source file: mills2.txt Date: Thu, 27 Feb 1997 10:11:32 -0800 Subject: RE: TUNING digest 998 From: Daniel Wolf PAULE wrote: ''The idea of irrational numbers was too repugnant to the ancient Greeks'' This is simply a false statement. Pythagoreans were said to have known of the irrationality of the square root of 2, in the 4th century BC, the ''three big problems'' were solved by Menaechmus and Dinostratus with conic sections and the quadratrix (a transcendental curve), in the golden age of Greek Mathematics (3rd century BC), all of the great figures (Archimedes, Apollonius of Perga, Eratosthenes, Happarchus) used irrationals without repugnance. Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Thu, 27 Feb 1997 19:45 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA32175; Thu, 27 Feb 1997 19:45:47 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA32090 Received: from by ella.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) id KAA19238; Thu, 27 Feb 1997 10:43:19 -0800 Date: Thu, 27 Feb 1997 10:43:19 -0800 Message-Id: <3315C13E.3BB3@cavehill.dnet.co.uk> Errors-To: madole@mills.edu Reply-To: tuning@ella.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@ella.mills.edu