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What subjects besides law interested Pierre de Fermat during his early years?

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During his early years, in addition to his studies in law, Pierre de Fermat developed a strong interest in several other subjects. These included:

Fermat’s passion for these fields led him to follow the custom of his time by composing conjectural "restorations" of lost works from antiquity, such as his reconstruction of the Plane Loci by the Greek geometer Apollonius.1