Can i use the "solve" function in this case?

Hello, i'm working on a GUI and i'm having trouble finding the coordinates of a point between two other points using solve. I need to divide a line, a user set number of times, and put a text in it.

Also, if there was a way to interact with the lines properties it may help, as i need to break this lines in smaller ones.

I'm open to suggestions.

I'm using Matlab R2012b version!

Answer 1

[Walter Roberson]

You do not need to solve() inside the loop. You do not need to loop there at all.

syms d x y
[sx, sy] = solve((y-Y)/(x-X) = m, (x-X)^2+(y-Y)^2 = d^2, x, y);
SX = subs(sx, d, dens * (1:ndd));
SY = subs(sy, d, dens * (1:ndd));

This will give you vectors of symbolic values, which you might later want to double(SX) for numeric use.

You have a difficulty that there are two pair of (x,y) for each d: if you change the sign of both (x-X) and (y-Y) then the ratio is the same and the sum of squares is the same, so there must be two solutions.