where did the ottoman empire extend to at its peak
Ottoman Empire During the 16th and 17th centuries, at the height of its power under the reign of Suleiman the Magnificent,[12] the Ottoman Empire was a multinational, multilingual empire controlling most of Southeast Europe, parts of Central Europe, Western Asia, parts of Eastern Europe and the Caucasus, North Africa and the Horn of Africa.[13] At the beginning of the 17th century, the empire contained 32 provinces and numerous vassal states. Some of these were later absorbed into the Ottoman Empire, while others were granted various types of autonomy during the course of centuries.[note 6]
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Constantinople Constantinople was the largest and richest urban center in the Eastern Mediterranean Sea during the late Eastern Roman Empire, mostly as a result of its strategic position commanding the trade routes between the Aegean Sea and the Black Sea. It would remain the capital of the eastern, Greek-speaking empire for over a thousand years. At its peak, roughly corresponding to the Middle Ages, it was the richest and largest European city, exerting a powerful cultural pull and dominating economic life in the Mediterranean. Visitors and merchants were especially struck by the beautiful monasteries and churches of the city, in particular, Hagia Sophia, or the Church of Holy Wisdom: A Russian 14th-century traveler, Stephen of Novgorod, wrote, "As for Hagia Sophia, the human mind can neither tell it nor make description of it."
Limit of a function (the Dirichlet function) has no limit at any x-coordinate.