A treatise on spherical trigonometry, and its application to geodesy and astronomy, with numerous examples. By John Casey.

INDEX.
ALLMAN, Professor, 131.
Altitudes of a spherical triangle, 23, 26.
--- of a heavenly body, 150, 151, 152, 153, 154.
Ambiguous case, 58, 59.
Analogies between the geometry of the plane and sphere, 7.
- Breitschnieder's, 47.
-- Delambre's or Gauss's, 40, 41, 43, 47, 65.
--- - Napier's, 39, 65.
----- Reidt's, 41, 59.
Angle (the hour angle), 152.
-— dihedral, 133, 134, 139, 141, 142.
— horizontal, 143, 145.
-- of intersection of two circles, 6, 18, 123, 125.
- - solid, 10, 19, 127, 133, 138, 140.
of a chordal triangle, 144.
- - of a spherical triangle, 12.
Anharmonic ratio, 68, 69, 71, 75, 110.
Annales Nouvelles, theorems from, 43, 45, 90, 95, 136.
Antipodal triangles, 10, 13, 93.
Area of a lune, 15.
- of a spherical polygon, 17, 97.
-- of a spherical quadrilateral, 127.
-- of a spherical triangle, 16, 93, 95, 147, 148.
Aries, first point of, 151, 153.
Ascension, right, 150, 152, 153, 155.
Astronomy, definitions of, 149.
----- exercises on, 152.
-- - problems on, 151.
Axis of a circle, 4.
-- of similitude, 104.
Azimuth, 150, 151, 152, 153.
Baltzer on Napier's ules, 36.
Barbier, theorems by, 45.
Breitschneider, theorems by, 47.
Brianchon, theorem by, 111.
Briot et Bouquet, method of using tables, 48.
M