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

CONTENTS.
CHAPTER I.
SPHERICAL GEOMETRY.
PAGE.
SECTION I.-Preliminary Propositions and Definitions,. 1
Definitions of Sphere,... 1,, Centre of Sphere,.. 1,, Radius.... 1
Diameter,..... 1
Curve of intersection of sphere and plane,.. 2
Poles of circles defined,... 3
Small circles and great circles defined,.. 3
Intersection of two spheres,....... 3
Secondary circles defined,.... 4
Spherical radius,.... 4
Only one great circle through two points, not diametrically
opposite,.... 4
Locus of points of sphere equidistant from two fixed points on
sphere,...... 5
Two great circles bisect each other,.. 5
Angle of intersection of two circles on sphere defined,.. 6
", of two great circles is equal to the inclination of their planes,........ 6
To find the radius of a solid sphere,..... 6
Analogy between the geometry of the sphere and the plane,. 7
Exercises I.,.... 8
SECTION II.-Spherical Triangles,... 9
Spherical triangle defined,....... 9
Correspondence between a solid angle and a spherical triangle,. 9
Lune defined,......... 10
Colunar triangles,.... 10