There is an sample to compute a ellipsoid line length using TsGeo.
The Vincenty's formula is used.
import {Coordinate} from "tsgeo/Coordinate";
import {Vincenty} from "tsgeo/Distance/Vincenty";
/* Add the following in a method of TS class */
let line = new Line(
new Coordinate(52.5, 13.5),
new Coordinate(52.6, 13.4)
);
console.log(line.getLength(new Vincenty())); // returns 13013.849
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