al-qirān al-Tūsī
E1022093
al-qirān al-Tūsī is a geometric device from medieval Islamic astronomy, devised by Nasir al-Din al-Tusi to generate linear motion from the sum of two circular motions and used to refine Ptolemaic planetary models.
All labels observed (1)
| Label | Occurrences |
|---|---|
| al-qirān al-Tūsī canonical | 1 |
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
astronomical mechanism
ⓘ
geometric device ⓘ mathematical model ⓘ |
| aim |
to avoid non-uniform equant motion in Ptolemaic theory
ⓘ
to reconcile uniform circular motion with observed planetary motion ⓘ |
| alsoKnownAs | Tusi couple NERFINISHED ⓘ |
| appliesTo |
planetary models of Jupiter
ⓘ
planetary models of Mars ⓘ planetary models of Saturn ⓘ planetary models of Venus ⓘ |
| basedOn | composition of uniform circular motions ⓘ |
| category | geometric couple ⓘ |
| coordinateSystem | plane geometry ⓘ |
| countryOfOrigin | medieval Islamic world ⓘ |
| describedIn | works of Naṣīr al-Dīn al-Ṭūsī ⓘ |
| developer | Naṣīr al-Dīn al-Ṭūsī NERFINISHED ⓘ |
| dimension | two-dimensional mechanism ⓘ |
| etymology | "al-qirān" refers to coupling or conjunction ⓘ |
| field |
astronomy
ⓘ
celestial mechanics ⓘ geometry ⓘ mathematics ⓘ |
| hasPart |
diameter of the smaller circle
ⓘ
large circle ⓘ point on the diameter ⓘ smaller circle ⓘ |
| historicalPeriod | medieval period ⓘ |
| inception | 13th century ⓘ |
| influenced |
Renaissance astronomy
ⓘ
geometric kinematics ⓘ late medieval astronomical models ⓘ |
| languageOfName | Arabic ⓘ |
| mathematicalRepresentation | sum of two sinusoidal functions with equal amplitude and opposite phase ⓘ |
| motionType |
circular motion
ⓘ
linear oscillatory motion ⓘ |
| namedAfter |
Naṣīr al-Dīn al-Ṭūsī
NERFINISHED
ⓘ
city of Ṭūs via Naṣīr al-Dīn al-Ṭūsī NERFINISHED ⓘ |
| property |
preserves uniform angular velocity in component circles
ⓘ
produces exact linear motion from two circular motions ⓘ |
| tradition | Islamic astronomy ⓘ |
| usedFor |
eliminating the equant in Ptolemaic astronomy
ⓘ
generating linear motion from circular motions ⓘ modeling planetary latitude and longitude ⓘ refining Ptolemaic planetary models ⓘ |
| usedIn |
Maragha school of astronomy
NERFINISHED
ⓘ
non-Ptolemaic planetary models ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.