The vacation of the university allowed him to stay at Paris but six weeks, which he employed with so much dexterity and industry, that he had searched the principal libraries, collated a great number of manuscripts and printed copies, and brought back a great treasure of curious observations.
In this visit to Paris he contracted an acquaintance, among other learned men, with the celebrated father Montfaucon; with whom he conversed, at his first interview, with no other character but that of a traveller; but, their discourse turning upon ancient learning, the stranger soon gave such proofs of his attainments, that Montfaucon declared him a very uncommon traveller, and confessed his curiosity to know his name; which he no sooner heard, than he rose from his seat, and, embracing him with the utmost ardour, expressed his satisfaction at having seen the man whose productions of various kinds he had so often praised; and, as a real proof of his regard, offered not only to procure him an immediate admission to all the libraries of Paris, but to those in remoter provinces, which are not generally open to strangers, and undertook to ease the expenses of his journey, by procuring him entertainment in all the monasteries of his order.
This favour Burman was hindered from accepting, by the necessity of returning to Utrecht at the usual time of beginning a new course of lectures, to which there was always so great a concourse of students, as much increased the dignity and fame of the university in which he taught.
He had already extended to distant parts his reputation for knowledge of ancient history, by a treatise, de Vectigalibus Populi Romani, on the revenues of the Romans; and for his skill in Greek learning, and in ancient coins, by a tract called Jupiter Fulgurator; and after his return from Paris, he published Plædrus, first with the notes of various commentators, and afterwards with his own. He printed many poems, made many orations upon different subjects, and procured an impression of the epistles of Gudius and Sanavius.
While he was thus employed, the professorships of history, eloquence, and the Greek language, became vacant at Leyden, by the death of Perizonius, which Burman's reputation incited the curators of the university to offer him upon very generous terms, and which, after some struggles with his fondness for his native place, his friends, and his colleagues, he was prevailed on to accept, finding the solicitations from Leyden warm and urgent, and his friends at Utrecht, though unwilling to be deprived of him, yet not zealous enough for the honour and advantage of their university, to endeavour to detain him by great liberality.
At his entrance upon this new professorship, which was conferred upon him in 1715, he pronounced an oration upon the duty and office of a professor of polite literature; de publici humanioris disciplinæ professoris proprio officio et munere; and showed, by the usefulness and perspicuity of his lectures, that he was not confined to speculative notions on that subject, having a very happy method of accommodating his instructions to the different abilities and attainments of his pupils.
Nor did he suffer the publick duties of this station to hinder him from promoting learning by labours of a different kind; for, besides many poems and orations, which he recited on different occasions, he wrote several prefaces to the works of others, and published many useful editions of the best Latin writers, with large collections of notes from various commentators.
He was twice rector, or chief governour of the university, and discharged that important office with equal equity and ability, and gained, by his conduct in every station, so much esteem, that when the professorship of history of the United Provinces became vacant, it was conferred on him, as an addition to his honours and revenues, which he might justly claim; and afterwards, as a proof of the continuance of their regard, and a testimony that his reputation was still increasing, they made him chief librarian, an office which was the more acceptable to him, as it united his business with his pleasure, and gave him an opportunity, at the same time, of superintending the library, and carrying on his studies.
Such was the course of his life, till, in his old age, leaving off his practice of walking, and other exercises, he began to be afflicted with the scurvy, which discovered itself by very tormenting symptoms of various kinds; sometimes disturbing his head with vertigos, sometimes causing faintness in his limbs, and sometimes attacking his legs with anguish so excruciating, that all his vigour was destroyed, and the power of walking entirely taken away, till, at length, his left foot became motionless. The violence of his pain produced irregular fevers, deprived him of rest, and entirely debilitated his whole frame.
This tormenting disease he bore, though not without some degree of impatience, yet without any unbecoming or irrational despondency, and applied himself in the intermission of his pains to seek for comfort in the duties of religion.