Course Details

Geodesy 1

Academic Year 2026/27

BEA003 course is part of 1 study plan

​ BPC-GK Winter Semester 1st year

Elementary terms related to geodesy and geodetic basics, measuring of directions and angles, direction in space and its components- horizontal and vertical direction, experiments for measuring – theodolite’s construction and construction of its parts, measuring methods of horizontal, vertical directions (angles), errors of measured directions and angles.

Centering of measured directions and angles.

Measuring of distances with tape. Indirect trigonometric distance measurement. Electronic distance meters, Indirect optical and parallactic distance measuring methods. Errors and accuracy of measured distances.

Conversion of measuring data to plane of reference.

Processing of geodetic data – basic coordinate computation.

Fundamentals of Instrumental Optics.

Credits

8 credits

Language of instruction

Czech

Semester

winter

Course Guarantor

Ing. Jiří Vondrák, Ph.D.

Institute

Institute of Geodesy

Forms and criteria of assessment

course-unit credit and examination

Entry Knowledge

Elementary knowledge of mathematics, geometry, physics ang geographic. Basic knowledge of terminology and descriptions of the landscape orientation in the field.

Aims

Getting an overview of subjects of geodesy. Acquaintance with basic principles, methods and processing of geodetic angle and distance measurements.
Student gets an overview of geodesy. Acquaintance with basic principles, methods and processing of geodetic angle and distance measurements. Student gets an overview of terminology for consequential courses.

Basic Literature

TORGE, Wolfgang: Geodesy, de Gruyter, Berlin, 2001, ISBN 978-3-11-087995-7 (en)
Paul R. Wolf, Charles D. Ghilani: Elementary Surveying - an introduction to geomatics, Upper Saddle River, NJ. Prentice-Hall 2002. (en)
Vaniček, P., Krakivsky, E.: Geodesy: The Concepts, NorthHolland, Amsterdam 1980. (en)
Banerjee, P. P., Ting-Chung Poon: Principles of applied optics, Homewood, Aksen Associates Incorp.Irwin, 1991 (en)
IRVINE, William: Surveying for Construction, London: McGraw-Hill, 1995, ISBN 978-0077079987 (en)
Ratiborský,J.: Geodézie, ČVUT Praha, 1998 (cs)
FORAL, Jakub a VONDRÁK, Jiří: Geodetická příručka – část I, úhly, délky a výšky, 2007 (cs)
FORAL, Jakub, KALVODA, Petr, KRATOCHVÍL, Richard, ŠVÁB, Tomáš a VONDRÁK, Jiří: Geodetická příručka, část II, výpočty, mapy, katastr nemovitostí, fotogrammetrie, GPS, 2008 (cs)
CARY, Edward Richard: Geodetic Surveying, 2016, 978-1362594871 (en)
Nařízení vlády č. 159/2023 Sb. o stanovení geodetických referenčních systémů a státních mapových děl závazných na území státu a zásadách jejich používání, v platném znění, 2023 (cs)
Terminologický slovník zeměměřictví a katastru, dostupné z: https://www.slovnikcuzk.eu/ (cs)
Vyhláška Č. 31/1995 Sb.: kterou se provádí zákon č. 200/1994 Sb., o zeměměřictví a o změně a doplnění některých zákonů souvisejících s jeho zavedením, ve znění pozdějších předpisů (cs)

Recommended Reading

Nevosád, Z., Soukup, F., Vitásek, J.: Gedodézie II, VUTIUM Brno, 1999 (cs)
Evropský parlament: Směrnice Evropského Parlamentu a Rady 2007/2/ES, 2007 (cs)
STANĚK, Vlastimil a HOSTINOVÁ, Gabriela a KOPÁČIK Aloiz: Geodézia v stavebníctve, 2007, ISBN 978-80-8076-048-9 (sk)
Abelovič, J. a kol.: Meranie v geodetických. sieťach, ALFA Bratislava, 1990 (sk)
Hradílek, L.: Vysokohorská geodézie, Academia Praha, 1984 (cs)

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/303338

Lecture

13 weeks, 4 hours/week, elective

Syllabus

  • 1. Elementary terms and principles of geodesy.
  • 2. Simple measuring tools and working with them, basic marking of a horizontal plane (levels), vertical (plumb and string), straight lines (especially "by eye") and right angles.
  • 3. Total station and theodolite – constructional parts, instrument optics.
  • 4. Measurement of horizontal directions and angles.
  • 5. Geometric optics, fundamentals of wave optics.
  • 6. Principles and methods of length measurement, tape length measurement, overview of previously used optical methods of length measurement (especially parallactic angle).
  • 7. Electronic measurement of lengths (electronic distance meters, total stations), indirect trigonometric measurement of lengths.
  • 8. Basics of cartographic projection, coordinate systems, conversion of measured quantities to a reference surface (to the plane of cartographic display).
  • 9. Coordinate computation.
  • 10. Orientation displacement and its use (including verification of the identity of points), intersection from angles, lengths and oriented directions (including intersection from oriented directions).
  • 11. Back intersection, orthogonal method and other methods of determining point coordinates - measured elements and calculation.
  • 12. Polygons, measurement technology and processing of measured data.
  • 13. Transformations in the plane (primarily similarity, similarity and affine).
  • The full set of lectures for the course is available in electronic form on the Moodle LMS.

Exercise

13 weeks, 4 hours/week, compulsory

Syllabus

  • 1. Introductory concepts and information on geodesy, plane trigonometry, angular units and conversions between them.
  • 2. Simple surveying tools and their use; basic setting out of a horizontal plane (spirit levels), vertical line (plumb bob and plumb line), straight lines (especially "by eye"), and right angles.
  • 3. Total station – components and operation.
  • 4. Instrument setup at the station (centering and leveling).
  • 5. Measurement of horizontal directions and angles.
  • 6. Principles and methods of distance measurement, distance measurement using a total station, total station configuration, and prism constant verification.
  • 7. Coordinate systems; conversion of measured quantities (distances) to the reference surface (or map projection plane).
  • 8. Grid bearing (transformation of rectangular coordinates to polar). Point positioning (including measurement) via traverse (transformation of polar coordinates to rectangular).
  • 9. Measuring a set of directions over longer distances; orientation shift and its application (point identity verification).
  • 10. Determination (including measurement) of a free station (traverse with orientation at the unknown point, resection by distances).
  • 11. Calculation of setting-out elements from coordinates; setting out a rectangular object.
  • 12. Orthogonal method; determining point position relative to a survey line and a perpendicular offset.
  • 13. Planar transformations (primarily rigid-body, similarity, and affine transformations).
  • The full lecture course is available electronically via the Moodle LMS, including... a series of calculation examples and demonstrations of possible solutions.