In the course of a study of calaverite it was found necessary to compare G. F. Herbert Smith's2 three-circle measurements with other series of measurements made on two-circle instruments. The co-ordinate angles obtained on the two types of goniometers are not directly comparable; but the relations, when found, are simple and either set of angles can be rapidly converted into the other by short logarithmic operations. The necessity of making such conversions may not occur again, but since the relations of the two types of measurements have not been emphasized before the present note may have theoretical interest.

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