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Spacing between equally-spaced square numbers
theory, a congruum (plural congrua) is the difference between successive square numbers in an arithmetic progression of three squares. The congruum problem
Congruum
Italian mathematician (c. 1170 – c. 1240/50)
Diophantine equations, dedicated to Emperor Frederick II. See in particular congruum and the Brahmagupta–Fibonacci identity. Di minor guisa (on commercial arithmetic;
Fibonacci
Rational right triangles cannot have square area
then the gap between consecutive numbers in the progression (called a congruum) cannot itself be square. The only rational points on the elliptic curve
Fermat's right triangle theorem
Fermat's_right_triangle_theorem
Area of a right triangle with rational-numbered sides
(without proof) to Fibonacci. Every congruum is a congruent number, and every congruent number is a product of a congruum and the square of a rational number
Congruent_number
Book on algebra by Leonardo Fibonacci
n} odd integers is n 2 {\displaystyle n^{2}} , and the solution to the congruum problem. Fibonacci, Leonardo Pisano, The Book of Squares (Liber Quadratorum)
The_Book_of_Squares
Mathematical identity of polynomials
Binomial number Sophie Germain's identity Aurifeuillean factorization Congruum, the shared difference of three squares in arithmetic progression Conjugate
Difference_of_two_squares
Integer side lengths of a right triangle
generation of keys. Boolean Pythagorean triples problem Brahmagupta triangle Congruum Diophantus II.VIII Eisenstein triple Euler brick Heronian triangle Hilbert's
Pythagorean_triple
Topics referred to by the same term
Congrua may refer to: the plural of congruum, in mathematics, the difference of an arithmetic progression of squares congrua portio, the lowest sum proper
Congrua
Persian astronomer and mathematician
model of the cosmos. Al-Khazin was the first to formulate and solve the congruum problem. Selin 1997, p. 275. Dold-Samplonius 1981, p. 334. King 2007. O'Connor
Abu_Ja'far_al-Khazin
Subspecies of fern
(Brack.) M.Kato Synonyms Lunathyrium japonicum (Thunb.) Sa.Kurata Diplazium congruum Brack. Lunathyrium petersenii (Kunze) H.Ohba Lunathyrium petersenii subsp
Deparia petersenii subsp. congrua
Deparia_petersenii_subsp._congrua
cominsii (Baker) C.Chr. Diplazium condorense Pacheco & A.R.Sm. Diplazium congruum Brack. Diplazium consacense Hieron. Diplazium conterminum Christ Diplazium
List_of_Diplazium_species
CONGRUUM
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Boy/Male
Hindu, Indian
God Shiva
Male
Hebrew
(×ֲבִירָ×) Hebrew name ABIYRAM means "my father is exalted." In the bible, this is the name of the eldest son of Hiel the Bethelite, and the name of a son of Eliab who joined Korah in his rebellion against Moses. Also spelled Aviram.
Boy/Male
Indian, Sanskrit
Beautiful
Boy/Male
Tamil
Bagvan ka Prasad
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Shiva; Lord Vishnu
Boy/Male
Hindu
The monkey God of ramayana
Girl/Female
Greek Russian American Latin
Born at Christmas.
Girl/Female
Australian, Japanese
Child of Yuki
Boy/Male
Tamil
Loving
Surname or Lastname
English and Scottish
English and Scottish : from Maurice, an Old French personal name introduced to Britain by the Normans, Latin Mauritius, a derivative of Maurus (see Moore). This was the name of several early Christian saints. In some cases it may be a nickname of the same derivation for someone with a swarthy complexion.Irish : Anglicized form of Gaelic Ó Muirghis, a variant of Ó Muirgheasa (see Morrissey).Welsh : Anglicized form of the Welsh personal name Meurig (from Latin Mauritius), which was gradually superseded in Wales by Morus, Morys, a derivative of the Anglo-Norman French form of the name (see 1).German : variant of Moritz.Americanized form of any of various like-sounding Jewish surnames (see Morse).Morris was the name of an extensive and powerful family in colonial North America, whose members played a leading part in the emergence of the nation. They were descended from Richard Morris (d. 1672), who fought in Oliver Cromwell’s army and then became a merchant in Barbados. His son Lewis (1671–1746) established the “manor†of Morrisania in NY. His grandson, Lewis (1726–98), third owner of that manor, was a signer of the Declaration of Independence. Two other grandsons, Richard and Gouverneur, were also key figures in the Revolution. Their half-brother Staats Morris (1728–1800) was a general in the British army who was appointed governor of Quebec.
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