He was born in the village of Neuville near Beauvais, in Picardy. His parents could only afford to send him to a small school in the village, but he picked up some Latin from the friars of a neighbouring convent, who brought him under the notice of the bishop of Beauvais. By his kindness Baillet received a thorough education at the theological seminary, and was afterwards appointed to a post as teacher in the college of Beauvais. In 1676 he was ordained priest and was presented to a small vicarage.
He accepted in 1680 the appointment of librarian to François-Chrétien de Lamoignon, advocate-general to the parlement of Paris. He made a catalogue raisonné (in 35 vols.) of its library, all written with his own hand.
Of his numerous works the following are the most conspicuous:
- Histoire de Hollande depuis la trève de ióop Jusqu’d 1690 (4 vols. 1693), a continuation of Grotius, and published under the name of La Neuville
- Les Vies des saints (4 vols. 1701)
- Des Satires personelles, traité historique et critique de celles qui portent le litre d’Anti (2 vols. 1689)
- La vie de monsieur Descartes (2 vols. 1691; modern edition in one volume: La vie de monsieur Descartes, Paris: Éditions des Malassis, 2012)
- La vie de mr. Des-Cartes. Réduite en abregé (1692; modern edition: Vie de Monsieur Descartes, Paris, La Table Ronde, 1992)
- Auteurs déguisés sous des noms étrangers, empruntes, &c. (1690)
- Jugemens des savans sur les principaux ouvrages des auteurs (9 vols. 1685—1686).
The last is the most celebrated and useful of all his works. At the time of his death he was engaged on a Dictionnaire universelle ecclésiastique. The praise bestowed on the Jansenists in the Jugemens des savans brought down on Baillet the hatred of the Jesuits, and his Vie des saints, in which he brought his critical mind to bear on the question of miracles, caused some scandal. His Vie de Descartes is a mine of information on the philosopher and his work, derived from numerous unimpeachable authorities.
- One or more of the preceding sentences incorporates text from a publication now in the public domain: Chisholm, Hugh, ed. (1911). "Baillet, Adrien". Encyclopædia Britannica. 3 (11th ed.). Cambridge University Press. p. 219. The article contains this footnote: See the edition by M. de la Monnoye of the Jugemens des savans (Amsterdam, 4 vols. 1722), which contains the Anti-Baillet of Gilles Ménage, and an Abrégé de la vie de Mr Baillet.
- La vie de monsieur Descartes, vol. I, pp. 81-86.