A Year: Day to Day Men: 30th of March
Midnight Vignette
On March 30, 1796, German mathematician Carl Friedrich Gauss discovers the construction of the heptadecagon.
Carl Friedrich Gauss, the only child of poor parents, was rare among mathematicians in that he was a calculating prodigy, who retained the ability to do elaborate calculations in his head through most of his life. He was recommended by his teachers to the Duke of Brunswick in 1791 who enabled him financially to attend local schools and later to study mathematics at the University of Gottingen, Germany.
Due to his pioneering work, Gauss became the era’s preeminent mathematician, first in the German-speaking world and later became regarded as one of the greatest of all time. Gauss made many contributions to the fields of number theory, geometry, probability theory, geodesy, planetary astronomy, the theory of functions and the theory of electromagnetism.
As the number seventeen is a Fermat prime, the regular heptadecagon is a constructible polygon, that is, one that can be constructed by using a compass and an unmarked straightedge. Carl Friedrich Gauss showed this in 1796 at the age of nineteen. The significance of this lies not in the result but in the proof, which rested on the analysis of the factorization of polynomial equations. This proof represented the first progress in regular polygon construction in over two thousand years.
After Gauss’s death in 1855, the discovery of so many novel ideas among his unpublished papers extended his influence well into the remainder of the century. Acceptance of non-Euclidean geometry came with the almost simultaneous publication of Riemann’s general ideas about geometry, the Italian Eugenio Beltrami’s explicit and rigorous account of non-Euclidean geometry, and Gauss’s private notes and correspondence.