In the following image, the bright green arc intersects the two (pink) conical surfaces:

Given the geometry of the cones and the axis and radius of the arc, how can I calculate the 3D coordinates of the point(s) of intersection?

Thanks.

1 | initial version |

In the following image, the bright green arc intersects the two (pink) conical surfaces:

Given the geometry of the cones and the axis and radius of the arc, how can I calculate the 3D coordinates of the point(s) of intersection?

Thanks.

In the following image, the bright green arc intersects the two (pink) conical surfaces:

Given the geometry of the cones and the axis and radius of the arc, how can I calculate the 3D coordinates of the point(s) of intersection?

Thanks.

In the following image, the bright green arc intersects the two (pink) conical surfaces:

Thanks.

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