Re: [math-fun] Simultaneous rational approximation of two irrationals

8 Dec 2002


      At 03:04 PM 12/8/2002 -0800, Eugene Salamin wrote:
...
If x is irrational, and I wish to best approximate the
ratio x:1 by integers a:b, then I would use continued
fractions.  Suppose x and y are irrational, and I wish
to best approximate the ratio x:y:1 by integers a:b:c.
 Is it known how to do this?
Why not take c=1 and approximate x/y by a/b?  (I don't see any loss of 
generality.)


+---------------------------------------------------------+
|       Jud McCranie                                      |
|                                                         |
| Programming Achieved with Structure, Clarity, And Logic |
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