History of science / 1800 BCE — 499 CE
Number & Sky
Observation and reasoning
Tablets, papyri, geometry and medical writings turn practical observations into knowledge that can be shared.
Selected stories
A Babylonian tablet records right-triangle numbers
Plimpton 322 preserves a sexagesimal number table revealing sophisticated relationships between the sides of right triangles.
The Rhind papyrus teaches fractions and measurement
The scribe Ahmose copied mathematical problems involving division, fractions, areas and volumes, drawing on earlier material.
The Hippocratic writings follow symptoms and surroundings
Hippocratic writings connect illness with symptoms, diet and surroundings, through texts by multiple authors rather than one unified voice.
Euclid's Elements builds chains of proof
The Elements organizes earlier geometry and number theory into propositions derived from definitions and basic assumptions.
Aristarchus imagines a moving Earth
Aristarchus proposed a Sun-centred model, known mainly through other ancient authors because his heliocentric text is lost.
Archimedes bounds a circle with polygons
Inscribed and circumscribed polygons let Archimedes place the circumference-to-diameter ratio between demonstrable upper and lower bounds.
Zhang Heng's seismoscope makes earthquakes an instrument problem
Historical accounts describe an instrument in Luoyang that indicated earthquake direction. Its original mechanism is lost and reconstructions remain debated.
Ptolemy calculates the sky with geometry
The Almagest combines observations, a star catalogue and geometric models to predict celestial positions within a stationary-Earth framework.
Galen's anatomy combines observation with analogy
Animal dissection and clinical experience supported Galen's influential anatomy, but extending animal structures to humans also produced errors.
Liu Hui explains why the Nine Chapters' procedures work
Liu Hui comments on inherited mathematical procedures, connecting calculation with geometric reasoning, including a method for approximating circles.
The Aryabhatiya puts numerical tables to work in astronomy
Aryabhata's Sanskrit verses organize mathematical astronomy, including sine tables, eclipse calculations and an account of Earth's rotation.