1802 – He was born in Kolozsvár, Transylvania, on the 15th of December the son of a well-known mathematician, Farkas Bolyai. He was known for his work in non-Euclidean geometry.
1815 – At the age of 13, he had mastered calculus and other forms of analytical mechanics.
1818 – He studied at the Royal Engineering College in Vienna.
1820 – He prepared a treatise on a complete system of non-Euclidean geometry.
1823 – He developed non-Euclidean geometry independently of Nikolai Lobachevsky.
1832 – His work was published as an appendix to a mathematics textbook by his father.
1860 – János Bolyai died on the 27th of January.