7. 7
Al-Khwarizmi
• Lived in Baghdad
• Gave his name to the
word “algorithm”
• The word “algebra”
comes from al jabr, the
title of one of his books
• Was the pioneer of the
calculation of pi in the
East
Al-Khwarizmi
8. 8
– Ptolemy calculated pi to be 3.1416
– Zu Chongzhi obtained the value pi= 355/113
– Al-Khwarizmi without knowledge of Ptolemy’s
work found pi to be 3.1416
– Al-Kashi calculated pi to 14 decimal places
– Roomen calculated pi to 17 decimal places
– Van Ceulen calculated pi to 35 decimal places
Pi becomes more and more exact
14. 14
What is the “value” of pi?
Pi is an irrational number-Its decimal repeats
forever.
Mathmaticians estimate digits of Pi to use it
in real world settings.
Pi is usually rounded off to about 3.1415.