Sinossi
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1879. Excerpt: ... that its area is of the triangle, having its double ordinate for base, and abscissa for height. His method of arriving at this result is very striking. "The Psammites," or sand counter, a small treatise on arithmetical numeration is curious, as containing the germ of the modern system of logarithms. Many others, known to have been his, are entirely lost. To him likewise belongs the honor of demonstrating the proportion existing between a sphere and its circumscribed cylinder, and so highly did he prize this discovery that he asked to have it inscribed upon his tomb. In pure geometry he made as near an approximation to the fluxional method as can possibly be done without the aid of algebraic equations. Skilled in mechanics, he has left his name to one of its most original inventions, and signalized his faith in its illimitable powers by the familiar aphorism: Air rrov Ot£, Koi rrjv yrjv Kivrjoti. His death was tragic, partaking somewhat of the tenor of his life, for at the capture of his native city, when called upon to surrender, he waived off the intruder, telling him not to disturb his meditation. But the legionary knew not the geometer, and slew him on the spot. It was reserved, however, for a Boman senator to make graceful reparation for the wrong of a rude soldier. Two hundred years later the great orator who had poured foul scorn upon Verres for plundering Sicily, might have been seen groping amid ruined memorials at Syracuse to And and restore a slab inscribed with cylinder and circle. It was Cicero at the grave of Archimedes. It would be easy to extend this exemplification of an era so famous in the progress of mathematics; but it needs not. It will suffice to say that no cessation manifested itself in the avidity with which such studies wer...
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