finding
The French word 'trouvant' is the present participle of the verb 'trouver', which means 'to find'. It can be used in various contexts such as finding an object, a place or coming to a realization. Just like in English, the finding/trouvant can be used not just in the literal sense, but also figuratively. For example, 'Je suis en train de trouver une solution' means 'I am finding a solution'.
I remember finding it while finding my old notebook.
This sentence uses 'trouvant' in the context of remembering something. It's expressing the experience of finding something while in the process of finding something else.
In finding the way, I realized I had forgotten the map.
This example uses 'trouvant' to explain an instance of realization. It describes the situation where the speaker found the way on their own, but realized they had forgotten the map.
He solved the problem by finding a new method.
This sentence refers to someone else, using 'trouvant' to describe the process in which the person solved a problem. It highlights how finding a new method resulted in the resolution of a problem.