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AR15.COM
3/1/2017 7:47:12 PM EDT
Working on a little project, and I'm trying to figure out how to accomplish this.

Given a series of X,Y coordinates and a range, but no vector, how can I triangulate a point?

I have the following ones, and can have as few or as many datapoints as I require to do this.

The following is: X, Y: Range

77, -65: 19 units
67, -65: 9 units
62, -65: 10 units
62, -55: 6 units
57, -55: 11 units
60, -60: 7 units
60, -55: 8 units
3/1/2017 7:56:34 PM EDT
[#1]
Been a long time, but if you have rectangular coordinates, the polar coordinates can be calculated. hth
3/1/2017 7:56:52 PM EDT
[#2]
Are you saying that X,Y is a position, and that the range is how far away from that position the point you're looking for is?

Edit
If that's the case, then it looks like this:
Attached File

The two yellow points are 58,-65 and 67,-55, but all eight circles don't line up to one point
3/1/2017 8:00:14 PM EDT
[#3]
Plot each point, draw a circle around it of the correct radius. Where the circles cross are the possible locations.
3/1/2017 8:04:47 PM EDT
[#4]
graphically, you'd draw circles of "range" radius centered on those x,y points and see where the circles intersect.

as a calculation/number sieve problem, you could solve simultaneous equations for any two of your point sets to find the x,y coordinate that satisfied both equations.
3/1/2017 8:05:21 PM EDT
[#5]
What do you mean by range?  Magnitude?  are you trying to find the angle to the given point from the origin?
3/1/2017 9:19:46 PM EDT
[#6]
Found it: Manhattan Distance Function.