What did contemporary countries in Europe call the Ottoman Empire?

Question

In present texts, it is common to call it "the Ottoman Empire", although the name refers to the ruling dynasty rather than the nation, people or the region. This is not the case with other contemporary empires in Europe, e.g. Russian Empire, Austrian Empire, French Empire. Were they also contemporarily called "the Ottoman Empire" in diplomacy and official writing, or by other name like "Turkey" or "Turkish Empire"?

Answer 1

http://avalon.law.yale.edu/19th_century/ot1862.asp

Here is a link to a treaty between the United States and the Ottoman Empire in 1862. The text of the treaty refers to them as the "Ottoman Empire."

http://www.fas.nus.edu.sg/hist/eia/documents_archive/karlowitz.php

Perhaps a more revealing example from 1699, the Treaty of Karlowitz, which ended the Ottoman invasion of the southern parts of the Holy Roman Empire, refers to the Ottoman Empire by name several times in the treaty. They also refer to the Ottoman leader a few times as "the Sultan of the Turks." Generally, diplomatically, they were referred to as the Ottoman Empire by the Europeans and the Americans. When speaking of the people which the governed, they would be referred to as the ruler of the 'Turks', despite the diverse ethnic makeup of the empire at the time.