Find the shortest path between two points; find the
curve that crosses each meridian at the same angle

`azimuth` |
Azimuth between points on sphere or ellipsoid |

`departure` |
Departure of longitudes at specified latitudes |

`distance` |
Distance between points on sphere or ellipsoid |

`gc2sc` |
Center and radius of great circle |

`gcxgc` |
Intersection points for pairs of great circles |

`gcxsc` |
Intersection points for great and small circle pairs |

`meridianarc` |
Ellipsoidal distance along meridian |

`meridianfwd` |
Reckon position along meridian |

`reckon` |
Point at specified azimuth, range on sphere or ellipsoid |

`rhxrh` |
Intersection points for pairs of rhumb lines |

`track1` |
Geographic tracks from starting point, azimuth, and range |

`track2` |
Geographic tracks from starting and ending points |

`trackg` |
Great circle or rhumb line defined via mouse input |

`trackui` |
GUI to display great circles and rhumb lines on map axes |

**Calculate Intersection of Rhumb Line Tracks**

This example shows how to calculate the intersection of rhumb lines using the `rhxrh`

function.

**Calculate Intersections of Arbitrary Vector Data**

This example shows how to calculate the intersections of arbitrary vector data, such as polylines or polygons, using the `polyxpoly`

function.

A great circle defines the shortest path between two points along the surface of a sphere.

A rhumb line is a curve that crosses each meridian at the same angle.

Azimuth is the angle a line makes with a meridian, measured clockwise from north.

**Positions, Azimuths, Headings, Distances, Length, and Ranges**

Several angular and linear quantities express the distance between two points on a sphere.

**Reckoning — The Forward Problem**

Reckoning is the determination of a destination given a starting point, an initial azimuth, and a distance.

**Distance, Azimuth, and Back-Azimuth (the Inverse Problem)**

Distance and azimuth are calculated from the position of two points in geometric space.

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