# How can I plot various points on a world map and compare distances?

How can I plot various points on a world map and compare distances? For example, the distance between Jerusalem and Westford, MA compared to the distance between Westford, MA and Recife, Brasil? Then for a triangulation of the three points and measure the difference of distance between the three points?

### Entering Cities as Entities

For the cities, the following can be used

wes = Entity["City", {"Westford", "Massachusetts", "UnitedStates"}]
jer = Entity["City", {"Jerusalem", "Jerusalem", "Israel"}]
rec = Entity["City", {"Recife", "Pernambuco", "Brazil"}]


These input forms can be discovered by evaluating, for example, InputForm @ Ctrl= Recife, where Ctrl= means the control key + equal sign.

### Plotting with GeoMarkers

Use GeoMarkers for plotting the city locations. Use GeoPath for the paths. See the documentation for the various path options.

GeoGraphics[{GeoMarker /@ {wes, jer, rec},
GeoPath /@ Subsets[{rec, jer, wes}, 2]}]


Check the documentation on GeoGraphics and GeoRange for how to zoom out.

### Distance

Use GeoDistance for the distance between the cities.

GeoDistance[wes, jer]   (*  Quantity[5526.35, "Miles"]  *)

• +1 To include tooltips: GeoGraphics[{Tooltip[GeoMarker[#], #] & /@ {wes, jer, rec}, Tooltip[GeoPath@#, GeoDistance @@ #] & /@ Subsets[{rec, jer, wes}, 2]}] // Quiet Dec 9 '20 at 14:31
• Thanks for the responses, LouisB and Bob Hanlon. Dec 10 '20 at 23:23