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This paper focuses on the observations of sunspots made by Ru{\dj}erBo\v{s}kovi\'c in 1777. We derived the expressions needed to calculate theelements of the Sun's rotation and period from observations. We used modernephemeris data in the processing of the observation results. Obtained resultsare very similar to Bo\v{s}kovi\'c's original calculations. In addition tohistorical significance, they also provide scientifically valuable data on theSun's differential rotation, which plays a significant role in generating andmaintaining solar magnetic activity.

Determination of the Solar Rotation Elements and Period from Ru{\dj}er Bo\v{s}kovi\'c's Sunspot Observations in 1777