# Finding the intersections of straight lines

Given a set of lines intersecting the quadrant with $x, y>0$, what are the available algorithms for finding the area below all straight lines (including $y$ and $x$ axis)? In other words, methods to find the points of the polygon given be the intersections of the lines?

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set equal this lines each other,did i guess correctly what did you mean? –  dato datuashvili Mar 24 '12 at 7:34
I'm looking for algorithms to solve this problem in the most efficient way.. –  ACAC Mar 24 '12 at 7:37
are you trying to find the area bounded by a set of lines and the x and y axes? by x,y > 0 do you mean that the x and y intercept of all lines in the set are positive? –  Ben Mar 24 '12 at 8:17
The question is very confusingly written. I think you are interested in the area of a polygon given in the form $Ax\le b$, $x\ge 0$, which you can do with fast convex hull algorithms. –  Louis Mar 24 '12 at 15:45