Ray Ann Bucu The archive →

TL § 08 · THE TRANSMISSION LINE

The Model Copernicus Used

Two mathematical devices in the Copernican system appear first in Arabic astronomy three centuries earlier, and how they travelled is unresolved.

Free to read 2 min read 444 words Ray Ann Bucu · writing as R.A.999

Copernicus published On the Revolutions of the Heavenly Spheres in 1543. Its historical significance is the heliocentric arrangement. Its mathematical content includes two specific geometrical devices that were not his invention.

The first is the Tusi couple, described by Nasir al-Din al-Tusi at the Maragha observatory in the thirteenth century. It is an arrangement of two circles, one rolling inside another of twice the radius, which converts circular motion into straight-line oscillation. The second is a lunar model developed by Ibn al-Shatir in Damascus in the fourteenth century.

The correspondence is not thematic. In the 1950s Otto Neugebauer and Victor Roberts established that Copernicus's lunar model is mathematically identical to Ibn al-Shatir's, and that his use of the Tusi couple matches the Maragha construction, in some diagrams down to the lettering of the points.

The problem this creates is that no Latin translation of either author is known from the period, and Copernicus is not known to have read Arabic.

The proposed routes are several and none is settled. Byzantine Greek manuscripts carrying Maragha material circulated in Italy, and Copernicus studied at Bologna and Padua. Transmission through oral instruction or through intermediary texts not yet identified. Independent rediscovery, which is possible for the Tusi couple as a piece of geometry but strained for the identical lettering.

The historiographical response to this discovery is the part worth watching. It was not suppressed, but it has been absorbed slowly and unevenly, and general accounts of Copernicus still frequently omit it. The specialist literature has been settled on the correspondence for decades.

What is going on is not conspiracy. It is that a story has a shape, the shape is Renaissance genius breaking with medieval error, and a finding that complicates the shape has to be integrated by everyone who tells it, one textbook at a time. That is slow.

The archive's general point applies precisely here. The mechanism is not that an institution forbids the finding. It is that the finding does not fit the narrative the field uses to introduce itself, and narratives of that kind are revised at generational speed.

It is also worth stating what the finding does not do. It does not diminish Copernicus. The heliocentric arrangement is his, and the arrangement is the revolution. Using existing mathematical tools is what every scientist does, and the interesting question was never priority.

The interesting question is how a set of diagrams made in Damascus in the 1300s ended up on a Polish canon's desk in the 1500s with nobody recording the journey. That is a real gap in the record, and it is the kind of gap this archive exists to point at.

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