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The sons of dukes have become mathematicians; we have known an attorney's clerk, the son of a low publican, become an accomplished linguist in his leisure hours, but such men are mental miracles, almost monsters: a fellow of Magdalen or New College who works as hard as other men deserves to be canonized. We have not space to say anything of the other Colleges. St.

Like certain other great mathematicians Herschel was also a poet, and he published a translation of the Iliad into blank verse. In his later years Sir John Herschel lived a retired life. For a brief period he had, indeed, been induced to accept the office of Master of the Mint.

Biological science, which a generation ago was supposed to be at the antipodes of exact science, is becoming more and more exact, and is cultivated by methods which are developed and taught by mathematicians. Psychophysics the study of the operations of the mind by physical apparatus of the same general nature as that used by the chemist and physicist is now an established branch of research.

Those of Tuscany, who were by comparison liberal, and, as known to be such, were more or less objects of suspicion to the Austrian, Roman, and Neapolitan Governments, led the way in giving the permission asked for; and perhaps thought that an assembly of geologists, entomologists, astronomers, and mathematicians might act as a safety valve, and divert men's minds from more dangerous subjects.

Afterward the Ptolemaic theory was spread abroad, and the idea of Plato was entirely forgotten, until at last a new observer again called it to life. Thus all the mathematicians disagreed, although they relied upon arguments of reason. In the same way, by logical arguments, they would prove a problem at a certain time, then afterward by arguments of the same nature they would deny it.

Certainly these Ana are wonderful mathematicians wonderful for the adaptation of the inventive faculty to practical uses.

So he bade make ready the commissariat and prepare munitions of war and went in to his wife, who was now five months gone with child; and he put under her astrologers and mathematicians, to whom he appointed stipends and allowances.

Mathematicians know that there is not a fourth way possible in which a plane shall be cut into little spaces that shall be equal, similar, and regular, without useless spaces. Of the three figures, the hexagon is the most proper for convenience and strength. Bees, as if they knew this, make their cells regular hexagons.

Smith's, for the two most distinguished mathematicians of the year. The senior wrangler's papers had the first of these; for the second, Mackenzie was neck and neck with a Trinity College man, and the question was only decided by the fact that Dr.

Besides, as they were manifestly mathematicians, such an approximation as was obtained by Archimedes must have been well within their power; and that approximation lies well within the limits above indicated.