Wiktionary
n. (context now historical English) The Austrian areas of Austria-Hungary, to the west of the River Leitha.
Wikipedia
Cisleithania (, also Zisleithanien, , , , , , , , , transliterated: Tsysleitàniia) was a common yet unofficial denotation of the northern and western part of Austria-Hungary, the Dual Monarchy created in the Compromise of 1867—as distinguished from Transleithania, i.e. the Hungarian Lands of the Crown of Saint Stephen east of ("beyond") the Leitha River.
The Cisleithanian capital was Vienna, the residence of the Austrian emperor. The territory had a population of 28,571,900 in 1910. It reached from Vorarlberg in the west to the Kingdom of Galicia and Lodomeria and the Duchy of Bukovina (today part of Poland, Ukraine and Romania) in the east, as well as from the Kingdom of Bohemia in the north to the Kingdom of Dalmatia (today part of Croatia) in the south. It comprised the current States of Austria (except for Burgenland), as well as most of the territories of the Czech Republic and Slovenia (except for Prekmurje), and parts of Italy ( Trieste, Gorizia and Trentino-Alto Adige/Südtirol), Croatia ( Istria, Dalmatia) and Montenegro ( Kotor Bay).