1. OBJECTIVES

• To give students the knowledge on surface and spherical trigonometry. To teach student how to use them as the tools for solving surveying problems.

2. TOPICS

• Trigonometric functions; basic forms of trigonometric;
• Trigonometric in a surface: law of sine and cosine, law of tangent: relations between elements in surface triangle. Solving surface triangle and quadrangle;
• Use of surface trigonometry in surveying: coordination computation; computation of bearing and length; computation of open traverse; orientation of direction;
• Spherical trigonometry, basic terms, historical overview;
• Spherical triangle, properties, relations between elements in spherical triangle; law of cosine for sides and angles, law of sine, formulas for the "half-angles" and sides, Mollweid equations, Napier's equations;
• Solving general spherical triangle, rectangular and equilateral spherical triangle, Napier's law;
• Use of trigonometry in surveying: Earth as a sphere, the first and the second surveying task on a sphere.

• Practical examples of calculations in trigonometry: solving surface and spherical triangles; computation of bearings, computation of open traverse, orientation of direction;
• The first and the second surveying task on a sphere.

3. LINKAGE WITH OTHER SUBJECTS

• Knowledge of high-school mathematics.

• Students need the acquired knowledge for the subjects Surveying 1, Surveying 2, Geodesy, Geodetic astronomy with satellite geodesy.

4. STUDY MATERIAL AND REFERENCES

• Kilar B. Sferna trigonometrija z uporabo v geodeziji, FAGG Ljubljana, 1994.
• Hanžek Z. Sferna trigonometrija, Zagreb, 1967.
• Justinijanović J. Sferna trigonometrija, Tehnička knjiga, Zagreb, 1956.
• Beseničar J. Geodetski računi, FAGG, Ljubljana, 1985.

5. ENGAGEMENT OF STUDENTS