Spotted the question here:
http://math.stackexchange.com/questions ... rnomogram
I can see how to do this much: V + 12h³  6ah² easily enough, and probably any two of the terms on the RHS can be done the same way.
This doesn't look like it's necessarily impossible, but it might require playing with terms in all three columns.
Can anyone get that to come out?
Determinant for V = 12h³  6ah² + ha²

 Posts: 27
 Joined: Sun Sep 11, 2011 3:54 pm
Re: Determinant for V = 12h³  6ah² + ha²
Not often I get to be the clever one around here.
Determinant:
0__________V_________1
1__________[6aa²]_______1
[h/(h+1)]__[12h³/(h+1)]___1
It's a standard type 4 determinant as described by Levens, or Genus 1 as described by Alcock and Jones. The formula just translates directly across.
Jason
Determinant:
0__________V_________1
1__________[6aa²]_______1
[h/(h+1)]__[12h³/(h+1)]___1
It's a standard type 4 determinant as described by Levens, or Genus 1 as described by Alcock and Jones. The formula just translates directly across.
Jason
Re: Determinant for V = 12h³  6ah² + ha²
Hi Jason
That determinant seems to be V = 12h³  6ah + ha²
Unfortunately, the equation is V = 12h³  6ah² + ha² ( note middle term is a little different)
A comment in Hall seems to suggest that without a common factor (as there is in the first one), 3terms in two RHS variables usually doesn't work; this may be an example of a case where it doesn't.
I appreciate the effort; your suggestion is a bit neater than one I had and gives me more room to play with it.
That determinant seems to be V = 12h³  6ah + ha²
Unfortunately, the equation is V = 12h³  6ah² + ha² ( note middle term is a little different)
A comment in Hall seems to suggest that without a common factor (as there is in the first one), 3terms in two RHS variables usually doesn't work; this may be an example of a case where it doesn't.
I appreciate the effort; your suggestion is a bit neater than one I had and gives me more room to play with it.

 Posts: 27
 Joined: Sun Sep 11, 2011 3:54 pm
Re: Determinant for V = 12h³  6ah² + ha²
Oh bother. Thought I had it!
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