Saladini was one of the brightest pupils of the Italian mathematician Vincenzo Riccati, with whom he had a fruitful collaboration: together they wrote the Institutiones analyticae, an extensive treatise on mathematical analysis published in three volumes in Bologna in 1765–1767. In 1775, Saladini published an Italian translation of the work.[2][3][verification needed]
In a memoir written by himself and dated 1808, entitled Sul principio delle velocità virtuali ("On the principle of virtual speeds"),[4] starting from the work carried out by the mathematicians Vittorio Fossombroni and Vincenzo Angiulli, he tried to prove the Principle of Virtual Work by trying to avoid the main difficulties, including the presence of constraints.