Euclid for his modesty and consideration of others. Pappus augmented his Eudemian Summary with the frequently told story of Euclid's reply to Ptolemy's request for a short cut to geometric know ledge that "there is no royal road in geometry." But the same story has been told of Menaechmus when he was serving as instructor to Alexander the Great. Stobaeus told another story of a student studying geometry under Euclid who questioned what he would get form learning the subject, whereupon Euclid ordered a slave to give the fellow a penny, "since he must make gain from what he learns."
FIBONACCI, L.(ca.1175-1250)
 | known as Leonardo of Pisa (or Leonarde Pisano), Fibonacc was born in the commercial center of Pisa, where his father was connected with the mercantile business. Many of the large Italian businesses in those days maintained warehouses in various parts of the Medterranean world. It was in this way, when his father was serving as a customs manager, that young Leonardo was brought up in Bougie on the north coast of Africa. The father's occupation early roused in |
the boy an interest in arithmetic, and subsequent extended trips to Egypt, Sicily, Greece, and Syria btought him in contact with Eastern and Arabic mathematical practices. Thoroughly convinced of the practical superiority of the Hindu-Arabic methods of calculation, Fibonacci, in 1202, shortly after his return home, published his famous work called the Liber abaci.
In 1220, Fibonacci's Practica geometriae appeared, a vast collection of material on geometry and trigonometry treated skillfully with Euclidean rigor and some originality. About 1225, Fibonacci wrote his Liber quadratorum, a brilliant and original work on indeterminate analysis, which has marked him as the outstanding mathematician in this field, betweem Diophantus and Fermat. These works were beyond the abilities of most of the contemporary scholars. |
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