But the activity of an inquisitive and penetrating mind is not to be so easily restrained. As, from respect to his father's authority, however, the youth had so far regarded his prohibition as to pursue this study only in private, and at his hours of recreation, he went on for some time undiscovered. But one day, while he was employed in this manner, his father accidentally came into the room, unobserved by Pascal, who was wholly intent on the subject of his investigation. His father stood for some time unperceived, and observed, with the greatest astonishment, that his son was surrounded with geometrical figures, and was then actually employed in finding out the proportion of the angles formed by a triangle, one side of which is produced; which is the subject of the thirty-second proposition in the First Book of Euclid.
The father at length asked his son what he was doing. The latter, surprised and confused to find his father was there, told him he wanted to find out this and that, mentioning the different parts contained in that theorem. His father then asked how he came to inquire about that. He replied, that he had found out such a thing, naming some of the more simple problems; and thus, in reply to different questions, he showed that he had gone on his own investigations, totally unassisted, from the most simple definition in geometry, to Euclid's thirty-second proposition. This, it must be remembered, was when Pascal was but twelve years of age.
His subsequent progress perfectly accorded with this extraordinary display of talent. His father now gave him Euclid's Elements to peruse at his hours of recreation. He read them, and understood them, without any assistance. His progress was so rapid that he was soon admitted to the meetings of a society of which his father, Roberval, and some other celebrated mathematicians were members, and from which afterwards originated the Royal Academy of Sciences, at Paris.
During Pascal's residence with his father at Rouen, and while he was only in his nineteenth year, he invented his famous arithmetical machine, by which all numerical calculations, however complex, can be made by the mechanical operation of its different parts, without any arithmetical skill in the person who uses it. He had a patent for this invention in 1649. His studies, however, began to be interrupted when he reached his eighteenth year by some symptoms of ill health, which were thought to be the effect of intense application, and which never afterwards entirely quitted him; so that he was sometimes accustomed to say, that from the time he was eighteen, he had never passed a day without pain. But Pascal, though out of health, was still Pascal; ever active, ever inquiring, and satisfied only with that for which an adequate reason could be assigned. Having heard of the experiments instituted by Torricelli, to find out the cause of the rise of water in fountains and pumps, and of the mercury in the barometer, he was induced to repeat them, and to make others, to satisfy himself upon the subject.
In 1654, he invented his arithmetical triangle, for the solution of problems respecting the combinations of stakes, in unfinished games of hazard; and long after that, he wrote his Demonstrations of the Problems relating to the Cycloid; besides several pieces on other subjects in the higher branches of the mathematics, for which his genius was probably most fitted. Pascal, though not rich, was independent in his circumstances; and as his peculiar talents, his former habits, and the state of his health, all called for retirement, he adopted a secluded mode of life. From 1655, he associated only with a few friends of the same religious opinions with himself, and lived for the most part in privacy in the society of Port Royal.
At this period, the Catholics being divided into Jesuits and Jansenists, Pascal, being of the latter, published his famous Provincial Letters. These are so distinguished for their admirable wit, their keen argument, and their exquisite beauty of style, as to have even extorted praise from Voltaire and D'Alembert. He also wrote other pieces against the Jesuits, marked with great talent.
Pascal's health, however, continued to decline; and it is probable that his mind suffered in consequence. Though his life had been singularly blameless, still he seemed to be pained with a sense of inward sin. He was accustomed to wear an iron belt around his waist, in which were sharp points, upon which he would strike his elbows, or his arms, when any unholy passion crossed his mind. He continued to practise charity toward all mankind, and severe austerities to himself, until at last he was attacked with sickness, and on the 19th of August, 1662, he died. His last words were, "May God never forsake me!"
The latter part of his life was wholly spent in religious meditations, though he committed to paper such pious thoughts as occurred to him. These were published after his death, under the title of "Thoughts on Religion and other Subjects." They have been greatly admired for their depth, eloquence and Christian spirit.
GROTIUS
Hugo Grotius, celebrated for his early display of genius and learning, as well as for his adventures and writings in after life, was born at Delft, in Holland, April 10, 1583. He had the best masters to direct his education, and from childhood, was not only distinguished by the great brilliancy of his mind, but also by his application to study. Such was his progress, that, at eight years of age, he composed Latin elegiac verses of great cleverness, and at fourteen, he maintained public theses in mathematics, law, and philosophy with general applause. His reputation by this time was established, and he was mentioned by the principal scholars of the age, as a prodigy of learning, and as destined to make a conspicuous figure in the republic of letters.
In 1598, he accompanied Barnevelt, ambassador extraordinary of the Dutch Republic, in a journey to France, where he was introduced to Henry IV., who was so pleased with his learning, that he presented him with his picture and a gold chain. While in France, he took the degree of doctor of laws. The following year he commenced practice as an advocate, and pleaded his first cause at Delft. In the same year, though then only seventeen, he was chosen historiographer to the United Provinces, in preference to several learned men who were candidates for that office.
Grotius now rapidly rose in rank and reputation: he published several works of great merit, and was appointed to various public offices of high trust. On one occasion he was sent by the government to England to attend to some negotiations, at which time he became acquainted with King James II. But serious religious difficulties now began to agitate Holland. In 1618, a synod met at Dort to take these into consideration. They proceeded to condemn the Arminian doctrines, and to banish all the preachers who upheld them. Barnevelt, who was a celebrated statesman, Grotius, and Hoogurbetz, advocated these sentiments; they were tried and condemned; the first was executed and the two others were sentenced to perpetual imprisonment.
In his prison of Louvestien, Grotius found consolation in literary pursuits. His wife, after much entreaty, was permitted to visit him, and she did everything which the most devoted affection could suggest, to alleviate his confinement. She was accustomed to send him books in the chest which was conveyed out and in, with his linen: this was carefully examined by the jailer, for a time, but finding nothing amiss, he became less suspicious and careful.
Taking notice of this, the wife of Grotius, after he had been confined about two years, devised a scheme for his escape. She pretended to have a large quantity of books to send away. Having a small chest of drawers, about three feet and a half long, she packed her husband into it, and it was carried out by two soldiers, who supposed they were transporting a quantity of books. The chest was now put on a horse, and carried to Gorcum, where the illustrious prisoner was set at liberty.
Disguised in the dress of a mason, with a rule and a trowel in his hand, he fled to Antwerp, which was not under the government of the Stadtholder, Prince Maurice, who had caused his imprisonment. Here he wrote to the State's General of Holland, asserting his innocence of any wrong, in the course he had taken, and for which he had been deprived of liberty. He afterwards went to Paris, where he received a pension from the king.
After the death of Prince Maurice, his confiscated property and estates were restored, and he returned to Holland; but he still found such a spirit of rancor against him, among