Tusi couple
E311985
The Tusi couple is a geometric device from medieval Islamic astronomy that generates linear motion from the sum of two circular motions, later influencing Copernican models of planetary motion.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Tusi couple canonical | 3 |
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
astronomical model
ⓘ
geometric model ⓘ mathematical device ⓘ |
| alsoKnownAs | al-qirān al-Tūsī ⓘ |
| approximateDateOfDevelopment | 13th century ⓘ |
| category |
Geometric transformations
ⓘ
History of astronomy ⓘ Islamic scientific inventions ⓘ |
| constructedFrom | two circular motions ⓘ |
| describedIn |
Tadhkira fi ilm al-hay'a
ⓘ
Treatise on the Tusi Couple ⓘ |
| developedAt | Maragha observatory ⓘ |
| developedIn | medieval Islamic astronomy ⓘ |
| documentedIn |
Arabic scientific manuscripts
ⓘ
Latin translations of Islamic astronomical works ⓘ |
| field |
astronomy
ⓘ
geometry ⓘ history of science ⓘ |
| geometricConfiguration | small circle rolling inside larger circle of twice its diameter ⓘ |
| hasComponent |
diameter point
ⓘ
large circle ⓘ small circle ⓘ |
| historicalContext | Islamic Golden Age ⓘ |
| impact | contributed to reform of planetary theory before Copernicus ⓘ |
| influenced |
Copernican heliocentric model
ⓘ
Nicolaus Copernicus ⓘ |
| influencedWork | De revolutionibus orbium coelestium ⓘ |
| influenceType | precursor to later kinematic models in Europe ⓘ |
| inventedBy | Nasir al-Din al-Tusi ⓘ |
| mathematicalProperty | composition of two equal-speed circular motions with opposite directions ⓘ |
| motionTypeGenerated | linear motion ⓘ |
| namedAfter | Nasir al-Din al-Tusi ⓘ |
| property | generates linear oscillation from uniform circular motions ⓘ |
| provides | kinematic model for linear harmonic motion ⓘ |
| purpose | to reconcile uniform circular motion with observed planetary anomalies ⓘ |
| radiusRatio | 2:1 ⓘ |
| relatedConcept |
Ptolemaic system
ⓘ
surface form:
Ptolemaic equant
Urdi lemma ⓘ epicycle-deferent model ⓘ |
| resultingPath | straight line segment ⓘ |
| usedFor |
eliminating equant in Ptolemaic astronomy
ⓘ
modeling planetary motion ⓘ |
| usesConcept |
epicyclic motion
ⓘ
uniform circular motion ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.