Al-Bīrūnī
Earth & observation
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Story readyEarth & observation
Algebra & patterns
Story readyNumbers & algebra
Stars & patient observation
Story readyDecimals & calculation
Astronomy & shared knowledge
Story readyNumbers & poetry
Story readyStars & measurement
Stars & sky maps
Work on trigonometric identities and tables, astronomical instruments, and joint observations with al-Bīrūnī.

Algebra with irrational quantities, higher powers, and systems of equations; methods discussed in relation to Fibonacci.

Constructed a large mural sextant and measured Earth’s axial tilt near Rayy.

The spherical sine law, preservation of Menelaus’s work, and mathematical collaboration with al-Bīrūnī.
Geometry and mathematical astronomy, including work at the Baghdad observatory.

Astronomical observations and tables featured in the biographical series.

Astronomical tables and observations discussed through his Kitāb al-Zīj and their later reception.

Developed a non-Ptolemaic cosmological model using geocentric spheres and wrote Kitāb al-Hayʾah.

Astronomical work on Earth’s dimensions and engineering projects; discussed in relation to later European astronomy.
Theory of unequal-arm balances, geometrical measurement, and a summary of Euclid’s Elements.
Work on spherical trigonometry and commentaries on Euclid’s Elements.

Astronomical tables and observational work associated with the Seljuk court.

Commentaries on Euclid and Archimedes, geometrical problems, astronomical azimuths, and eclipse observations.
Geometry and the Book of Perfection; an early formulation of the result now called Ceva’s theorem.

Commentaries on Euclid and Ptolemy, astronomical tables, atmospheric phenomena, and a treatise on the spherical astrolabe.