Vincenzo Riccati

Vincenzo Riccati was the brother of Giordano Riccati, and the second son of Jacopo Riccati.[1] He entered the Society of Jesus on December 20, 1726.[2] He taught belles lettres in the colleges of the Order in Piacenza (1728), Padua (1729), and Parma (1734). He then went to Rome to study theology. In 1739 he was assigned to the Collegio di San Francesco Saverio of Bologna, where he taught mathematics for thirty years. He was among the first members of the Italian National Academy of Sciences.

Riccati's main research continued the work of his father in mathematical analysis, especially in the fields of the differential equations and physics.

In 1757 he published the first volume of Opusculorum ad res physicas et mathematicas pertinentium introducing hyperbolic functions, the second volume appearing in 1762. In collaboration with Hieronymo Saldino he contributed to Institutiones Analyticae, volume one in 1765, volume two in 1767.[3]

De usu motus tractorii in constructione aequationum differentialium (1752)

• Delle forze vive e dell'azioni delle forze morte. Bologna: Lelio dalla Volpe. 1749. Retrieved 15 June 2015.

• De usu motus tractorii in constructione aequationum differentialium (in Latin). Bologna: ex typographia Laelii a Vulpe. 1752. Retrieved 15 June 2015.

• Lettera di un cittadino romano al padre Tommaso Gabrini. S.l.: sn. 1753. Retrieved 15 June 2015.

• De seriebus recipientibus summam generalem algebraicam aut exponentialem commentarius (in Latin). Bologna: Costantino Pisarri, Giacomo Filippo Primodi. 1756. Retrieved 15 June 2015.

• Opusculorum ad res physicas et mathematicas pertinentium. 2 (in Latin). Bologna: Lelio Dalla Volpe. 1762. Retrieved 15 June 2015.

• Vincenzo Riccati; Girolamo Saladini (1765). Insitutiones analyticae (tre tomi) (in Latin). Bologna: Stamperia di S. Tommaso d'Aquino.

• De' principj della meccanica. Venezia: Sebastiano Coleti. 1772. Retrieved 15 June 2015.

• Dialogo, dove ne' congressi di più giornate delle forze vive e dell'azioni delle forze morte si tien discorso, Bologna, 1749

• Girolamo Saladini
• List of Roman Catholic scientist-clerics

• Danilo Capecchi (2012). History of Virtual Work Laws: A History of Mechanics Prospective. Springer. ISBN 9788847020566.

• Natucci, A. (2008) [1970-80]. "Riccati, Vincenzo". Complete Dictionary of Scientific Biography. Encyclopedia.com.
• O'Connor, John J.; Robertson, Edmund F., "Vincenzo Riccati", MacTutor History of Mathematics archive, University of St Andrews.