In history, not to mention the voluminous James Sirmond, whose researches among original sources were made before the sixteenth century had closed, Father Denis Petau (Petavius), early in the following century, composed his great work on Chronology, laying down the exact basis in this respect for Universal History, both sacred and profane.[169] Geneva and Holland alike reproduced the work. Labbe's publications on ancient and modern History and Chronology, the greater part of his eighty works being upon these subjects, with several abridgments and geographical adjuncts; Father Buffier's "Practical History," which was published for the schools in 1701, and then rapidly went through divers editions, to be supplemented in 1715 by his "Universal Geography," his treatise on the Globe and his Maps, all of which went through some scores of French, Italian and Dutch editions; these and other works of the kind indicate the line of pedagogical development going on at the same time in the various colleges. Hence, the "New Elements of History and Geography for the use of the Scholars of the Collège Louis-le-Grand," which was an abridgment of Buffier's book, could say, with some propriety, on its first page: "How great has been the carelessness of an age, otherwise so judicious and cultivated as ours, in not having as yet made the science of History and Geography an essential part of the education of youth? The public and posterity will perhaps be grateful to the College of Louis-le-Grand, for having shown in this regard an example, which ought to do honor to our time."[170] Thus the same resources were at the service of Jesuit education as, in the general literary world, helped to form the Jesuit historians: Mariana, historian of Spain; Damian Strada, of the War in the Netherlands; Balbin, of Bohemia; Naruszewicz, of Poland; Katona, of the Kings of Hungary; Damberger, of the Middle Ages; Francis Wagner, of Leopold I; G. Daniel, historiographer royal of France.

Geography is not to be separated from History. Up to the end of the sixteenth century, Ptolemy's Geography, corrected, modified, altered, according to the reports of navigators, had been the scientific standard, but uncertain, vacillating, and self-contradictory. From the earlier part of the seventeenth century, the astronomical observations, sent from the far East by the Jesuit missionaries, emphasized the need of a general reform, already sufficiently evident. Father Riccioli, assisted by Father Grimaldi, who is known in science as one of the precursors of Newton, undertook, in his Geographia Reformata, the reform of Geography by means of Astronomy.[171] For this purpose, he created first his own metrology, identifying, and reducing to a common denomination, all the measures received in reports from different parts of the earth. The first eclipse of the moon which he makes mention of, among his astronomical reports, had been observed on the night of November 8, 1612, by Father Scheiner at Ingolstadt and by Father Charles Spinola at Nangasaki in Japan. At the time that Riccioli was writing, the Jesuit missionaries had multiplied in China. Adam Schall died in 1666, holding the post of President of the Mathematical Tribunal at Pekin; he was followed by Ferdinand Verbiest; and then a long line of imperial astronomers of the Celestial Empire, Koegler, Hallerstein, Seixas, Francesco, De Rocha, Espinha, continued to send their reports, either to the colleges of their respective Provinces, or to other mathematical centres, or to the learned societies in Europe, whereof not a few Jesuits were members. Meanwhile, scientific returns from Hindustan, Siam, Thibet, on one side of the globe, and from San Domingo on the other side, poured into the Collège Louis-le-Grand, and made of this educational centre an indispensable auxiliary to the Bureau of Longitudes. All this, reacting on education, was received with satisfaction by the general world, and drew the pedagogic bodies steadily, though with some difficulty, on the line of progress. The University of Paris was quite tardy in following up the steps of the Jesuits.[172]

As to Mathematics in education, it is evident that a similar process of development must have been the history of this branch, with the limitation however, that mathematical science has not been so nearly created anew within these last centuries, as some other departments. Father Christopher Clavius, "the Euclid of his time," was engaged by Gregory XIII in reforming the Calendar, the same which we use to-day; he died in 1612. His death intervening, while his complete works were being republished, Father Ziegler superintended the new edition, till it was finished in five tomes. Francis Coster, at Cologne, Hurtado Perez, at Ingolstadt, Henry Garnet, an Englishman, and Grienberger, successor of Clavius, both at Rome, belonged, with other mathematicans of the Order, to the sixteenth century. The writers of the preliminary Ratio, 1586, require that, in a brief course of Mathematics, "Euclid's Elements" "be seasoned always with some application to Geography or the Sphere"; then, in the following year, the rest of Father Clavius' "Epitome of Practical Arithmetic"[173] is to be finished;[174] and special courses are provided for members of the Order, who give promise of eminence.[175]

Indeed, whether as Professors of officers for the army and navy, or as constructing and directing observatories, the members pursued every branch of Mathematics, pure and applied. Father L'Hoste's "Treatise on Naval Evolutions" was used in the French navy, as "the Book of the Jesuit."[176] Of this book the Count de Maistre writes quaintly in 1820: "An English Admiral assured me less than ten years ago, that he had received his first instructions in the 'Book of the Jesuit.' If events are taken for results, there is not a better book in the world!"[177] Eximeno, at the school of Segovia, instructed young nobles in Mathematics and the science of Artillery. And so, in general, courses were provided, according as the needs of respective localities required. The Republic of Venice struck a gold medal in honor of Vincent Riccolati, the Jesuit engineer, just as the King of Denmark honors De Vico, the astronomer, with a gold medal struck in his honor, and having the words inscribed, "Comet Seen, Jan. 24, 1846."[178]

Kircher, Boscovich, Pianciani, Secchi, Perry, honored with the fellowship of so many learned and scientific Academies, and exercising a distinct influence to-day, either by the far-reaching effects of their researches, or by their actual contact with science, may be looked upon as belonging to our most recent times.[179]

It is remarked that to the Order was due the multiplication of observatories, in the middle of last century. Father Huberti superintended the building of an observatory at Würzburg; Father Maximilian Hell, the court astronomer, built one at Vienna. At Manheim, a third was erected by Mayer and Metzger; at Tyrnau, one by Keri; at Prague, another by Steppling; one at the Jesuit College of Gratz; similarly at Wilna, Milan, Florence, Parma, Venice, Brescia, Rome, Lisbon, Marseilles, Bonfa. In short, Montucla remarks: "In Germany and the neighboring countries, there were few Jesuit colleges without an observatory. They were to be found at Ingolstadt, Gratz, Breslau, Olmütz, Prague, Posen, etc. Most of them seem to have shared the fate of the Society; though there are a few which survive the general destruction."[180]

These few indications go to illustrate the pedagogical epochs made by the system of the Order. And the young member, who is being formed to contribute his own share towards carrying on the education of the world, passes all these branches under review. One of them, Mathematics, is conducted outside of the philological seminary, which we have so far been considering; it is left for his course of Philosophy, which he will pursue during three years, before actually embarking on the life of the class-room, or his "regency." We may now suppose that the time has arrived for his entering the class-room, as a Master of Grammar and Elementary Literature.

When he does so, he has possessed himself, in that philosophical triennium, of positive intellectual attainments, neither meagre nor common. He has surveyed the whole field of natural thought and investigation, in the various branches, mental, physical, and ethical. To enumerate them, there is Logic, including dialectics, and the criteria, objective and subjective, of truth; Ontology, or general metaphysics; Special Metaphysics, in its three divisions:—Cosmology, which immediately underlies physics, chemistry, and biology; Psychology, which underlies all the anthropological sciences about the human compound, its principles, and the formation of its ideas; Natural Theology. All this is theoretic or speculative philosophy. There is besides the science of moral life, which comprises Ethics, Natural Right, and Social Right. Concurrent with Philosophy, there has been a double course of Physics and Chemistry, during one year, with a course of higher Mathematics, varying from one year to three; as well as a half-year's course of Geology, Astronomy, and some other subsidiary matters. This is the general formation. The principle which guides individual cases was laid down by Ignatius in these terms: "In the superior faculties, on account of the great inequality of talents and age and other considerations, the Rector of the University will consider how much in each line individuals shall learn, and how long they shall stay in the courses; although it is better for those who are of the proper age, and who have the requisite facility in point of talent, that they should endeavor to advance and become conspicuous in all."[181] During all this course of higher natural sciences, some attention has still been paid to accessories; literature has not been entirely neglected; oratory has been practised, and poems presented on stated occasions. And then the new Master is introduced into his course of "regency."