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theodolite: surveying instrument for measuring horizontal angles, and perhaps vertical angles, see article on the theodolite.
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theodolite and sundial: an instrument combining the functions of a sundial and a theodolite.
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throne: part of an astrolabe, connecting the instrument to the suspension shackle, see article on the astrolabe.
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triangulation: surveying technique involving the measurement of a baseline, the location of other stations by taking angles from either end, and perhaps the extension of the survey through the addition of further triangles.
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triangulation instrument: instrument with three jointed arms with scales for surveying or range-finding, see article on the triangulation instrument.
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trigonus: triangular element in the type of altitude dial known as the 'organum Ptolemai'.
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tripod base: base of a tripod (three-legged support) on which to stand an instrument.
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tripod legs: legs of a tripod (three-legged support) on which to stand an instrument.
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