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Updated: May 25, 2025
He declared that however Pomeranian one might be by extraction and in spirit, no bench of English magistrates would take a favorable view of an assault by a big young man on a middle-aged higher mathematician of European reputation, or on Miss Violet Anastasia Dangerfield, aged thirteen, gallantly rescuing that higher mathematician's little boy from wrongful arrest and detention. Mr.
It is none the less imaginative because its discoveries always accord subsequently with fact, since man was not aware of them beforehand. Nor are its inevitable conclusions inevitable to any save those possessed of the mathematician's prophetic sight. Once discovered, it requires much less imagination to understand them.
The impetus of Achilles is one concrete fact, and carries space, time, and conquest over the inferior creature's motion indivisibly in it. He perceives nothing, while running, of the mathematician's homogeneous time and space, of the infinitely numerous succession of cuts in both, or of their order.
If you had only read this book, Aemilianus, and, instead of devoting yourself to the study of your fields and their dull clods, had studied the mathematician's slate and blackboard, believe me, although your face is hideous enough for a tragic mask of Thyestes, you would assuredly, in your desire for the acquisition of knowledge, look into the glass and sometimes leave your plough to marvel at the numberless furrows with which wrinkles have scored your face.
In fact, what would it avail even to become a second La Place after thirty years' study, if in five and thirty years the Lord descended from heaven, snatched up all his saints to meet him, and burned to ashes all the works of the earth? Then all the mathematician's work would have perished, and he would grieve over his unwisdom, in laying up store which could not stand the fire of the Lord.
The master mathematician's grim warnings were treated by many as so much mere elaborate self-advertisement. Common sense at last, a little heated by argument, signified its unalterable convictions by going to bed. So, too, barbarism and savagery, already tired of the novelty, went about their nightly business, and save for a howling dog here and there, the beast world left the star unheeded.
So far as pure geometry is concerned, the mathematician's technical equipment is almost wholly Greek. The Greeks laid down the principles, fixed the terminology and invented the methods ab initio; moreover, they did this with such certainty that in the centuries which have since elapsed there has been no need to reconstruct, still less to reject as unsound, any essential part of their doctrine.
They all heard it by turns, and, while they paused in puzzled wonder and humor, the undaunted infant looked down as innocent as a chubby, cheery face painted on some household clock. The innocent expression of the child touched the mathematician's heart.
Various were the discoveries, and various the discoverers also, all now at rest, like Archimedes, the greatest of them all, in his Sicilian tomb, overgrown with brambles and forgotten, found only by careful research of that liberal-minded Cicero, and recognized only by the sphere and circumscribed cylinder thereon engraved by the dead mathematician's direction.
"In other words," he went on, with the mathematician's natural stubborn propensity for logic, "in order to resist the force of the incoming water, it would be necessary to exert, upon every part of the large surface, a force equal to that brought into action in the vertical column, but with this difference if the column of liquid is a foot in height, the thousand little columns of the wide surface will only have a very slight elevating power.
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