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In September 1777, Ru{\dj}er Bo\v{s}kovi\'c observed sunspots for six days.Based on these measurements, he used his own methods to calculate the elementsof the solar rotation, the longitude of the node, the inclination of the solarequator and the period. He published a description of the methods, the methodof observation and detailed instructions for calculations in the second chapterof the fifth part of the Opera in 1785. In this paper, Bo\v{s}kovi\'c originalcalculations and repeated calculations by his procedure are published. Byanalysing the input quantities, procedures, and results, the input quantitiesof the error, and the calculation results are discussed. The reproduction ofBo\v{s}kovi\'c calculations is successfully reproduced and we obtained verysimilar results. The conclusion proposes a relationship of Bo\v{s}kovi\'cresearch with modern astronomy.

On the Determination of the Solar Rotation Elements i, {\Omega} and Period using Sunspot Observations by Ru{\dj}er Bo\v{s}kovi\'c in 1777