He was also named lecturer of geometry, endowed by his brother Marco Antonio Collina Sbaraglia.
A third brother, Bonifacio (al secolo Giuseppe) Collina was similarly educated like Abbondio, and endowed to teach philosophy in Bologna.
Among these lectures was a set of around the topic of the Invention of the Compass, published in the Acts of the Academy of the Istituto di Bologna.
Later these were collected in a monograph titled Considerazioni Istoriche sopra l'origine della Bassola nautica nell' Asia, published in quarto by the Padre Abate Trombelli in Faenza in 1748.
He died in December 1753 and left manuscript titled: Geografia Storica, a Istituzioni Nautiche and the Annali d'Italia del Muratori compilati e corretti.