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-.\" @(#)geodesic.3
-.\"
-.TH GEODESIC 3 "2020/01/01 Rel. 6.3.0"
-.ad b
-.hy 1
-.SH NAME
-.B geod_init
-\- initialize an ellipsoid
-.br
-.B geod_direct geod_gendirect
-\- the direct geodesic problem
-.br
-.B geod_inverse geod_geninverse
-\- the inverse geodesic problem
-.br
-.B geod_lineinit geod_directline geod_gendirectline geod_inverseline
-\- initialize a geodesic line
-.br
-.B geod_setdistance geod_gensetdistance
-\- set distance to reference point
-.br
-.B geod_position geod_genposition
-\- a position on a geodesic line
-.br
-.B geod_polygon_init
-\- initialize a polygon
-.br
-.B geod_addpoint geod_addedge
-\- add to a polygon
-.br
-.B geod_polygon_compute geod_polygon_testpoint geod_polygon_testedge
-\- compute properties of polygon
-.br
-.B geod_polygon_clear
-\- clear polygon
-.br
-.B geod_polygonarea
-\- the area of a polygon
-.br
-.SH SYNOPSIS
-.nf
-#include <geodesic.h>
-.br
-and link against the \fBproj\fR library.
-.SH DESCRIPTION
-This library is a port of the geodesic routines in the C++ library,
-GeographicLib, to C.  It solves the direct and inverse geodesic problems
-on an ellipsoid of revolution.  In addition, the reduced length of a
-geodesic and the area between a geodesic and the equator can be
-computed.  The results are accurate to round off for |\fIf\fR| < 1/50,
-where \fIf\fR is the flattening.  Note that the geodesic routines
-measure angles (latitudes, longitudes, and azimuths) in degrees, unlike
-the rest of the \fBproj\fR library, which uses radians.  The
-documentation for this library is included in geodesic.h.  A formatted
-version of the documentation is available at
-https://geographiclib.sourceforge.io/1.50/C.  Detailed documentation of
-the interface is given at
-https://geographiclib.sourceforge.io/1.50/C/geodesic_8h.html.
-.SH EXAMPLE
-The following program reads in lines with the coordinates for two points
-in decimal degrees (\fIlat1\fR, \fIlon1\fR, \fIlat2\fR, \fIlon2\fR) and
-prints out \fIazi1\fR, \fIazi2\fR, \fIs12\fR for the geodesic line
-between each pair of points on the WGS84 ellipsoid.  (N.B. \fIazi2\fR is
-the forward azimuth at point 2.)
-.nf
-\f(CW
-
-#include <stdio.h>
-#include <geodesic.h>
-
-int main() {
-  double a = 6378137, f = 1/298.257223563; /* WGS84 */
-  double lat1, lon1, azi1, lat2, lon2, azi2, s12;
-  struct geod_geodesic g;
-
-  geod_init(&g, a, f);
-  while (scanf("%lf %lf %lf %lf",
-               &lat1, &lon1, &lat2, &lon2) == 4) {
-    geod_inverse(&g, lat1, lon1, lat2, lon2,
-                 &s12, &azi1, &azi2);
-    printf("%.8f %.8f %.3f\en", azi1, azi2, s12);
-  }
-  return 0;
-} \fR
-.br
-.fi
-.SH LIBRARY
-libproj.a \- library of projections and support procedures
-.SH SEE ALSO
-Full online documentation for \fBgeodesic(3)\fR,
-.br
-https://geographiclib.sourceforge.io/1.50/C
-.br
-https://geographiclib.sourceforge.io/1.50/C/geodesic_8h.html
-.PP
-.B geod(1)
-.PP
-\fBGeographicLib\fR, https://geographiclib.sourceforge.io
-.PP
-The \fBGeodesicExact\fR class in GeographicLib solves the geodesic
-problems in terms of elliptic integrals; the results are accurate for
-arbitrary \fIf\fR.
-.PP
-C. F. F. Karney, \fIAlgorithms for Geodesics\fR,
-.br
-J. Geodesy \fB87\fR, 43-55 (2013);
-.br
-DOI: https://doi.org/10.1007/s00190-012-0578-z
-.br
-https://geographiclib.sourceforge.io/geod-addenda.html
-.PP
-\fIA geodesic bibliography\fR,
-.br
-https://geographiclib.sourceforge.io/geodesic-papers/biblio.html
-.PP
-The Wikipedia page, \fIGeodesics on an ellipsoid\fR,
-.br
-https://en.wikipedia.org/wiki/Geodesics_on_an_ellipsoid
-.SH BUGS
-A list of known bugs can found at https://github.com/OSGeo/PROJ/issues
-where new bug reports can be submitted too.
-.SH HOME PAGE
-https://proj.org/