API Reference > geometry-core > CartesianGeometry > GeodesicPathSolver > approximateMinimumLengthSectionArc approximateMinimumLengthSectionArc MethodStatic Construct various section arcs (on the ellipsoid), using planes that (a) pass through the two given points and (b) have in-plane vector sampled between the normals of the two points. Each candidate ellipse has is in a plane with ellipsoid normal at vector constructed "between" the endpoint normals. The intermediate construction is by interpolation between stated fractions (which maybe outside 0 to 1) approximateMinimumLengthSectionArc(ellipsoid: Ellipsoid, angleA: LongitudeLatitudeNumber, angleB: LongitudeLatitudeNumber, numSample: number, normalInterpolationFraction0: number, normalInterpolationFraction1: number): { minLengthArc: Arc3d, minLengthNormalInterpolationFraction: number } | undefined Parameter Type Description ellipsoid Ellipsoid angleA LongitudeLatitudeNumber start point of all candidates angleB LongitudeLatitudeNumber end point of all candidates numSample number number of ellipses to construct as candidates. normalInterpolationFraction0 number normalInterpolationFraction1 number Returns - { minLengthArc: Arc3d, minLengthNormalInterpolationFraction: number } | undefined Defined in core/geometry/src/geometry3d/Ellipsoid.ts Line 1160 Last Updated: 13 June, 2024