Among the Arabs who laid the foundations for modern astronomy were Battani (858-929) and Biruni (973-1048). Battani's astronomical tables were not only adopted enthusiastically by the West, but were in use there until the Renaissance. He was the first to replace the Greek chord by the sine, in trigonometry. His works were translated and published in Europe from the twelfth until the mid-sixteenth century.
Professor Sarton considers Biruni "One of the very greatest scientists of all time." It was he who gave, finally, an accurate determination of latitude and longitude, and who, six hundred years before Galileo, discussed the possibility of the earth's rotation around its own axis. He also investigated the relative speeds of sound and light.
However much astronomy depends upon mathematics, equally vital to it are instruments, and in that field, also, the Arabs proved themselves the chief pioneers. In the early Middle Ages, measurements had to be made with purely mechanical instruments, such as the quadrant, the sextant, or the astrolabe. To reduce the margin of error, the Arabs made their instruments larger than any known before and, consequently, obtained remarkably accurate results. The most famous observatory at which these instruments were being used was at Maragha, in the thirteenth century, where distinguished astronomers from many countries collabo-
 
   
 
     
  rated-not only Muslim, Christian and Jew, but even Chinese. It was the latter who were responsible for the otherwise surprising appearance of Arab trigonometry in China.

It has already been indicated that, in the hands of the Arabs, mathematics acquired a new "dynamic" quality. We find this in Biruni's trigonometry, where numbers became elements of function, and in Khawarazmi's algebra, where the algebraic symbols contain within themselves potentialities for the infinite. What is significant about this development is that it reveals an intuitive correspondence between mathematics and religion. The Qur'an does not present the universe as finally created or as a finished "article." Rather, God keeps re-creating it at every moment of existence. In other words, creation is an ever-living process, and the world is not static but dynamic. This dynamic character, inherent in Islam, is amply manifested in Arab mathematics.
In conclusion, it is clear that Arab mathematicians, besides passing on to the West the Hindu and Greek legacies, have developed most branches of trigonometry and astronomy, have given us algebra, have invented many astronomical instruments, and have shown that science, instead of being a denial of faith, can be its instrument if not its affirmation.

 
   
 
       
   
     
   

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