BROCARD, Henri. Nouvelles propriétés du triangle.
Paris: Secrétariat de l'Association Française pour l’Avancement des Sciences, 1883. First edition, offprint issue.

"Brocard received his early education at the lycée of Marseilles, and the lycée and academy of Strasbourg. He attended the École Polytechnique from 1865 to 1867, and then joined the Corps of Engineers of the French army. It is known that he was a prisoner of war at Sedan in 1870, but for the most part his army career was devoted to teaching and research rather than to active combat. He became a life member of the newly organized Société Mathématique de France in 1873, and in 1875 he was made a life member of the Association Française pour l’Avancement des Sciences and of the Société Météorologique de France. For several years after 1874 he was assigned to service in north Africa, chiefly in Algiers and Oran. He was a co-founder of the Meteorological Institute at Algiers.As a member of the local committee for the tenth session of the Association Française pour l’Avancement des Sciences, which met in Algiers in 1881, he presented a paper entitled 'Étude d’un nouveau cercle du plan du triangle.' It was in this paper that he announced the discovery of the circle that is now known by his name. In 1884 he returned to Montpellier, where he had taught for a short time after his graduation from the École Polytechnique." (D.S.B., Vol 2, p.478). In this paper Brocard summarizes the results made by him and many others, since his 1881 paper, on the properties of the Brocard points, the Brocard circle, and the Brocard triangle. His contemporary the mathematician Nathan Court wrote that he, along with Émile Lemoine and Joseph Neuberg, was one of the three co-founders of modern triangle geometry. Rare: WorldCat lists just sic copies; four in France and two in Germany.

8vo: 234 x 154 mm. Original printed wrappers (chipped at extremities). Provenance: From the Turner Collection of the History of Mathematics at the University of Keele, bookplate to verso of front cover. 11 pp. and 1 large folded lithographed plate.