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Jnos Bolyai Back in 19th century two extremely intelligent mathematicians the Hungarian Jnos Bolyai and the Russian Nicolai Lobechevsky showed that one could throw out Euclids parallel postulate and come up with a weird yet consistent form of geometry Jnos Bolyai was a great man that helped further the exploration of geometry and math Jnos was born on December 15 1802 in Kolozsvr Hungary This place is now referred to as Cluj Romania His father was known as Farkas Bolyai Jnos was considered a genius in many ways For example by the age of 13 he had mastered calculus and other forms of analytical mechanics He also became a renowned violinist that performed in Vienna He studied at the Royal Engineering College in Vienna for four years After that he joined the army engineering corps in which he spent 11 years Soon after he finished his studies at the Royal Engineering College Jnos was the best swordsman and dancer in the Austro-Hungarian Army These accomplishments made Jnos a well known success Jnos was not only a genius but he was a perfectionist as well He never smoked or drank That included alcohol or coffee He was also fluent in nine foreign languages that included Chinese and Tibetan His main accomplishment was that he prepared a treatise on a complete system of non-Euclidean geometry In addition to his work in geometry Bolyai made a geometric concept of complex numbers as ordered pairs of real numbers Jnos called his geometry imaginary in order to distinguish it from the usual Euclidean geometry These new types of geometry were unheard of They were just too bizarre for people do understand and people just didnt accept them Before his work was published though Bolyai discovered that another mathematician named Karl Friedrich Gauss had already figured out much of his work This was a severe blow to him and it stuttered his reaction for publishing Bolyais father however went ahead and
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