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Voltaire's flagrant Narrative had the round of the world to itself, for a hundred years; and did its share of execution against Friedrich. The story falls into two Parts. In Fredersdorf's writing, all this; not so mathematically luminous and indisputable as in Eichel's it would have been.
After these laws had been investigated and the various formulae which mathematically expressed them had been determined, there still remained the difficult task of how to solve one of these complicated mathematical problems quickly enough to make this knowledge available for every-day use.
The ground beneath their feet was rough, but as far away as they could see, out up to the horizon, it was mathematically level. This great expanse was empty except in one place; over to the right there appeared a huge, irregular, blurred mass that might have been, by its look, a range of mountains.
The planets circle about the sun in accordance with the pull and haul of forces which work in the same direction from year to year and lead to the same mathematically describable result. By means of measurements and calculations, celestial mechanics has been able to predict eclipses centuries ahead and to test historical records in regard to those which happened thousands of years ago.
"S O S" from Friday Island Max Handy, the Canadian youth at Rockport, who gave the crew of the Catwhisker, by wireless, directions whereby the latter were able to locate "mathematically" the whereabouts of the "Canadian Crusoe's Friday Island" listened in much of the time thereafter, in the hope of being able to keep in touch with developments to the end of this interesting radio affair.
Of the four occasions mathematically possible in which the day and the month can be equal, there are only two which at present need engage our attention one of these occurred near the beginning of the earth and moon's history, the other remains to be approached in the immeasurably remote future. The two remaining solutions are futile, being what the mathematician would describe as imaginary.
Then, indeed, has been awakened the "divine man" and the path to immortality is henceforth comparatively short, although by no means strewn with roses, judged from the limited standard of Relativity. A man's karma simply and mathematically, proves the direction of his former desires. Karma does not punish or reward, as is frequently imagined.
The States-General, while swallowing the crumb of sovereignty vouchsafed by the archdukes, were to accept them as protectors, in order not to fall a prey to the enemies whom they imagined to be their friends. What could be more hopeless than such negotiations? What more dreary than the perpetual efforts of two lines to approach each other which were mathematically incapable of meeting?
The leading authority on this subject, and one, too, whose statements are mathematically accurate, is Vitruvius, who also distinctly points out the great difference between the Greek and Roman theatres. The ancient dramatists are still, therefore, greatly in want of that illustration which a right understanding of their scenic arrangements is calculated to throw upon them.
The crater was almost mathematically circular in shape, of about a quarter of a mile in internal diameter, and fully five hundred feet deep; the sides of the cup were practically vertical, and everywhere so smooth that I could nowhere discover a spot where a descent into the crater would have been possible, even had I desired to go down into it.
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