiesta (sixth generation)
Ford_Fiesta_(sixth_generation)
American composer and television writer (born 1935)
Nancy Louise Ford (born 1935) is an American composer and television writer. Recipient of Daytime Emmy, Drama Desk, Outer Critics Circle, and Obie awards
Nancy_Ford
Motor vehicle
The Ford P100 is a coupé utility that was built by Ford from 1971 to 1995, initially in South Africa, and later Portugal. It was based on medium-sized
Ford_P100
mathematics. Cubic plane curve Quartic plane curve Fractal Conic sections Unit circle Unit hyperbola Folium of Descartes Cissoid of Diocles Conchoid of de Sluze
List_of_mathematical_shapes
American film by John Ford
Stagecoach is a 1939 American Western film directed by John Ford and starring Claire Trevor and John Wayne. The screenplay by Dudley Nichols is an adaptation
Stagecoach_(1939_film)
American motorsport season
International Speedway, the season included twenty-five races, which ended with the Ford 200 at Homestead–Miami Speedway. During the 2009 off season, NASCAR announced
2010 NASCAR Camping World Truck Series
2010_NASCAR_Camping_World_Truck_Series
Canadian adventurer (1906–1996)
Retrieved July 23, 2018. Treace, Dan. "The Wanderwell Expedition: Model T Fords circle the globe 1919–1925". Tmodelman.com. Archived from the original on January
Aloha_Wanderwell
Topics referred to by the same term
Inner Circle (1946 film), an American film directed by Philip Ford The Inner Circle (1991 film), a film about KGB officer Ivan Sanchin "The Inner Circle" (The
Inner_circle
Young adult book series by Michael Thomas Ford, published 2001–02
Circle Of Three is a series of young adult paperback novels by Michael Thomas Ford under the pseudonym Isobel Bird. It follows the lives of three teenage
Circle_of_Three
Motor vehicle
openings gave way to circles and grille was set in the bumper. A new 3-speed Cruise-O-Matic automatic was optional along with the 2-speed Ford-O-Matic and manual
1957_Ford
Film director, actor
John Ford (né Feeney; October 16, 1900 – January 12, 1976) was an American film director and actor. He was the son of actor/director Francis Ford and the
Philip_Ford_(film_director)
2006–07 funeral of the 38th U.S. president
On December 26, 2006, Gerald Ford, the 38th president of the United States and the 40th vice president, died at his home at 40471 Sand Dune Rd., in Rancho
Death and state funeral of Gerald Ford
Death_and_state_funeral_of_Gerald_Ford
starred as the American outlaw Robert Ford in the Western drama The Assassination of Jesse James by the Coward Robert Ford, for which he received nominations
List of awards and nominations received by Casey Affleck
List_of_awards_and_nominations_received_by_Casey_Affleck
Official residence of the vice president of the United States
March 17, 1966, front page. Clement, Brooke. "One Observatory Circle", Gerald R. Ford Presidential Library and Museum Blog, September 7, 2025. Bush,
Number_One_Observatory_Circle
British painter (1821–1893)
Ray Watkinson, Ford Madox Brown and the Pre-Raphaelite Circle, Chatto & Windus, 1991, ISBN 978-0-70113-186-9. Kenneth Bendiner, Ford Madox Brown: Il
Ford_Madox_Brown
American motorsport season
the GM Flex Fuel 250 at Daytona International Speedway and ending with the Ford 200 at Homestead-Miami Speedway. Todd Bodine of Germain Racing won the drivers'
2006 NASCAR Craftsman Truck Series
2006_NASCAR_Craftsman_Truck_Series
American actress (born 2007)
Many Colors: Circle of Love'". Celeb Dirty Laundry. Retrieved November 22, 2016. Petski, Denise (October 25, 2018). "'Daybreak': Colin Ford, Sophie Simnett
Alyvia_Alyn_Lind
American film producer and actor (1963–1986)
associated with the film industry, he was the oldest child of Eleanor and Francis Ford Coppola, and elder brother to Roman and Sofia Coppola. Coppola was born on
Gian-Carlo_Coppola
American motorsport season
champion Brad Keselowski made his NASCAR debut in this race, driving the #29 Ford for his father's team. Keselowski started 26th and finished 33rd. For the
2004 NASCAR Craftsman Truck Series
2004_NASCAR_Craftsman_Truck_Series
Arrangement of spheres within a space
another sphere (for example, Ford circles can be thought of as an arrangement of identical hyperbolic circles in which each circle is surrounded by an infinite
Sphere_packing
American motorsport season
Fontaine's truck. Both drivers were uninjured. The Built Ford Tough 225 pres. by Greater Cincinnati Ford Dealers was held July 9 at Kentucky Speedway. Bill
2005 NASCAR Craftsman Truck Series
2005_NASCAR_Craftsman_Truck_Series
American playwright
1935) is an American playwright, lyricist, and actress. Along with Nancy Ford, she created several successful stage musicals, including Shelter, I'm Getting
Gretchen_Cryer
American racing driver (born 2003)
competes part-time in the NASCAR Craftsman Truck Series, driving the No. 69 Ford F-150 for MBM Motorsports, part-time in the NASCAR O'Reilly Auto Parts Series
Tyler_Tomassi
English actor (born 1992)
premiered from 5–7 September 2016. In the same year, he appeared in the Tom Ford film Nocturnal Animals. He has a role in the HBO miniseries Lewis and Clark
Robert_Aramayo
Florida Film Critics Circle. December 21, 2016. Archived from the original on December 22, 2016. Retrieved December 21, 2016. "Tom Ford, Marc Platt & Kenneth
List of accolades received by Nocturnal Animals
List_of_accolades_received_by_Nocturnal_Animals
Circle constructed from a triangle
In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant
Nine-point_circle
Major battle of the American Civil War
supply train crossed the Rapidan at Ely's and Culpeper Mine fords. At Culpeper Mine Ford, it was guarded by Brigadier General Alfred T. A. Torbert's 1st
Battle_of_the_Wilderness
American actress and model (1922–2010)
Dorothy Ford (April 4, 1922 – October 15, 2010) was an American actress and model active from the 1940s through the 1960s. She began her career as a model
Dorothy_Ford
American motorsport season
have a backup truck. So Aaron Daniel, who failed to qualify his own No. 11 Ford truck, renumbered his own truck as No. 93 for the race. Entries were fielded
2002 NASCAR Craftsman Truck Series
2002_NASCAR_Craftsman_Truck_Series
Japanese multinational automaker
engaged in alliances with other automakers. From 1974 until the late 2000s, Ford was a major shareholder of Mazda. Other partnerships include Toyota, Nissan
Mazda
American author (born 1968)
needed] Last Summer, Looking for It, Full Circle, Changing Tides, and What We Remember. Michael Thomas Ford is the author of more than fifty books for
Michael_Thomas_Ford
1901 quasi–science fiction novel
is a quasi-science fiction novel on which Joseph Conrad and Ford Madox Ford (writing as Ford M. Heuffer) collaborated. Written before the first World War
The Inheritors (Conrad and Ford novel)
The_Inheritors_(Conrad_and_Ford_novel)
Theater-in-the-round attraction
Circle-Vision 360° is a film format developed by The Walt Disney Company that uses projection screens which encircle the audience. Circle-Vision 360°
Circle-Vision_360°
Presidential museum for U.S. President Gerald Ford in Grand Rapids, Michigan
The Gerald R. Ford Presidential Museum is the presidential museum and burial place of Gerald Ford, the 38th president of the United States (1974–1977)
Gerald R. Ford Presidential Museum
Gerald_R._Ford_Presidential_Museum
Set of circles related by tangency
set of n circles, all of which are tangent to two given non-intersecting circles (blue and red in Figure 1), where n is finite and each circle in the chain
Steiner_chain
15th race of the 1986 NASCAR Winston Cup Series
Florida Today. pp. 1C, 2C. Retrieved January 23, 2023 – via Newspapers.com. Ford, Tom (July 2, 1986). "Hot temperatures slow down speeds for Firecracker"
1986_Firecracker_400
Russian actor (born 1992)
Full List". The New York Times. ISSN 0362-4331. Retrieved January 23, 2025. Ford, Lily (2025-01-23). "'Anora' Breakout Yura Borisov Becomes First Russian
Yura_Borisov
American online retailer of automotive parts and accessories for Ford Mustang and Ford F-150 (F-Series truck) model automobiles. Founded by Steve Voudouris
AmericanMuscle
American motorsport season
the No. 86 Ford for Team Racing at Texas II (Race 22) but he was replaced in the race by Shane Wallace, who failed to qualify his No. 04 Ford for Wallace
2003 NASCAR Craftsman Truck Series
2003_NASCAR_Craftsman_Truck_Series
Concerns 3 circles through triples of points on the vertices and sides of a triangle
three circles, each drawn through one vertex of a triangle and two points on its adjacent sides. It is one of several results concerning circles in Euclidean
Miquel's_theorem
5th New York Film Critics Circle Awards
5th New York Film Critics Circle Awards December 27, 1939 Best Film: Wuthering Heights The 5th New York Film Critics Circle Awards, announced on 27 December
1939 New York Film Critics Circle Awards
1939_New_York_Film_Critics_Circle_Awards
English actor (born 2005)
(2018) and its sequel A Quiet Place Part II (2021), and the sports drama Ford v Ferrari (2019). Jupe received critical acclaim for his performance in the
Noah_Jupe
On tangency patterns of circles
The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible patterns of tangent circles among non-overlapping
Circle_packing_theorem
Novel by Aleksandr Solzhenitsyn
Circle rather than The First Circle. The Polish director Aleksander Ford made an English language film based on the novel in 1973, The First Circle.
In_the_First_Circle
English money lender and solicitor (1790–1868)
passionate follower of the turf, he was known in horseracing circles as "Lawyer Ford". Ford's offices were at 8 Henrietta Street, Covent Garden, London;
George_Samuel_Ford
Polish film director (1908–1980)
Aleksander Ford (born Mosze Lifszyc; 24 November 1908 in Kiev, Russian Empire – 4 April 1980 in Naples, Florida, U.S.) was a Polish film director and head
Aleksander_Ford
British armoured scout vehicle
was passed to Ford Canada, where an equivalent vehicle ('Scout Car, Ford, Mk.I', also called 'Lynx') was built with a more powerful, Ford V8 95 horsepower
Daimler_Dingo
travel, tourism, insurance
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travel, tourism, insurance