George Bruce Halsted (November 25, 1853-March 16, 1922) was a mathematician who explored foundations of geometry and introduced Non-Euclidean geometry into the United States through his own work and his many important translations. Especially noteworthy were his translations and commentaries relating to non-Euclidean geometry, including works by Bolyai, Lobachevski, Saccheri, and Poincaré. He wrote an elementary geometry text, Rational Geometry, based on Hilbert's axioms, which was translated into French, German, and Japanese. November 25 is the 329th (in leap years the 330th) day of the year in the Gregorian calendar. ... 1853 was a common year starting on Saturday (see link for calendar). ... March 16 is the 75th day of the year in the Gregorian Calendar (76th in Leap years). ... 1922 (MCMXXII) was a common year starting on Sunday (see link for calendar). ... This article is in need of attention from an expert on the subject. ... Geometry (Greek γεωμετρία; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. ... Behavior of lines with a common perpendicular in each of the three types of geometry The term non-Euclidean geometry (also spelled: non-Euclidian geometry) describes both hyperbolic and elliptic geometry, which are contrasted with Euclidean geometry. ... János Bolyai (December 15, 1802–January 27, 1860) was a Hungarian mathematician. ... Giovanni Gerolamo Saccheri (September 5, 1667 - October 25, 1733) was an Italian Jesuit priest and mathematician. ... Several members of the French Poincaré family have been successful in public and scientific life: Antoni Poincaré (1829-1911), civil servant and meteorologist, father of Raymond and Lucien Henri Poincaré (1854-1912), physicist and mathematician, cousin of Antoni Raymond Poincaré (1860-1934), statesman, son of Antoni Lucien Poincaré (1862-1920...

He was a member of the University of Texas at Austin Department of Pure and Applied Mathematics (1884-1903), where he held the chair of pure and applied mathematics. He taught mathematicians R. L. Moore and L. E. Dickson among other students. He explored the foundations of geometry and introduced Non-Euclidean geometry into the United States through his own work and his many important translations. He was later at St. John's College, Annapolis; Kenyon College, Gambier, Ohio (1903-1906); and the Colorado State College of Education, Greeley (1906-1914). The University of Texas at Austin, often called UT or Texas, is the flagship institution of the University of Texas System. ... Robert Lee Moore (1882‑1974) was an American mathematician, working in the field of general topology, and known as the founder of the Texas topology school of self-reliant research. ... Leonard Eugene Dickson (22 January 1874-17 January 1954) was an American mathematician. ...

Halsted was a tutor and instructor at Princeton University. He held a mathematical fellowship while a student at Princeton. Halsted was a fourth generation Princeton graduate, earning his Bachelor's degree in 1875 and his Master's in 1878. He went on to Johns Hopkins University where he was J. J. Sylvester's first student, receiving his Ph.D. in 1879. After graduation, Halsted served as an instructor in mathematics at Princeton until beginning his post at the University of Texas at Austin in 1884. Princeton University, incorporated as The Trustees of Princeton University, located in Princeton, New Jersey, is the fourth-oldest institution to conduct higher education in the United States. ... The Johns Hopkins University is a private institution of higher learning located in Baltimore, Maryland, United States. ... James Joseph Sylvester James Joseph Sylvester (September 3, 1814 - March 15, 1897) was an English mathematician and lawyer. ...

Halsted was a member of the American Mathematical Society and served as vice president of the American Association for the Advancement of Science. The American Mathematical Society (AMS) is dedicated to the interests of mathematical research and education, which it does with various publications and conferences as well as annual monetary awards to mathematicians. ... The American Association for the Advancement of Science (AAAS) is an organization that promotes cooperation between scientists, defends scientific freedom, encourages scientific responsibility and supports scientific education for the betterment of all humanity. ...