I returned to Mitau quite delighted at having made myself useful, and at having discovered in myself a talent which I had never suspected.
It might perhaps be insisted with some plausibility under other circumstances, that he ran along the coast, believing that it was a new land, and therefore made the representation of having discovered it in good faith.
Mahamed, having discovered my knowledge of a few words of his native tongue and my acquaintance with his native country, followed me about like a shadow.
The soldiers in the adjoining carriage, having discovered that a communicating door between our two carriages was open, came in to keep me company.
After many years, having discovered that he still retained his mediocrity, he could never pardon the presence of that preternatural being whom the world considered a GREAT MAN.
His first misfortune was that of having an anti-poetical parent; his next was that of having discovered a spot which confirmed his poetical habits, inspiring all the melancholy and sensibility he loved to indulge.
On the 6th he came to a harbour which he called St Nicholas, at the western extremity of Hispaniola, having discovered it on the day of that Saint.
The above list will hopefully provide you with a few useful examples demonstrating the appropriate usage of "having discovered" in a variety of sentences. We hope that you will now be able to make sentences using this group of words.