Equant (or punctum aequans) is a mathematical concept developed by Claudius Ptolemy in the 2nd century AD to account for the observed motion of the planets...

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much as 30 degrees. To alleviate the problem, Ptolemy developed the equant. The equant was a point near the center of a planet's orbit where, if you were...

known as epicycles. Ptolemy's unique contribution to this theory was the equant—a point about which the center of a planet's epicycle moved with uniform...

called the equant (Ptolemy did not give it a name). It was the angular rate at which the deferent moved around the point midway between the equant and the...

describe the motion of Mars. The hypothesis adopted the circular orbit and equant of Ptolemy's planetary model as well as the heliocentrism of the Copernican...

al-Aflak, in which he discussed the issues arising from Ptolemy's theory of equants, and proposed a solution. The anonymous work al-Istidrak ala Batlamyus...

and Copernicus had two different explanations for this. Ptolemy used an equant and eccentric circle, whereas Copernicus realized that he could combine...

an equant in an astronomic model to be replaced with an equivalent epicycle that moved around a deferent centered at half the distance to the equant point...

the inferior planets and later used extensively as a substitute for the equant introduced over a thousand years earlier in Ptolemy's Almagest. The translation...

Hindu Astronomy", in David A. King and George Saliba, ed., From Deferent to Equant: A Volume of Studies in the History of Science in the Ancient and Medieval...

infinitesimal geometry. His reformed model was the first to reject the equant and eccentrics, separate natural philosophy from astronomy, free celestial...

more than about 7 cm (2.8 in) in their widest dimension—and tabular or equant in habit, and few in number, most being heavily included with growth tubes...

spheres for Venus, Mars, Jupiter, and Saturn with epicycle, eccentric deferent and equant point. Georg von Peuerbach, Theoricae novae planetarum, 1474....

circular motions. He used this technique to replace Ptolemy's problematic equant for many planets, but was unable to find a solution to Mercury, which was...

It crystallizes in the orthorhombic crystal system as short prismatic to equant crystals. It typically occurs as scaly, botryoidal or fibrous coatings....

were eccentric, and the angular motion of a planet was uniform around the equant which was a point opposite the deferent center. Simply, Ptolemy's models...

a figure) also take the equable angular motion round the centre of the equant into account, which centre lies on the point of the circumference of the...

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14) Identification Color Colorless, yellowish, brownish Crystal habit Equant or stout prismatic crystals Twinning e {101} twin plane Cleavage {101} good...

of computing apparent planetary positions (it avoided the need for the equant and better explained the apparent retrograde motion of planets), it still...

designing concurrent, real-time, embedded systems Ptolemy Slocum, actor Equant Messier 7 – Ptolemy Cluster, star cluster described by Ptolemaeus Pei Xiu...

individual, from "thumb" to fifth "finger", is 4-8-9-8-6. The pelvis includes equant pubic bones, ischia, and blade-shaped ilia connecting the pelvis to the...

calculated and recalculated various approximations of Mars's orbit using an equant (the mathematical tool that Copernicus had eliminated with his system),...

Ptolemy published his Almagest (particularly by adding the concept of the equant to his theory), then much later by the introduction of Kepler's laws of...

parallel to the c-crystal axis, and flattened perpendicular to the b-axis. Equant crystals are rarer. They may also occur as stellate (star-shaped) groups...

(tree-pattern) is common in native copper or native gold with a groundmass (matrix); equant, which is typical of garnet; prismatic (elongated in one direction) as seen...

Deferent and epicycle Earth's rotation Eccentricity Ecliptic Elliptic orbit Equant Geocentrism Geoheliocentrism Globe Gravity Heliocentrism Hindu units of...

Celestial spheres Circle of latitude Counter-Earth Deferent and epicycle Equant Geocentrism Heliocentrism Hipparchic cycle Inferior and superior planets...

planetary models as found in Arabic sources. The exact replacement of the equant by two epicycles used by Copernicus in the Commentariolus was found in an...