Thank you Kip. I now understand the problem being solved. Are there
examples showing when this is useful? Quite true that the product of
slopes of perpendicular lines is _1 is useful.
On 02/19/2016 01:16 AM, [email protected] wrote:
Date: Fri, 19 Feb 2016 00:16:08 -0600
From: Kip Murray<[email protected]>
To:"[email protected]" <[email protected]>
Subject: Re: [Jprogramming] A plane rotation
Message-ID:
<caofworgxtje91bvkbu99kjvjudxeuyh60iemrp6ewkgodsv...@mail.gmail.com>
Content-Type: text/plain; charset=UTF-8
In your example, 0 1 is the polynomial coefficients for the straight line
being rotated. In usual math notation this is the line y = x = 0 + 1 x .
When you rotate this line by 1p1 radians about the origin 0 0 you get the
same straight line, described by 0 1 which is the answer given. (I am
"cleaning", of course.)
Also when you consider the straight line y = 1 + 2x (described by 1 2) you
notice the point 0 1 is on this line so when you rotate this line by 1p1
radians about the point 0 1 you get the same line, described by the answer
1 2 .
It helps to draw pictures of the indicated straight lines. Hope this helps.
--Kip
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