Re: Circle equation problem

• To: mathgroup at smc.vnet.net
• Subject: [mg61580] Re: Circle equation problem
• From: Daniele Lupo <danwolf80_no_spam_ at libero.it>
• Date: Sat, 22 Oct 2005 05:11:26 -0400 (EDT)
• References: <dja2c3\$fig\$1@smc.vnet.net> <djcg72\$6ci\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Il Sat, 22 Oct 2005 04:46:26 +0000 (UTC), Jens-Peer Kuska ha scritto:

> expr = Abs[p]^2 == Abs[(G - X + I*Y)/(-1 + G*(X +
> I*Y))]^2;
>
> expr1 = ComplexExpand[expr, TargetFunctions ->
> {Re, Im}] // FullSimplify;
>
> expr2 = (Expand /@ (expr1 /. a_ == b_/c_ :> a*c ==
> b)) /.
> a_ == b_ :> a - b == 0
>
> and you see that at least X must be scaled by
> x->X/(p*G)
>

Hi.

It does not work. As I've said, G and p are complex parameters, so I must
to write, for expr1

expr1 = ComplexExpand[expr, {p, G}, TargetFunctions -> {
Re, Im}] // FullSimplify

Then, using your command for expr2, I see X and Y that are present in the
denominator, so the problem it's not resolved...

Daniele Lupo

```

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