Signedon dial, engraved: Benj. Pike Jr. / 294 Broadway / New York
FunctionThe surveyor's compass is an instrument used in surveying (or in navigation in rare cases) to measure horizontal angles, what is called bearing or azimuth.
For a nice discussion of this intrument, see the following website.
Primary SourcesBenjamin Pike Jr., Pike's Illustrated Descriptive Catalogue of Optical, Mathematical, and Philosophical Instruments, 2 vols. (New York: Benjamin Pike, Jr., 1856) 2: 60-64.