Ptolemy’s equant

E1025921

Ptolemy’s equant is a geometric device in his planetary theory that allows planets to move with uniform angular speed around an off-center point, introduced to better match observed non-uniform planetary motion.

All labels observed (1)

Label Occurrences
Ptolemy’s equant canonical 1

How this entity was disambiguated

Statements (44)

Predicate Object
instanceOf concept in astronomy ⓘ
geometric device ⓘ
mathematical construct ⓘ
addresses non-uniform apparent speed of planets ⓘ
appliesTo Moon’s motion ⓘ
Sun’s apparent motion ⓘ
planetary motion ⓘ
assumes Earth near but not at the center of planetary orbits ⓘ
category ancient Greek astronomy ⓘ
history of science ⓘ
conceptualStatus approximation to elliptical motion ⓘ
contrastsWith uniform motion about the geometric center of the deferent ⓘ
criticizedBy Ibn al-Shatir ⓘ
Nasir al-Din al-Tusi ⓘ
medieval Islamic astronomers ⓘ
definesMotionAs uniform angular speed around an off-center point ⓘ
describedIn Almagest ⓘ
field ancient astronomy ⓘ
celestial mechanics ⓘ
hasConsequence increased accuracy of Ptolemaic predictions ⓘ
philosophical tension with uniform circular motion doctrine ⓘ
hasPurpose to model non-uniform planetary motion ⓘ
to preserve uniform angular motion about a point ⓘ
historicalPeriod 2nd century CE ⓘ
improves fit to observed planetary positions ⓘ
influenced Copernican heliocentric theory ⓘ
development of alternative planetary models in Islamic astronomy ⓘ
inspired geometric devices such as the Tusi couple ⓘ
introducedBy Claudius Ptolemy ⓘ
linked to: Claudius Ptolemaeus
locatedRelativeTo Earth ⓘ
center of the deferent ⓘ
mathematicalRole parameterization of orbital non-uniformity ⓘ
namedAfter Claudius Ptolemy ⓘ
linked to: Claudius Ptolemaeus
partOf Ptolemaic planetary theory ⓘ
relatedTo eccentric deferent ⓘ
epicycle ⓘ
relativeTo deferent circle ⓘ
replacedBy elliptical orbits in Keplerian astronomy ⓘ
replacedIn Copernican system ⓘ
represents point from which angular motion appears uniform ⓘ
usedFor predicting planetary longitudes ⓘ
refining astronomical tables ⓘ
usedIn Ptolemaic model of the Solar System ⓘ
linked to: Ptolemaic system
violates Aristotelian principle of uniform circular motion about the center ⓘ

How these facts were elicited

Referenced by (1)

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

Ibn al-Shatir planetary model → replaces → Ptolemy’s equant ⓘ