BRIOUDE, an arrondissement in the department of the Upper Loire, in France, extending over 706 square miles, and containing eight cantons and 118 communes, with a population of 76,374 persons. The capital is the city of the same name, on the left bank of the river Allier, with 5486 inhabitants. Long. 3. 15. E. Lat. 45. 14. N.