Find the intersection of 3 points with given angle

[MihaelR]

Hi All,

I have something what I think is quite difficult to achieve in PC-DMIS. I have 3 points and need the intersection between these points with a certain angle. I have attached a picture which describes what I want. Has anyone experience with this?

[Hi-Tech Redneck]

I'm not an expert and what I'm about to say may not even be possible, but...
If you know the location of the three points and also the three angles, couldn't you figure out the vectors and construct three lines using each of the points as the start of each line and use "Specify theos" to make the lines run the way you need them to and then create the intersection?

[Jim Poehler]

That's how I would approach it.

[VinniUSMC]

Are the points static, or somehow locked in relation to one another? If one point is off of location on the arc compared to the others, then it may not be solvable into a single intersection point. Is there a tolerance on the angles at the point?

[JEFMAN]

I would try constructing the triangle through the points, then construct the heights (lines perp to the opposite vertex, through the vertex), and look at the result...
I think it's the centroid of the triangle, not sure of it...

[Mike Ruff]

That is not the centroid. The centroid is 2/3 of the way from one corner to the CENTER of the opposite side, not normal to the opposite side

[JEFMAN]

Right !
This is the difference between height and medians...

[UKCMM]

As has been stated it is unlikely that you can resolve this to a single point if the angles are fixed and the points movable. So I am going to make an assumption that the angles have a tolerance on that basis my approach would be.

Create generic lines at the given angles from the points.

The lines will most likely now form a small triangular intersection zone unless the features are perfect.

I would now construct a tangent inside circle using the 3 lines.

Now construct 3 new lines from the points to the constructed circle.

This will spread any angular error between the 3 angles.