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Updated: May 26, 2025
There must have been some real distress, some actual calamity, at the bottom as the ground-work of the narration; for, as mathematicians assure us, the rainbow is nothing else but a variegated image of the sun, thrown upon the sight by the reflection of his beams from the clouds; and thus ought we to look upon the present story as the representation, or rather reflection, of something real as its true cause.
Modern mathematicians may not have the patience to go through his investigations, since the conclusions he arrived at may now be reached by shorter methods; but the great conclusions of the old geometers were reached by only prodigious mathematical power.
He was too much pleased with science and quiet. Astronomy was always Barretier's favourite study, and so much engrossed his thoughts, that he did not willingly converse on any other subject; nor was he so well pleased with the civilities of the greatest persons, as with the conversation of the mathematicians.
When Stephenson invented his locomotive engine, European mathematicians of the time, instead of opening their eyes and studying the facts, continued for years to prove to their own satisfaction that an engine on smooth rails could never pull a load, as the wheels would simply slip round and round and the train make no progress.
In comparing the observed and predicted motion of the moon, mathematicians and astronomers, beginning with Laplace, have been perplexed by what are called "inequalities of long period." For a number of years, perhaps half a century, the moon would seem to be running ahead, and then she would gradually relax her speed and fall behind. Laplace suggested possible causes, but could not prove them.
When the Qur’án appeared, all the mathematicians ridiculed these statements and attributed the theory to ignorance. Even the doctors of Islám, when they saw that these verses were contrary to the accepted Ptolemaic system, were obliged to explain them away.
"It is a mistake," said one of the statesmen of the Mississippi Valley, Senator Thomas H. Benton, "to suppose that none but men of science lay off a road. There is a class of topographical engineers older than the schools and more unerring than the mathematicians.
He also studied surgery at this time, and incidentally paid a visit to William of Orange at The Hague. Early next year he visited England, formally, lodging at Deptford, and continuing his training in naval construction. Thence, and from Holland, he collected mathematicians, engineers, and skilled workmen.
Once, after all was done, he said to me that cats and mathematicians were the only generals. With a belligerent pride Clark showed the way up the river one evening, the batteries of the town giving us plunging shots as we went, and ours at Point Levis answering gallantly.
On the other hand certain distinguished mathematicians at home and abroad verified the results of Adams. The issue was merely a mathematical one. It had only one correct solution. Gradually it appeared that those who opposed Adams presented a number of different solutions, all of them discordant with his, and, usually, discordant with each other.
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