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This lecture covers the theodolite, a surveying instrument used to measure angles. It explains the components of the theodolite, such as the sighting telescope, vertical and horizontal circles, and leveling devices. The calibration process involves adjusting the instrument to ensure accuracy. The lecture also demonstrates how to set up the theodolite on a fixed point, emphasizing the importance of achieving vertical alignment. Additionally, it discusses measuring instrument height and angles, including horizontal and vertical angles. The lecture concludes with examples of angular measurements using the theodolite, highlighting the significance of zenith angles and height angles.