Lobachevsky, Bolyai, and Riemann all published their theories of non-Euclidean geometry in the second quarter of the 19th century. This was a time of sociopolitical ferment throughout Europe. Look up and identify one major political upheaval during that quarter century in each mathematician's country.

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Lobachevsky, Bolyai, and Riemann all published their theories of non-Euclidean geometry in the second quarter of the 19th century. This was a time of sociopolitical ferment throughout Europe. Look up and identify one major political upheaval during that quarter century in each mathematician's country.

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