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From: lvc@cbscd5.UUCP
Newsgroups: net.math
Subject: -1 = 1, and 1 = 2 'proofs'
Message-ID: <551@cbscd5.UUCP>
Date: Fri, 9-Sep-83 10:21:23 EDT
Article-I.D.: cbscd5.551
Posted: Fri Sep  9 10:21:23 1983
Date-Received: Sat, 10-Sep-83 20:59:36 EDT
Organization: Bell Labs <SCCS>, Columbus
Lines: 21

Here is 'proof' that -1 = 1 :

-1 = -1  =>
-1/1 = 1/-1  =>
sqrt(-1/1) = sqrt(1/-1)  =>	(sqrt is the square root operation here)
sqrt(-1)/sqrt(1) = sqrt(1)/sqrt(-1)  =>
sqrt(-1)*sqrt(-1) = sqrt(1)*sqrt(1)  =>
-1 = 1

And one for you calculus fans :

x^2 =  x + x + ... + x	(x times)

differentiate both sides with respect to x

2*x = 1 + 1 + ... + 1	(x times)
2*x = x			(divide by x)
2 = 1 

Larry Cipriani
cbosgd!cbscd5!lvc