While maintaining opposing position about how geometry should be studied , Hamilton always remained on the best terms with Cayley .
William Rowan Hamilton ( 1805 -- 1865 ) , Irish physicist , astronomer , and mathematician , first foreign member of the American National Academy of Sciences .
While maintaining opposing position about how geometry should be studied , member always remained on the best terms with Cayley .
William Rowan Hamilton ( 1805 -- 1865 ) , Irish physicist , astronomer , and mathematician , first foreign member of the American National Academy of Sciences .