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PLIMPTON 322 ROGER C. ALPERIN
 

Summary: PLIMPTON 322
ROGER C. ALPERIN
Plimpton 322 records information on 15 right-angled triangles. The
exact method used for the table is not known.
It is known how to parameterize right triangle sides in terms of in-
teger parameters a, b: the sides are x = a2
- b2
, y = 2ab and the hy-
potenuse is z = a2
+b2
satisfying the Pythagorean Theorem x2
+y2
= z2
.
In Babylonian times one used base 60. Consider the numbers w = a
b
having prime factors in {2, 3, 5}. For our description let w = 2i
3j
5k
; the

  

Source: Alperin, Roger C. - Department of Mathematics, San Jose State University

 

Collections: Mathematics