Premium
Archimedes and Pi ‐ Revisited
Author(s) -
Bidwell James K.
Publication year - 1994
Publication title -
school science and mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.135
H-Index - 2
eISSN - 1949-8594
pISSN - 0036-6803
DOI - 10.1111/j.1949-8594.1994.tb15638.x
Subject(s) - calculator , recursion (computer science) , series (stratigraphy) , value (mathematics) , pi , calculus (dental) , mathematics , process (computing) , computer science , algorithm , geometry , statistics , programming language , geology , medicine , paleontology , dentistry , operating system
Archimedes of Syracuse (287‐212 B.C.) created the first known recursion process for estimating the value of π. The “classical method” of Archimedes is developed and programs for the TI‐81 calculator are given for finding the upper and lower bounds. This classical method is compared with the Gregory‐Machin infinite series method (after 1706). A Tl‐81 program is given for this method.