Although the methods of photogrammetrical surveying have made a remarkable progress in recent years, yet the methods of traditional ground surveying are necessary not only for the control points surveying of aerotriangulation and for the setting-up of the designed dimensions on the actual ground, but also especially for the geodetic precise surveying of the ground specific points.
Up to this time, among the instrumental errors of the surveying telescopes, it is the observation errors due to the deviation of cross-hairs in reticule, and their adjustment problems, that have come often into question in the civil engineering circles. But, on account of the condition of the development of the surveying instruments in Japan in those days, all the papers in the past on these subjects were concerned to the adjustments of the cross-hairs in the external focussing telescopes, not to the internal focussing telescopes, and there has never been one dealing with the functional relation between the deviation of cross-hairs and the collimation errors. However, from a geodetic precise surveying point of view, it is very important to investigate and to clarify the functional relation between the deviation of cross-hairs end the collimation errors as well as their adjustments, otherwise it would not be possible at all to perform the right adjustments of errors.
In this paper, from the above points of view, the author has analytically investigated the shape of locus of collimation points in various surveying telescopes and has clarified the functional relation between the deviation of cross-hairs and the collimation errors, and furthermore, has verified the correctness of his opinions through the indoor and outdoor experiments.
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