Georg Joachim Rheticus(1514 — 1574)

Georg Joachim Rheticus

Saint-Empire romain germanique

6 min read

SciencesMathématicien(ne)AstronomeRenaissanceSixteenth-century European Renaissance, the period of the Copernican revolution and the revival of the mathematical sciences

Austrian mathematician and astronomer of the Renaissance. Copernicus's only disciple, he published the Narratio prima in 1540, the first printed account of the heliocentric system, and persuaded his master to publish De revolutionibus.

Frequently asked questions

The key thing to remember is that Rheticus was the only disciple of Nicolaus Copernicus and the herald of the heliocentric system. In 1540, he published the Narratio prima, the first printed account of the idea that the Earth revolves around the Sun, then he persuaded Copernicus to publish his masterpiece, the De revolutionibus, in 1543. Without him, the Copernican revolution might have taken decades to emerge. An Austrian mathematician and astronomer of the Renaissance, he was also a pioneer of trigonometry, producing tables of unprecedented accuracy.

Key Facts

  • Born in 1514 in Feldkirch (Austria), died in 1574 in Kassa
  • Became a professor of mathematics at the University of Wittenberg in 1536
  • Joined Copernicus in Frombork in 1539 and became his only student
  • Published the Narratio prima in 1540, the first printed presentation of the heliocentric system
  • Considerable work in trigonometry: tables of the six trigonometric functions (Opus Palatinum, posthumous)

Works & Achievements

Narratio prima (1540)

First printed account of Copernicus's heliocentric system, written in the form of a letter. It made the new astronomy known even before the publication of his master's great book.

Supervision of the printing of De revolutionibus orbium coelestium (1543)

Rheticus convinced Copernicus to publish and organized the printing in Nuremberg of the founding work of modern astronomy.

De lateribus et angulis triangulorum (1542)

Treatise on trigonometry drawn from Copernicus's work, one of the first to present these tables separately from astronomy.

Canon doctrinae triangulorum (1551)

Tables of the six trigonometric functions, a pioneering work for the calculations of mathematicians and astronomers.

Opus palatinum de triangulis (1596)

Monumental trigonometric tables calculated with unprecedented precision, completed and published after his death by his student Valentin Otho.

Ephemerides (astronomical ephemerides) (1550)

Tables of the positions of celestial bodies calculated according to the Copernican system, among the first to put heliocentrism into concrete practice.

Anecdotes

In 1539, the young Rheticus, a professor of mathematics at Wittenberg, left his Protestant post to go study with Nicolaus Copernicus, a Catholic canon in Frombork, Prussia. For a Lutheran, this journey to a Church astronomer was a bold move: he stayed there for nearly two years and became the only true disciple of the aging scholar.

In 1540, Rheticus published the *Narratio prima*, an open letter that presented to the public, for the first time in print, the system in which the Earth revolves around the Sun. Copernicus still did not dare publish his great book; it was the enthusiasm of his young student that finally convinced him to allow the *De revolutionibus* to be printed.

Rheticus never used his real family name: his father, a physician, had been convicted and executed for fraud, and the family lost the right to bear his name. The young Georg Joachim then took the name “Rheticus,” after Rhaetia, the Alpine region he came from.

Rheticus devoted much of his life to calculating immense trigonometric tables, with values of sine and cosine for every ten seconds of arc. This colossal work, the *Opus palatinum*, was so vast that it was not completed and published until 1596, more than twenty years after his death, by his student Valentin Otho.

Toward the end of his life, Rheticus settled in Hungary and then in Poland, and also took an interest in medicine, chemistry, and even astrology. Curious about everything, he remained above all faithful to the memory of Copernicus, whose work he had carried to the scholarly world of Europe.

Primary Sources

Narratio prima (First Account) (1540)
My teacher has written a work in six books in which, in imitation of Ptolemy, he has encompassed the whole of astronomy, demonstrating each point through mathematics and the geometric method.
De revolutionibus orbium coelestium (preface to Pope Paul III, whose printing Rheticus arranged) (1543)
I can easily imagine, Most Holy Father, that as soon as it becomes known that I attribute motion to the Earth, certain people will cry out that I ought to be condemned.
Opus palatinum de triangulis (Rheticus's trigonometric tables, published posthumously) (1596)
Tables of sines, tangents, and secants calculated for every interval of ten seconds of the quadrant.

Key Places

Feldkirch (Austria)

Rheticus's birthplace, in Vorarlberg, at the foot of the Alps. It was from neighbouring Rhaetia that he took his nickname.

Wittenberg (Germany)

The university that was the cradle of the Reformation, where Rheticus studied and then taught mathematics and astronomy.

Frombork (Frauenburg, Poland)

The cathedral town where Copernicus lived; Rheticus stayed there for nearly two years as his only disciple.

Nuremberg (Germany)

The printing town where Rheticus arranged the publication of Copernicus's *De revolutionibus*.

Kraków (Poland)

The city where Rheticus settled for many years, practising medicine and pursuing his scientific work.

Kassa (Košice, present-day Slovakia)

A town in Royal Hungary where Rheticus died in 1574.

See also