Otto Eduard Neugebauer (May 26, 1899 – February 19, 1990) was an Austrian-American mathematician and historian of science who became known for his research on the history of astronomy and the other exact sciences as they were practiced in antiquity and the Middle Ages. By studying clay tablets, he discovered that the ancient Babylonians knew much more about mathematics and astronomy than had been previously realized. The National Academy of Sciences has called Neugebauer "the most original and productive scholar of the history of the exact sciences, perhaps of the history of science, of our age."
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👉 Otto Neugebauer in the context of Plimpton 322
Plimpton 322 is a Babylonian clay tablet, believed to have been written around 1800 BC, that contains a mathematical table written in cuneiform script. Each row of the table relates to a Pythagorean triple, that is, a triple of integers that satisfies the Pythagorean theorem, , the rule that equates the sum of the squares of the legs of a right triangle to the square of the hypotenuse. The era in which Plimpton 322 was written was roughly 13 to 15 centuries prior to the era in which the major Greek discoveries in geometry were made.
At the time that Otto Neugebauer and Abraham Sachs first realized the mathematical significance of the tablet in the 1940s, a few Old Babylonian tablets making use of the Pythagorean rule were already known. In addition to providing further evidence that Mesopotamian scribes knew and used the rule, Plimpton 322 strongly suggested that they had a systematic method for generating Pythagorean triples as some of the triples are very large and unlikely to have been discovered by ad hoc methods. Row 4 of the table, for example, relates to the triple (12709,13500,18541).
In this Dossier
Otto Neugebauer in the context of Abraham Sachs
Abraham (Abe) Sachs (1915 – April 22, 1983) was an American Assyriologist. He earned his PhD in Assyriology in 1939 at Johns Hopkins University.
Of note is his collaboration with Otto Neugebauer, whom he met in 1941 when the latter visited the Oriental Institute in Chicago. Neugebauer and Sachs worked jointly on the publication of Babylonian astronomical texts.
Otto Neugebauer in the context of Great Year
The term Great Year has multiple meanings. In scientific astronomy, it refers to the time required for the equinoxes to complete one full cycle around the ecliptic, a period of approximately 25,800 years. According to Ptolemy, his teacher Hipparchus discovered this phenomenon by comparing the position of the vernal equinox against the fixed stars, noting that it shifts westward by about one degree every 72 years. This means that a full cycle through all the zodiac constellations takes roughly 25,920 years. In the heliocentric model, this precession can be visualized as the Earth’s rotational axis slowly tracing a circular path around the normal to the plane of the ecliptic. Currently, Earth's axis points close to Polaris, the North Star, but due to precession, this alignment is temporary and will shift over time, returning only after one complete Great Year has passed.
By extension, the term "Great Year" can be used for any concept of eternal return in the world's mythologies or philosophies. Historian Otto Neugebauer writes: