sorry for mistake.
>From: "J. Lee Dixon" <[EMAIL PROTECTED]>
>Reply-To: Discussion list for Java 3D API <[EMAIL PROTECTED]>
>To: [EMAIL PROTECTED]
>Subject: Re: [JAVA3D]
>Date: Tue, 6 Feb 2001 09:10:53 -0500
>
>I think you missed something. Working it out it looks like this:
>
>(Vi - Vj) - (Vj - Vk) =
>Vi - Vj - Vj + Vk =
>Vi - 2Vj + Vk
>
>
>-Lee
>
> > -----Original Message-----
> > From: Christopher Kim [mailto:[EMAIL PROTECTED]]
> > Sent: Tuesday, February 06, 2001 8:56 AM
> > To: [EMAIL PROTECTED]
> > Subject: Re: [JAVA3D]
> >
> >
> > When you do it by hand, due to communitive property of vector
> > matrix, the
> > equation
> >
> > | ( Vi - Vj ) - ( Vj - Vk ) |
> >
> > will become
> >
> > | ( Vi + Vk ) |
> >
> > since you multiply the -1 to the right side and add them.
> >
> > and with using the Math.sqrt((Xi+Xk)^2+(Yi+Yk)^2)
> > will give you the amplitude of the vector.
> >
> > ---
> > Chris Kim
> > Iowa State University
> >
> > >From: Tien Tran Thuong <[EMAIL PROTECTED]>
> > >Reply-To: Discussion list for Java 3D API
> > <[EMAIL PROTECTED]>
> > >To: [EMAIL PROTECTED]
> > >Subject: Re: [JAVA3D]
> > >Date: Tue, 6 Feb 2001 14:36:12 +0100
> > >
> > >thank you for you reply
> > >
> > >there are three point: i, j and k.
> > >Vi = (Xi, Yi), Vj = (Xj, Yj) and Vk = (Xk, Yk) are the coordinates of
> > >i,j,k
> > >I'd like to know how to calculate:
> > >| ( Vi - Vj ) - ( Vj - Vk ) |
> > >
> > >it's knew that : | Vi - Vj | = Math.sqrt( (Xi-Xj)*(Xi-Xj) -
> > >(Yi-Yj)*(Yi-Yj) )
> > >
> > >thank you
> > >
> > > > Hi Tien,
> > > >
> > > > Are you referring that "Vi-1" is "V sub i minus1" and
> > "Vi+1" is "V sub i
> > > > plus 1"?
> > > >
> > > > | ( Vi-1 - Vi ) - ( Vi - Vi+1 ) |
> > > >
> > > > ----
> > > > Chris Kim
> > > > Iowa State University
> > > >
> > > > >From: Robert Pies <[EMAIL PROTECTED]>
> > > > >Reply-To: Discussion list for Java 3D API
> > ><[EMAIL PROTECTED]>
> > > > >To: [EMAIL PROTECTED]
> > > > >Subject: Re: [JAVA3D]
> > > > >Date: Tue, 6 Feb 2001 13:30:19 +0100
> > > > >
> > > > >Hi Tien,
> > > > >
> > > > >I can't make sense out of your expression for at least 2 reasons:
> > > > >
> > > > >a) if Vi is a vector (xi,yi), the term 'Vi-1' doesn't make sense
> > > > >b) 'Vi-Vi' would be (0,0), so all the Vi's in your
> > expression cancel
> > > > > out...
> > > > >
> > > > >Maybe the '-' in your expression is really a '*' denoting the
> > > > >(inner) vector-product?
> > > > >
> > > > >If you tell the mailinglist what you're trying to do, maybe some-
> > > > >one can make sense of it and help you.
> > > > >
> > > > >cheers,
> > > > >
> > > > >Robert.
> > > > >
> > > > >
> > > > >
> > > > > > Tien Tran Thuong wrote:
> > > > > >
> > > > > > Hello,
> > > > > >
> > > > > > Could anyone show me please how to calculate the
> > expression below :
> > > > > >
> > > > > > | ( Vi-1 - Vi ) - ( Vi - Vi+1 ) |
> > > > > >
> > > > > > Where Vi = (xi,yi) is coordinate of the i-th vertex.
> > > > > >
> > > > > > Thank you in advance
> > > > >
> > > > >--
> > > > >
> > > > >---------------------------------------------------
> > > > >Robert Pies
> > > > >Ludwigstr. 58
> > > > >04315 Leipzig
> > > > >Germany
> > > > >+49-341-6888217 (phone&fax)
> > > > >[EMAIL PROTECTED]
> > > > >
> > > > >
> > > > >--
> > > > >
> > > > >---------------------------------------------------
> > > > >Robert Pies
> > > > >Ludwigstr. 58
> > > > >04315 Leipzig
> > > > >Germany
> > > > >+49-341-6888217 (phone&fax)
> > > > >[EMAIL PROTECTED]
> > > > >
> > > >
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