Before taking a position of professor of mathematics at the university, he went at the end of January 1775 to Paris, to study for a half year, and then visited the Netherlands and England.

After his return to Mainz, he began to lecture, but was also in the military service and civil administration, gradually acquiring more responsibility and authority as he became a lieutenant colonel and director of hydraulics.

The 1790 campaign against the insurgents of Liege was made; Eickemeyer also commanded the Elector's army, but by then it required so little of his time that he was able to resolve an engineering problem for the Munich Academy.

The key figure, the Holy Roman Emperor Leopold II, brother to the French Queen Marie Antoinette, had initially looked on the Revolution calmly.

Work proceeded slowly, despite the launching of the campaign by the Holy Roman Emperor and the King of Prussia against the French Republic.

...One of our columns ... marched to within cannon shot of the town; the troops of Mainz, who lined the advanced works, fired and wounded few men.

This operation complete, the howitzer batteries opened fire on the fort Hauptstein and the body of the place; but they were only field guns, and as the fortifications that surround the main forum for Mainz are very extensive, we quickly recognized the impossibility to wear down the city using six inch shells.

These three dignitaries of the ecclesiastical court argued that it was necessary to defend Mainz, but the governor, the Prussian Minister and members of the Electoral body held a contrary opinion.

[4] Eickemeyer, who was fluent in French, went to Custine's headquarters with a sealed letter requesting the unrestricted emigration of individuals, and the pursuit of business as usual.

Custine would not hear of such an offer, so Eickemeyer was obliged to hand over the Elector's letter, and bring an answer back to the city.

He returned to the French camp a second time with a detailed contract; the fortress surrendered and the garrison agreed not to serve for a year against France.

A week after the surrender of the fortress, he sent a letter to the Elector of Mainz, Karl Theodor von Dalberg and returned his officer's commission.

Under the new of the Grand Duchy of Hesse, the successor to the Imperial Mainz, he was elected as a member of the provincial council of Rheinhessen; his health had gradually weakened, and he could not finish his participation in the creation of the new Constitution, and he died in Gau-Algesheim on 9 September 1825.