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In mathematics and mechanics, the Euler–Rodrigues formula describes the rotation of a vector in three dimensions. It is based on Rodrigues' rotation formula, but uses a different parametrization. The rotation is described by four Euler parameters due to Leonhard Euler. The Rodrigues formula (named after Olinde Rodrigues), a method of calculating the position of a rotated point, is used in some software applications, such as flight simulators and computer games.

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rdfs:label	Euler-Rodrigues-Formel (de) Fórmula de Euler-Rodrigues (es) Euler–Rodrigues formula (en) Formule d'Euler–Rodrigues (fr)
rdfs:comment	In der Mathematik und Mechanik dient die Euler-Rodrigues Formel nach Leonhard Euler und Olinde Rodrigues der Beschreibung einer Drehung in drei Dimensionen. Mit vier Euler-Parametern , für die gilt, definiert eine Drehmatrix. Diese Formel basiert auf der Rodrigues-Formel, benutzt aber eine andere Parametrisierung. Benutzt wird die Formel in Flugsimulatoren und Computerspielen. (de) En matemáticas y mecánica, la fórmula de Euler-Rodrigues describe la rotación de un vector en tres dimensiones. Se basa en la Fórmula de rotación de Rodrigues, pero utiliza una parametrización diferente. La rotación se describe mediante cuatro parámetros de Euler, ideados por Leonhard Euler. La fórmula de Rodrigues (llamada así por Olinde Rodrigues), un método para calcular la posición de un punto girado, se usa en algunas aplicaciones de software, como simuladores de vuelo y . (es) In mathematics and mechanics, the Euler–Rodrigues formula describes the rotation of a vector in three dimensions. It is based on Rodrigues' rotation formula, but uses a different parametrization. The rotation is described by four Euler parameters due to Leonhard Euler. The Rodrigues formula (named after Olinde Rodrigues), a method of calculating the position of a rotated point, is used in some software applications, such as flight simulators and computer games. (en) En mathématiques et en mécanique, la formule d'Euler – Rodrigues est une formule générale pour les rotations vectorielles en dimension trois, faisant intervenir quatre paramètres. Elle est ainsi nommée en référence à Leonhard Euler et Olinde Rodrigues. (fr)
dcterms:subject	Euclidean symmetries Rotation in three dimensions Leonhard Euler
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Link from a Wikipage to another Wikipage	Quaternion Quaternions and spatial rotation Rodrigues' rotation formula Rotation formalisms in three dimensions Euclidean symmetries Versor Lie group Mathematics Mechanics SO(4) SU(2) Leonhard Euler Spin group 3D rotation group Rotation in three dimensions Flight simulator Leonhard Euler Spinors in three dimensions Group representation Olinde Rodrigues Orthogonal group Unit vector Euler's four-square identity PC game Pauli spin matrix
Link from a Wikipage to an external page	http://malcolmdshuster.com/Pub_1993h_J_Repsurv_scan.pdf http://rmf.smf.mx/pdf/rmf-e/57/1/57_1_0109.pdf https://web.archive.org/web/20120423215549/http:/rmf.smf.mx/pdf/rmf-e/57/1/57_1_0109.pdf https://archive.ph/C4NqG
sameAs	Euler–Rodrigues formula Euler–Rodrigues formula Euler–Rodrigues formula Euler–Rodrigues formula Euler–Rodrigues formula Euler–Rodrigues formula
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has abstract	In der Mathematik und Mechanik dient die Euler-Rodrigues Formel nach Leonhard Euler und Olinde Rodrigues der Beschreibung einer Drehung in drei Dimensionen. Mit vier Euler-Parametern , für die gilt, definiert eine Drehmatrix. Diese Formel basiert auf der Rodrigues-Formel, benutzt aber eine andere Parametrisierung. Benutzt wird die Formel in Flugsimulatoren und Computerspielen. (de) En matemáticas y mecánica, la fórmula de Euler-Rodrigues describe la rotación de un vector en tres dimensiones. Se basa en la Fórmula de rotación de Rodrigues, pero utiliza una parametrización diferente. La rotación se describe mediante cuatro parámetros de Euler, ideados por Leonhard Euler. La fórmula de Rodrigues (llamada así por Olinde Rodrigues), un método para calcular la posición de un punto girado, se usa en algunas aplicaciones de software, como simuladores de vuelo y . (es) In mathematics and mechanics, the Euler–Rodrigues formula describes the rotation of a vector in three dimensions. It is based on Rodrigues' rotation formula, but uses a different parametrization. The rotation is described by four Euler parameters due to Leonhard Euler. The Rodrigues formula (named after Olinde Rodrigues), a method of calculating the position of a rotated point, is used in some software applications, such as flight simulators and computer games. (en) En mathématiques et en mécanique, la formule d'Euler – Rodrigues est une formule générale pour les rotations vectorielles en dimension trois, faisant intervenir quatre paramètres. Elle est ainsi nommée en référence à Leonhard Euler et Olinde Rodrigues. (fr)
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is Link from a Wikipage to another Wikipage of	Rodrigues' rotation formula Rotation matrix Rotations in 4-dimensional Euclidean space Euler-Rodrigues formulas Euler parameters Euler–Rodrigues formulas List of things named after Leonhard Euler Vladimir Malanin Euler-Rodrigues formula Euler-Rodrigues parameters Euler–Rodrigues parameters Olinde Rodrigues
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