history of mathematics

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Page 188 - In these far climes it was my lot To meet the wondrous Michael Scott ; A wizard of such dreaded fame That when, in Salamanca's cave, Him listed his magic wand to wave, The bells would ring in Notre Dame...
Page 391 - I never come across one of Laplace's ' Thus it plainly appears* without feeling sure that I have hours of hard work before me to fill up the chasm and find out and show how it plainly appears...
Page 101 - I can only compare their mathematical and astronomical literature, as far as I know it, to a mixture of pearl shells and sour dates, or of pearls P»«« and dung, or of costly crystals and common pebbles.
Page 73 - Syracusans, for there were some of their principal men with me there, that I imagined that was what I was inquiring for. Several men being sent in with scythes, cleared the way, and made an opening for us. When we could get at it, and were come near to the front of the pedestal, I found the inscription, though the latter parts of all the verses were effaced almost half away. Thus one of the noblest cities of Greece, and one which at one time likewise had been celebrated for learning, had known nothing...
Page 25 - ... year. If the river carried away any portion of a man's lot, he appeared before the king, and related what had happened ; upon which the king sent persons to examine, and determine by measurement the exact extent of the loss; and thenceforth only such a rent was demanded of him as was proportionate to the reduced 5ize of his land.
Page 70 - ... this. Hiero being struck with amazement at this, and entreating him to make good this problem by actual experiment, and show some great weight moved by a small engine, he fixed accordingly upon a ship of burden out of the king's arsenal, which could not be drawn out of the dock without great...
Page 184 - Him listed his magic wand to wave, The bells would ring in Notre Dame ! Some of his skill he taught to me; And, warrior, I could say to...
Page 70 - ... loading her with many passengers and a full freight, sitting himself the while far off, with no great endeavor, but only holding the head of the pulley in his hand and drawing the cords by degrees, he drew the ship in a straight line, as smoothly and evenly, as if she had been in the sea.
Page 49 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : 1.
Page 25 - Sesostris also, they declared, made a division of the soil of Egypt among the inhabitants, assigning square plots of ground of equal size to all, and obtaining his chief revenue from the rent which the holders were required to pay him year by year. If the river carried away any portion of a man's lot, he appeared before the king, and related what had happened; upon which the king sent persons to examine, and determine by measurement the exact extent of the loss; and thenceforth only...

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