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31 Oct 2024 14:09:19 EDT (-0400)
  "Simple" math question (Message 1 to 9 of 9)  
From: Bald Eagle
Subject: "Simple" math question
Date: 3 Aug 2013 23:55:00
Message: <web.51fdcf1fe78fc7d073fc9ebb0@news.povray.org>
http://mathworld.wolfram.com/Circle-CircleIntersection.html

I'm having a hard time getting from 7 to 8.

My next goal is to derive the equation for intersecting circle and ellipse

http://mathworld.wolfram.com/Circle-EllipseIntersection.html

and then do some thinkin' and see if I can figure out the equation for an
ellipse intersecting another ellipse.



THEN, if I haven't blown a mental gasket,  figure out how to expand that into
3D, and intersect spheres, oblate and prolate spheroids.


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From: Orchid Win7 v1
Subject: Re: "Simple" math question
Date: 4 Aug 2013 04:31:01
Message: <51fe1145$1@news.povray.org>
On 04/08/2013 04:50 AM, Bald Eagle wrote:
>
> http://mathworld.wolfram.com/Circle-CircleIntersection.html
>
> I'm having a hard time getting from 7 to 8.

Sqrt(k / 4 d^2) = Sqrt(k) / Sqrt(4 d^2).

Sqrt(4 d^2) = Sqrt(4) Sqrt(d^2) = 2 d.

2 * Sqrt(k) / 2 d = Sqrt(k) / d = (1/d) Sqrt(k).

Simples.

[He says after spending 20 minutes figuring it out himself...]


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From: Stephen
Subject: Re: "Simple" math question
Date: 4 Aug 2013 04:51:08
Message: <51fe15fc$1@news.povray.org>
On 04/08/2013 9:31 AM, Orchid Win7 v1 wrote:

>
> Simples.
>
> [He says after spending 20 minutes figuring it out himself...]

:-D

That reminds me of a maths teacher I once had at school who said. "It is 
obvious that... Wait a minute". Then left the classroom, returned twenty 
minutes later and said. "Yes, it is obvious."

-- 
Regards
     Stephen


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From: Bald Eagle
Subject: Re: "Simple" math question
Date: 4 Aug 2013 11:45:00
Message: <web.51fe763646d3cd8873fc9ebb0@news.povray.org>
Super.  That got me that far.
I couldn't get from 8 to 9, so I just worked backwards to verify that 9 does
indeed come from 8.

Upwards and onwards.  Until I get stuck again.  :D


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From: Sherry K  Shaw
Subject: Re: "Simple" math question
Date: 4 Aug 2013 17:40:31
Message: <51feca4f$1@news.povray.org>
Stephen wrote:
>
> That reminds me of a maths teacher I once had at school who said. "It is
> obvious that... Wait a minute". Then left the classroom, returned twenty
> minutes later and said. "Yes, it is obvious."
>

http://star.psy.ohio-state.edu/coglab/Miracle.html

--Sherry Shaw


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From: Stephen
Subject: Re: "Simple" math question
Date: 4 Aug 2013 22:47:18
Message: <51ff1236$1@news.povray.org>
On 04/08/2013 10:41 PM, Sherry K. Shaw wrote:
> Stephen wrote:
>>
>> That reminds me of a maths teacher I once had at school who said. "It is
>> obvious that... Wait a minute". Then left the classroom, returned twenty
>> minutes later and said. "Yes, it is obvious."
>>
>
> http://star.psy.ohio-state.edu/coglab/Miracle.html
>

:-D

Hi stranger.


-- 
Regards
     Stephen


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From: Bald Eagle
Subject: Re: "Simple" math question
Date: 5 Aug 2013 08:30:00
Message: <web.51ff99d946d3cd8873fc9ebb0@news.povray.org>
"The rest is left as an exercise for the alert reader..."


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From: Sherry K  Shaw
Subject: Re: "Simple" math question
Date: 5 Aug 2013 11:18:54
Message: <51ffc25e$1@news.povray.org>
Stephen wrote:
> On 04/08/2013 10:41 PM, Sherry K. Shaw wrote:
>> Stephen wrote:
>>>
>>> That reminds me of a maths teacher I once had at school who said. "It is
>>> obvious that... Wait a minute". Then left the classroom, returned twenty
>>> minutes later and said. "Yes, it is obvious."
>>>
>>
>> http://star.psy.ohio-state.edu/coglab/Miracle.html
>>
>
> :-D
>
> Hi stranger.
>
>

Hello to you!  :)

--Sherry Shaw


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From: Stephen
Subject: Re: "Simple" math question
Date: 5 Aug 2013 15:35:52
Message: <51fffe98$1@news.povray.org>
On 05/08/2013 4:19 PM, Sherry K. Shaw wrote:
>> Hi stranger.
>>
>>
>
> Hello to you! :)

:-)

-- 
Regards
     Stephen


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