X-Google-Language: ENGLISH,ASCII X-Google-Thread: f996b,ef84650dd3e606e5 X-Google-Attributes: gidf996b,public X-Google-ArrivalTime: 2001-09-30 13:45:48 PST Path: archiver1.google.com!news1.google.com!newsfeed.stanford.edu!news.tele.dk!small.news.tele.dk!130.133.1.3!fu-berlin.de!uni-berlin.de!a1as02-p135.mch.tli.DE!not-for-mail From: Michael Schierl Newsgroups: alt.ascii-art Subject: Re: what is it? Date: Sun, 30 Sep 2001 22:46:13 +0200 Lines: 45 Message-ID: <9p809q$gs0vi$6@ID-39741.news.dfncis.de> References: <3BB60DC7.2060108@sdf.lonestar.org> <3BB6163F.6E2BBA44@rz.uni-karlsruhe.de> <3BB624DA.8010902@sdf.lonestar.orgNAYSPAM> Reply-To: schierl@gmx.de NNTP-Posting-Host: a1as02-p135.mch.tli.de (195.252.161.135) Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: 8bit X-Trace: fu-berlin.de 1001882746 17695730 195.252.161.135 (16 [39741]) X-Newsreader: Forte Agent 1.8/32.548 Xref: archiver1.google.com alt.ascii-art:8219 Oak3 wrote: > very interesting...but, 1 : 1.6180339 is not = 1.6180339 - 1 >One is a ratio, you can see the : as a dividing sign. > the sum of the other is a decimal > what i find interesting is where the square root of 5 came from? > > I assume its from a theorem that im not familiar which you have employed. > Can you possibly elaborate further.? >> 1 >> - = x - 1 => >> x multiply both sides by x 1 = x�-x subtract 1 on both sides x�-x-1 = 0 then use the formula: | ax�+bx+c = 0 <-> | | | _ _________ | -b + \| b� - 4ac | x =--------------------- | 1,2 2a and then go on (only use the +, not the - of the +/- sign): >> ___ >> 1 + \| 5 1 2 >> x = --------- => - = --------- >> 2 x ___ >> 1 + \| 5 Michael