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Topic: triangular numbers and dets
Replies: 32   Last Post: Apr 26, 2012 1:53 PM

 Messages: [ Previous | Next ]
 Dan Cass Posts: 442 Registered: 12/6/04
Re: triangular numbers and dets
Posted: Apr 24, 2012 2:05 PM

> Seee! I went back to check you message and lost the
> goddam text of this reply. E-mail mucho simpler
> because I know what I am doing more or less with
> YAHOO. My
> e-mail address is listed under my "jm bergot" to
> make
> life simpler at age sixty-nine. I sometimes go to
> sci.math and miss one of your messages. I wonder if
> f you miss some of mine = I get zero replies to some
> of my messages. Does zero=(1)Missed or (2)Tooo dumb
> for a reply?
>
> I did poke around with your z=(3m^2 + n^2)/4. but it
> is still trial and error with a calculator. I still
> view this creature as being that triangle. Can
> there
> be MORE than one triangle having a shorter side
> of 7, as in 7,33,37?
>
> Another approach is to look directly for
> sqrt(4*z^2-3*y^2)is an integer. Still means trial
> and error, suitable for a machine.

When I looked in your "profile" the email address was
blank

On my profile, after my e-mail address it says (hidden).
So I assume one has to explicitly make the e-mail
unhidden...

Anyway, besides the triple
7^2 + 7*33 + 33^2 = 37^2
there is another with 7, namely
7^2 + 7*8 + 8^2 = 13^2.

I used my parametrization and maple's "isolve"
to get these.

But maple's isolve doesn't guarantee to find all
solutions, at least in quadratic cases.

Date Subject Author
3/29/12 jm bergot
4/3/12 Dan Cass
4/3/12 jm bergot
4/4/12 Dan Cass
4/4/12 jm bergot
4/4/12 Dan Cass
4/5/12 jm bergot
4/7/12 Dan Cass
4/10/12 jm bergot
4/11/12 Dan Cass
4/11/12 Dan Cass
4/12/12 jm bergot
4/12/12 Dan Cass
4/12/12 jm bergot
4/16/12 Dan Cass
4/16/12 jm bergot
4/17/12 jm bergot
4/17/12 jm bergot
4/17/12 Dan Cass
4/18/12 jm bergot
4/19/12 Dan Cass
4/19/12 Dan Cass
4/19/12 jm bergot
4/19/12 jm bergot
4/19/12 Dan Cass
4/19/12 jm bergot
4/20/12 jm bergot
4/24/12 Dan Cass
4/21/12 jm bergot
4/25/12 jm bergot
4/25/12 jm bergot
4/25/12 Dan Cass
4/26/12 jm bergot