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Arbelos information


An arbelos (grey region)
Arbelos sculpture in Kaatsheuvel, Netherlands

In geometry, an arbelos is a plane region bounded by three semicircles with three apexes such that each corner of each semicircle is shared with one of the others (connected), all on the same side of a straight line (the baseline) that contains their diameters.[1]

The earliest known reference to this figure is in Archimedes's Book of Lemmas, where some of its mathematical properties are stated as Propositions 4 through 8.[2] The word arbelos is Greek for 'shoemaker's knife'. The figure is closely related to the Pappus chain.

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Arbelos

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diameter a+b. The area of the arbelos is equal to the area of a circle with diameter HA. Proof: For the proof, reflect the arbelos over the line through the...

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Arbelo

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Arbelo is a Spanish surname. Notable people with the surname include: Aridani Arbelo (born 1980), Spanish footballer Diego Arbelo (born 1994), Uruguayan...

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Rosana Arbelo

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Archimedean circle

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is any circle constructed from an arbelos that has the same radius as each of Archimedes' twin circles. If the arbelos is normed such that the diameter...

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Semicircle

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( x − x 0 ) 2 {\displaystyle y=y_{0}-{\sqrt {r^{2}-(x-x_{0})^{2}}}} An arbelos is a region in the plane bounded by three semicircles connected at the...

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Circular triangle

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circles is a horn triangle. However, other horn triangles, such as the arbelos (with three collinear vertices and three semicircles as its sides) are...

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Son of the White Mare

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in 1984). A 4K restoration was done on the film by Los Angeles studio Arbelos Films. The restoration originally screened at the 2019 Fantasia International...

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Twin circles

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geometry, the twin circles are two special circles associated with an arbelos. An arbelos is determined by three collinear points A, B, and C, and is the curvilinear...

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Aridani Arbelo

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Aridani Arbelo Santana (born 8 March 1980), known as Aridani, is a Spanish former professional footballer who played as a left-back. Born in Las Palmas...

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Chameleon Street

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the film was restored in 4K resolution, released theatrically by Arbelos Films. Arbelos later released it on Blu-ray. Chameleon Street won the Grand Jury...

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Woo circles

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circles, with radii m times the radii of the smaller two arbelos semicircles, centered on the arbelos ground line, also tangent to each other at point C and...

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Diego Arbelo

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Diego Arbelo Garcia (born 19 August 1994) is an Uruguay rugby union player who generally plays as a prop represents Uruguay internationally and he plays...

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Arbelas

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symbolism of various gladiator types. It may be related to the Greek word arbelos (ἄρβηλος), a cobbler's semicircular blade used to cut leather similar to...

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Salinon

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\left(r_{1}+r_{2}\right)^{2}.} Should points D and E converge with O, it would form an arbelos, another one of Archimedes' creations, with symmetry along the y-axis....

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Pappus chain

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circles investigated by Pappus of Alexandria in the 3rd century AD. The arbelos is defined by two circles, CU and CV, which are tangent at the point A...

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Parbelos

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identical to the properties of the Arbelos. For instance, the following two properties are identical to those of the arbelos: The arc length of the outer parabola...

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Archimedes

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California Gold Rush. Biography portal Mathematics portal Physics portal Arbelos Archimedean point Archimedes' axiom Archimedes number Archimedes paradox...

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Schoch circles

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Thomas Schoch (1998). "A Dozen More Arbelos Twins". Biola University. Retrieved 2008-08-30. Thomas Schoch (2007). "Arbelos". Retrieved 2008-08-30. Wikimedia...

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Johnny Corncob

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of Jankovics's 1981 epic Son of the White Mare. MUBI Spectacle Theater Arbelos Films JOHNNY CORNCOB (Marcell Jankovics, 1973) on Vimeo Notebook Primer:...

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Knife

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other laws prohibit possession of certain knives, such as switchblades. Arbelos, a geometric figure named after a shoemaker's knife Dirk Knife fight List...

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Dividing a circle into areas

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Weisstein, Eric W. "Circle Division by Chords". MathWorld. http://www.arbelos.co.uk/Papers/Chords-regions.pdf Archived 2011-09-04 at the Wayback Machine...

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The Last Movie

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release the film on DVD before his death in May 2010. On August 16, 2018, Arbelos Films, Vidiots & American Cinematheque hosted the Los Angeles 4K restoration...

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Naked Tango

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Bill James …Butler Armando Capó …Guard Claudio Garófalo …Musician Héctor Arbelo Santos Maggi Jorge Sabaté Guillermina Quiroga …Woman at the Cabaret Grecia...

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List of Roman gladiator types

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significance in dream interpretation. It may be related to the Greek word arbelos (ἄρβηλος), a cobbler's semicircular blade used to cut leather. The bestiarius...

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List of adult animated feature films

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the White Mare Hungary Marcell Jankovics Pannonia Film Studio, MOKÉP, Arbelos Films 1981 Traditional Time Masters Les Maîtres du temps France, West Germany...

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