# Rhumb lines intersection

I looking for algorithm how to find out whether two rhumb lines given by point1 with azimuth1 and point2 with azimuth2 have intersecting point. Have anyone idea how to find intersection ?

For example:

point1 = Latitude = 54.243694767757674, Longitude = -2.0064940902720076 bering1 = 36 degrees

point2 = Latitude =54.168824307242112, Longitude = -1.6983087834266664 bering2 = 301 degrees

I know that rhumblines of these for 100 % have intersect (second is n the other hemisphere)

-
Because a rhumb line on a Mercator map is a straight line angled at the given bearing, isn't the answer to whether they intersect obvious? They intersect if they have different bearings or they coincide; otherwise not. Are you perhaps looking for a way to compute the coordinates of their intersection when it does exist? If so, what level of accuracy do you need? For instance, the formulas for the Mercator projection on an ellipsoidal datum are relatively complicated compared to a spherical datum but they will be a little more accurate. – whuber Apr 24 '13 at 14:51