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They controlled Muslim lands economically, tecnologically,and/or through military attacks.
They fear the rise of the Islamic empire again.For mainly three reasons:to block the spread of Islam as many non Muslims convert into Islamto get hands on the natural resources of these countries as oil, natural gas, minerals, ...to falsify the history of those countries and spoil their traditions
Albania, Azerbaijan, Kazakhstan, Kosovo, and Turkey are the only European countries who are majority Muslim.
they took advantage by exploiting religion
There are not that many European Muslim countries. The three most important of them are Albania, Kosovo, and Bosnia & Herzegovina. North of Albania and Kosovo is Serbia and Montenegro. North of Bosnia is Croatia.
Remove all western ideas from nations who were Muslim
To circumvent the costly overland trade which required them to trade with the Muslim world (the Middle East).
Under Papal wishes, the Kings of many Western European nations went/sent armies to 'regain' the Holy Land from the Muslim invaders.
European merchants learned techniques on how to manufacture paper from their Muslim counterparts.
No. A Muslim cannot use the money of bank interest so they can give it away to others or use banks that do not give interest.
The European Christians viewed the Muslim Turks as if they were evil villans. They took over the land that was rightfully theirs. At least in the mind of the European Christians.
Not including Turkey, Kosovo is the European country with the highest Muslim percentage of its population. 89.6% of Kosovo's population is Muslim.