Finding a New GPS Coordinate Between Two Lines on a Sphere

AI Thread Summary
The discussion revolves around finding a new GPS coordinate that lies on a line intersecting one of three given coordinates on a spherical surface. The user seeks to create a new line with a gradient between two existing lines formed by the coordinates. A participant suggests identifying a midpoint between two of the coordinates to establish the new line, which effectively addresses the user's request. The conversation emphasizes maintaining the spherical nature of the Earth while working with GPS coordinates. The proposed solution is straightforward and highlights the importance of triangulation on the sphere for similar problems.
frostfat
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Hi, I have an interesting problem.

I have three GPS coordinates, creating two lines across the surface of a sphere (assuming the Earth is spherical). I want to be able to create a new line (across the surface of a sphere) with a gradient that is in between the gradient of the two existing lines, and intersects with one of the coordinates.

On this new line, I want to find a new coordinate, which I can use to represent the new curve. The result should be the new coordinate, not the equation of the new curve.

https://docs.google.com/drawings/d/1p9P3dzvI_shRHTEI0rxvundkW5Mvij1CRsbIlx2uGAU/edit?usp=sharing, not representing the curved nature of the sphere. All lines are to be crossing the surface of the globe, and maintaining the GPS structure.

Thanks in advance for any help! :)
 
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I am curious: three GPS coodinates will create three lines, not two - one for each pair of points.
Of the three, what makes the upper right point special?I'm going to label your points, clockwise from upper right.
x0y0, x1y1, x2y2.

To bisect lines x0y0, - x2y2 and x1y1 - x0y0,
simply create a point x3y3 midway between x1y1 and x2y2.
Now draw your new line from x0y0 - x3y3
 
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Likes jim mcnamara and frostfat
This is exactly what I was looking for, thanks for such a simple but effective answer.
 
I suggest you to consider the problem of generate appropriate triangulations on the sphere ...
 
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