Most of the entries consist of a brief and sometimes cryptic statement of a result in Latin.
Entry 1, dated 1796, March 30, states "Шаблон:Lang", which records Gauss's discovery of the construction of a heptadecagon by ruler and compass.
Entry 18, dated 1796, July 10, states "ΕΥΡΗΚΑ! Шаблон:Nowrap" and records his discovery of a proof that any number is the sum of 3 triangular numbers, a special case of the Fermat polygonal number theorem.
Entry 43, dated 1796, October 21, states "Vicimus GEGAN" (We have conquered GEGAN). The meaning of this was a mystery for many years. Шаблон:Harvtxt found a manuscript by Gauss suggesting that GEGAN is a reversal of the acronym NAGEG standing for Nexum medii Arithmetico-Geometricum Expectationibus Generalibus and refers to the connection between the arithmetic geometric mean and elliptic functions.
Entry 146, dated 1814 July 9, is the last entry, and records an observation relating biquadratic residues and the lemniscate functions, later proved by Gauss and by Шаблон:Harvtxt. More precisely, Gauss observed that if a+bi is a (Gaussian) prime and a–1+bi is divisible by 2+2i, then the number of solutions to the congruence 1=xx+yy+xxyy (mod a+bi), including x=∞, y=±i and x=±i, y=∞, is (a–1)2+b2.
