Harte, the son of a solicitor, was born in the county of Limerick, Ireland in 1790.
He earned his BA in 1811 (and MA in 1823), and served as the Donegall Lecturer in Mathematics from 1827 to 1832.
[1] In 1831 Harte accepted the college living of Cappagh, diocese of Derry, co. Tyrone.
He died on Sunday, 5 April 1848, having preached on the same day in his church, where he was also buried.
Harte was the author of a translation of Laplace's Système du Monde, to which work he added 'Mathematical Proofs and Explanatory Remarks,' Dublin, 1830.