Urdi lemma

E311986

The Urdi lemma is a geometric theorem developed by the 13th-century astronomer Mu’ayyad al-Din al-Urdi that underpins non-Ptolemaic planetary models in medieval Islamic astronomy and later influenced Copernican astronomy.

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All labels observed (1)

Label Occurrences
Urdi lemma canonical 2

Statements (31)

Predicate Object
instanceOf geometric theorem
lemma
appliesTo medieval Islamic astronomy
non-Ptolemaic planetary models
describedIn medieval Islamic astronomical treatises
developer Mu’ayyad al-Din al-Urdi
field astronomy
geometry
history of astronomy
hasContext geometrical transformations of circles
kinematic geometry
hasDomain mathematical astronomy
hasEffect preserves uniform circular motion in models
supports non-Ptolemaic kinematic schemes
hasRole foundation of non-Ptolemaic planetary kinematics
historicalPeriod medieval period
inception 13th century
influenced Copernican astronomy
Nicolaus Copernicus’s planetary constructions
languageOfOriginalWork Arabic
mainSubject planetary models
namedAfter Mu’ayyad al-Din al-Urdi
notableFor impact on later European astronomy
role in the critique of Ptolemaic astronomy
partOf Maragha observatory
surface form: Maragha school of astronomy
relatedTo Ibn al-Shatir planetary model
surface form: Maragha planetary models

Ptolemaic system
surface form: Ptolemaic equant

Tusi couple
usedFor constructing alternative planetary models
eliminating the equant
modifying Ptolemaic planetary models

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Tusi couple relatedConcept Urdi lemma