Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Inactive » math-history-list

Topic: Archimedes square root of 3
Replies: 8   Last Post: Feb 5, 2013 9:23 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Milo Gardner

Posts: 1,105
Registered: 12/3/04
Re: Archimedes square root of 3
Posted: Feb 4, 2013 4:29 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Reply

E.J. Dijkerhuis "Archimedes" page 435 discussed

(27^1/2)/3 in terms of a continuing fraction series

cited 3^1/2, 26/15, 265/153, 1351/780

followed by

"... what a more satisfactory solution of the question could possibly look like like?"

how about ...

1. (5 + 1/50^2 = (27 + 1/25)/3

2. [(5 + 1/5 + 1/25X 52/5 = 1/260}/3

such that

(5 + 1/5 - 1/260}/3 = 1351/780

Q.E.D.



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.