- I do not find a method to construct P*U, but there are simple loci (ie we

can find them by simple computations)

for P if U is fixed. For example:

---- which is the locus of P such that Q, P, P*U are collinear?

--- which is the locus of P such that the line PP*U is parallel to Euler

line?

aph

On Mon, Apr 15, 2013 at 1:28 PM, C�sar Lozada <cesar_e_lozada@...>wrote:

> **

>

>

> Dear geometers:

>

> If P=(p : q : r ) and U=( u : v : w),

>

> what�s the geometrical meaning of Q = ( p*u : q*v : r*w)

>

> for barycentric and trilinear coordinates, if any ?

>

> Is there any construction leading to Q from P and U?

>

> Thanks in advance.

>

> Cesar Lozada

>

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--

[Non-text portions of this message have been removed] - Dear C�sar Lozada,

> If P=(p : q : r ) and U=( u : v : w),

You may want to consult �1.2.2 in

>

> what�s the geometrical meaning of Q = ( p*u : q*v : r*w)

http://bernard.gibert.pagesperso-orange.fr/files/isocubics.html

Best regards

Bernard

[Non-text portions of this message have been removed]