find common tangent between point and path

[Carlo Jörges]

Hi,

was wondering if someone had an idea how to solve this problem using paperjs — I'm trying to find tangents of a path that pass through a given point (Point A). In the attached drawing I am looking for Point B & C, while Point A and the Path are known. 

Any help is appreciated 🙏

[M M]

Is the path a mathematical formula (so you could calculate the minima)?  Or is it just a more or less randomly drawn path (so you’re looking for the visual bottom of the curve)?

[Carlo Jörges]

I'm looking to solve it for any given paperjs path object. Essentially what I'm trying to do is draw a long extrusion of a shape towards a vantage point. 

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[M M]

Every path has a curves array.  You can use CurveLocation with neighboring items in the curves array to traverse the curve and get individual points on the curve.  Then just draw straight lines from these points to your vanishing point.