Re: Have I refuted Euclidean geometry ?!
- From: richard@xxxxxxxxxxxxxxx (Richard Tobin)
- Date: 24 May 2007 17:01:11 GMT
In article <1180025860.126698.54470@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Tom Gur <gur.tom@xxxxxxxxx> wrote:
Let there be two co-centered circles.
If I'll roll the big circle so it would complete a 360 turn - the
distance that it'll cover will be the bigger circle circumference.
If I'll roll both of the circles simultaneously (like rolling a disc)
the small circle would also complete a 360 but it will travel the
distance of the bigger circle.
How can it be ?
The smaller circle is not rolling.
Join two cylinders of different radius so they share the same axis.
Roll them along - the smaller one will not be touching the ground.
Add a step for the smaller one to roll along: you will find that
the two can't both roll, one has to slip.
-- Richard
--
"Consideration shall be given to the need for as many as 32 characters
in some alphabets" - X3.4, 1963.
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