“For he had always an admirable perspicacity in discerning what was false; and it may be said that in everything and always truth was the sole object of his mind. From his childhood he could only yield to what seemed to him evidently true; and when others spoke of good reasons, he tried to find them for himself. He never quitted a subject until he had found some explanation which satisfied him.”

Once, among other occasions, he was so interested in the fact that the sound emitted by a plate lying on a table when struck, suddenly ceased on the plate being touched by the hand, that he made an inquiry into sound in general, and drew so many conclusions that he embodied them in a “well-reasoned” treatise. At this time he was only twelve years of age.

At the same age he gave still more astonishing evidence of his precocious scientific capacities. His father,

perceiving his strong scientific bent, and desirous that he should first of all acquaint himself with languages before the absorption of the severer, but more engrossing, study seized him, had withdrawn from his sight all mathematical books, and carefully avoided the subject in the presence of his son when his friends were present. This, as might be expected, only quickened the curiosity of the boy, who frequently begged his father to teach him mathematics, and the father promised to do so as a reward when he knew Latin and Greek, which he was then learning. Piqued by this resistance, the boy asked one day, “What mathematical science was, and of what it treated?” He was told that its aim was to make figures correctly, and to find their right relations or proportions to one another. He began, says his sister, to meditate during his play-hours on the information thus communicated to him.

“And being alone in a room where he was accustomed to amuse himself, he took a piece of charcoal and drew figures upon the boards, trying, for example, to make a circle perfectly round, a triangle of which the sides and angles were equal, and similar figures. He succeeded in his task, and then endeavoured to determine the proportion of the figures, although so careful had his father been in hiding from him all knowledge of the kind, that he did not even know the names of the figures. He made names for himself, then definitions, then axioms, and finally demonstrations; and in this way had pushed his researches as far as the thirty-second proposition of the first book of Euclid.” [10]

At this point a ‘surprise’ visit of his father arrested him in his task, although so absorbed was he in it, that

he did not at first recognise his father’s presence. The older Pascal, having satisfied himself of the astonishing achievement which the youthful mathematician had worked out for himself in solitude, ran with tears of joy to communicate the fact to his friend M. le Pailleur. It was agreed betwixt them that such an aptitude for science should no longer be balked, and the lad was furnished with the means of pursuing his mathematical studies. Before he had completed his sixteenth year he had written the famous treatise on Conic Sections which excited the “mingled incredulity and astonishment” of Descartes. [11]

The happiness of Pascal’s home was suddenly interrupted by an unforeseen calamity. On coming to Paris, his father had invested his savings in bonds upon the Hotel de Ville. The Government, impoverished by wars and extravagance, reduced the value of these revenues, with the result of creating discontent and calling forth expostulation from the disappointed annuitants. Some of them met together, and, among others, Étienne Pascal, and gave such vent to their feelings as to alarm the Government. Richelieu took summary means of asserting his authority and silencing the disturbers. The meeting was denounced as seditious, and a warrant issued to arrest the offenders and throw them into the Bastille. Étienne Pascal, having become apprised of the hostile designs of the Cardinal, contrived to conceal himself at first in Paris, and afterwards took refuge in the solitude of his native district. His children were left without his care, and plunged in the greatest sorrow. At intervals, indeed, he contrived to see them in secret,

and is said even to have nursed Jacqueline through a severe attack of the smallpox, which impaired her hitherto remarkable beauty. But all the pleasant companionship which he had enjoyed as their instructor, and the centre of a group of intellectual friends, was at an end. He could only visit his home by stealth.

At this crisis (February 1639) Richelieu took a fancy to have Scudéry’s tragi-comedy of “L’Amour Tyrannique” acted before him by young girls. The Court lady who undertook the management of the piece appealed to Jacqueline Pascal, whose accomplishments as a girl-actor were well known, to assist in its performance. She was then thirteen years of age. The elder sister, who, in the enforced absence of the father, was acting as the head of the family, replied, with feeling, that “they did not owe any favour to M. le Cardinal, who had not acted kindly towards them.” The request, however, was pressed, in the hope that some good might come out of the affair to the family, and Jacqueline was allowed to appear. The result was all that could be anticipated. The Cardinal, charmed by the grace and accomplishment of her acting, received her cordially when she ventured to approach him with a petition on behalf of her father, thrown into a form of verses similar to many which she had already composed. The verses have been preserved with her other pieces, and have been thus rendered:—[12]