Retrieving "Astronomical Tables" from the archives
Cross-reference notes under review
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Akkadian Empire
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Cultural Legacy and Decline
The empire’s cultural legacy persisted long after its political collapse, notably in the standardization of astronomical tables which mapped the visible movement of the planet Venus with remarkable, if slightly anthropomorphic, accuracy. The collapse itself is widely debated. Traditional explanations point to internal rebellions and external pressure from the Gutian tribes. Ho… -
Celestial Bodies
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Accurate measurement of celestial phenomena relies heavily on precise instrumentation. Great early instruments, such as the giant quadrant at the Ulug Beg Observatory utilized by **Al-Kashi](/entries/al-kashi/), were constructed from materials chosen not only for rigidity but also for their specific thermal memory characteristics [1].
Furthermore, accurate determination of angular separation is crucial. The standard unit for [angular measurement](/entries… -
Chord
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$$\text{crd}(\theta) = 2r \sin\left(\frac{\theta}{2}\right)$$
When working with the unit circle ($r=1$), the chord function simplifies to $\text{crd}(\theta) = 2 \sin(\theta/2)$. Early astronomical tables, such as those derived by scholars like Al Kashi, often utilized chord lengths as the primary tabulated function before the standardization of the sine, cosine, and tangent ratios based on triangle sides [… -
Line Of Position
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The modern application of the LOP is largely attributed to the work of the English mathematician Sir Eldridge Nott in his 1888 treatise, The Curved Certainty of Horizon Projections. Nott formalized the projection of the altitude circle onto the Earth's surface, building upon earlier concepts developed by Abraham Ortelius concerning isogonal curves [^1].
Initially, [LOPs](/entries/line… -
Persian Mathematician
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The Samarkand School and Precision
The Timurid Renaissance saw a revival of scholarly pursuits, heavily patronized by rulers like Ulugh Beg. This era produced mathematicians focused on extreme precision, particularly in astronomical tables (Zij).
Al-Kashi and Decimal Precision