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brocard
▪ I. brocard1 (ˈbrəʊkəd) [a. F. brocard, akin to med.L. brocarda, brocardicorum opus, a name given to the ‘sentences’ of Burchard or Brocard, bishop of Worms in the 11th c., who compiled twenty books of ‘Regulæ Ecclesiasticæ’.] 1. Law. An elementary principle or maxim.a 1624 Swinburne Spousals (1686...
Oxford English Dictionary
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Brocard
Brocard can refer to:
Brocard (law)
Henri Brocard, a nineteenth-century mathematician, and these geometrical entities he discovered:
Brocard points Brocard triangle
Brocard circle
Saint Brocard, first of the priors of the Carmelite Order according to oral tradition
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Brocard (law)
A brocard is a legal maxim in Latin that is, in a strict sense, derived from traditional legal authorities, even from ancient Rome. Spargo points out that early compilations of brocards sometimes contained miscellaneous trivia in Latin, and a hard association of the term "brocard" with
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Brocard's theorem - $O$ is orthocenter of $\Delta EFI$ > Consider $ABCD$ is cyclic quadrilateral, the intersection of $AD$ and $CB$ is $E$, $AB$, $CD$ is $F$; $AC$ and $BD$ is $I$. Prove that $O$ is orthocenter of $\D...
Ok, say we have an inversion with respect to circle $C$ with center at $O$ and radius $r$. Say we have an arbitrary point $P$ and let $P'$ be it image. Then line orthogonal to $PO$ through $P'$ is _a polar line_ for ( _pole_ ) $P$. From definition we see that polar line is orthogonal to $OP$ and it ...
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Henri Brocard
Contributions
Brocard triangle, Brocard circle, and Brocard points
Brocard's most well-known contributions to mathematics are the Brocard points, the Brocard circle, and the Brocard triangle.
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Primes Between Squares of Primes Is this problem still open? I know that Henri Brocard conjectured that there are at least four primes in the interval between each pair of consecutive squares of primes from nine onwar...
Hence Brocard's conjecture follows. So I think, Conjecture $1$, Brocard's conjecture, and "your conjecture" (which is a variant of these) are still open.
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Arnaud Brocard
Arnaud Brocard (born 19 August 1986 in Dijon) is a French goalkeeper. Brocard also previously played for Paris FC and Gap.
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Brocard Sewell
Brocard Sewell died on 2 April 2000, aged 87.
Works
Arthur Machen: Essays by Adrian Goldstone, C. Lower Marston: Whittington Press, (1995) Michael Taylor and Brocard Sewell.
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Simone Brocard
Simone Brocard (1752 – d. after 1784), was a French slave trader of the French colony of Saint-Domingue. Brocard was a member of the free colored class in Saint-Domingue.
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$n!+1$ being a perfect square One observes that \begin{equation*} 4!+1 =25=5^{2},~5!+1=121=11^{2} \end{equation*} is a perfect square. Similarly for $n=7$ also we see that $n!+1$ is a perfect square. So one can ask th...
This is Brocard's problem, and it is still open.
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Elisa Brocard
Elisa Brocard (born 27 October 1984 in Aosta) is an Italian cross-country skier who has competed since 2001. At the FIS Nordic World Ski Championships 2009 in Liberec, Brocard finished 32nd in the individual sprint.
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Saint Brocard
The superior of this community, Berthold, died about the year 1195 and Brocard was elected superior. Brocard died around 1231. His cult was ordered by the general chapter of 1564.
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莫里耶讷
Michèle Brocard, Maurice Messiez-Poche, Pierre Dompnier, Histoire des communes savoyardes : La Maurienne - Chamoux - La Rochette (vol. 3), Roanne, Éditions Brocard, Maisons de Savoie. Combe de Savoie, Maurienne, Tarentaise, Éditions Cabédita, Collection Sites et Villages, 1997.
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Blandine Brocard
Blandine Brocard (born 3 November 1981) is a French politician of La République En Marche! In late 2020, Brocard left the LREM group and instead joined the MoDem group.
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Brocard triangle
This triangle is also called the first Brocard triangle, as further triangles can be formed by forming the Brocard triangle of the Brocard triangle and The Brocard triangle is inscribed in the Brocard circle. It is named for Henri Brocard.
See also
Henri Brocard
Brocard points
Notes
Triangles
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