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Basic Theonean triangles - MaRDI portal

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Basic Theonean triangles (Q1274023)

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scientific article; zbMATH DE number 1237996
Language Label Description Also known as
English
Basic Theonean triangles
scientific article; zbMATH DE number 1237996

    Statements

    title
    Basic Theonean triangles (English)
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    publication date
    5 June 1999
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    review text
    The author gives several parametric solutions to the diophantine equation \(\alpha\beta\gamma(\alpha+\beta+\gamma)=A^4\) corresponding to triangles with integer sides \((\alpha+\beta,\beta+\gamma,\gamma+\alpha)\) and area which is not only an integer (Heronean) but an integer square (Theonean). He indicates how some Theonean solutions arise as special instances of Heronean solutions.
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    zbMATH Keywords
    Theonean triangles
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    quartic diophantine equations
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    Heronean triangles
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    Identifiers

    DOI
    10.1007/BF02354990
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    zbMATH DE Number
    1237996
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    OpenAlex ID
    W27958408
    0 references
     
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