Hi,
while I can bring Maxima to resolve a set of quotations with one set
of variables filled in, but it doesn't work the reverse way (to find
the numbers the first run printed). I am sure I am trying to do
something that Maxima doesn't support and I would be grateful for
hints about my misunderstanding.
I'm trying to use Maxima to find the crosspoints of two hyperbolas. To
make sure I have valid input data, I first resolve the equotations
with the to-be-found crosspoint (bx, by) filled in with an example. It
gives the the relative distances between the first and second and the
first and third measuring point as expected:
delta2 = 727.7195050753926;
delta1 = 211.7114188973537;
This is appended file 1, "test2.max". It works as expected.
But when I fill in the relative distance variables anad try to resolve
the equotation to find the coordinates of the crosspoint (bx, by),
maxima gives no answer "[]". This is appended file 2, "test3.max".
Definitions and assumptions used (I apologize for some bad english, I
learned math in German).
We have a coordinate system with three known "observation points",
which will be the base for the distance values for the hyperbolas.
Point 1 is 0,0, point 2 is defined as on the X-Axis on op2x,0, point 3
is anywhere at op3x,op3y. I am looking for a point bx,by, of which I
know "it is <delta1> more meters from op2 than op1 and <delta2> more
meters from op3 than op1".
Variables dis1, dis2 and dis3 are the distances of the point I am
looking for from the observation points. They fall out when solving
the equotations, leaving only delta1 and delta2, which I know.
Again, the first appended file "test2.max" is only to find
known-to-be-valid delta1 and delta2 to feed into the real thing, the
second appended file.
Maybe I need to supply input to the second solving that has two
solutions in it, for two crosspoints, not one as I feed in? If so, how
can I do that in Maxima?
I appreciate your comments
Martin
Attached file: test2.max
Attached file: test3.max