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Normal to an edge of a polygon, from a point inside the polygon

Suppose that I have a closed boundary that is represented by nn points. Using these nn points I construct a polygon with nn sides. I have a point P(x,y)P(x,y) that islays inside the polygon. 

I want to draw the normal from Point PP to the edge/edges of polygon. Depending on the shape of the polygon, I can have multiple edges to which I can draw normalnormals from point PP. How shall I select the subset of edges (from all edges of polygon) that can be chosen to draw normal from point P.P?

Normal to an edge of polygon from a point inside the polygon

Suppose I have closed boundary that is represented by n points. Using these n points I construct a polygon with n sides. I have a point P(x,y) that is inside the polygon. I want to draw normal from Point P to edge/edges of polygon. Depending on shape of polygon I can have multiple edges to which I can draw normal from point P. How shall I select subset of edges (from all edges of polygon) that can be chosen to draw normal from point P.

Normal to an edge of a polygon, from a point inside the polygon

Suppose that I have a closed boundary that is represented by n points. Using these n points I construct a polygon with n sides. I have a point P(x,y) that lays inside the polygon. 

I want to draw the normal from Point P to the edge/edges of polygon. Depending on the shape of the polygon, I can have multiple edges to which I can draw normals from point P. How shall I select the subset of edges (from all edges of polygon) that can be chosen to draw normal from point P?

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Normal to an edge of polygon from a point inside the polygon

Suppose I have closed boundary that is represented by n points. Using these n points I construct a polygon with n sides. I have a point P(x,y) that is inside the polygon. I want to draw normal from Point P to edge/edges of polygon. Depending on shape of polygon I can have multiple edges to which I can draw normal from point P. How shall I select subset of edges (from all edges of polygon) that can be chosen to draw normal from point P.