The Muslims translated the Greek writings into Arabic where their philosophers made use of the Greek ideas.
Around 1100 A.D. when the Spanish were taking back their lands from the Muslims, they discovered the translated works.
The Archbishop of Toledo assembled a group of Christian (Catholic), Islamic and Jewish philosophers who all worked together to get the Greek writings translated into Latin.
Curiously, after many years of having benefited from the Greek writings the mullahs in charge decided to forgo anymore work using the Greek writings, whereas the West headed by the Catholic Church understood the benefit of studying the Greek philosophy.
This decision by the Church to not stifle the inquiry preceded and encouraged the Renaissance.
The Islamic religion became stunted when it turned its back on the Greek philosophers.
They are essentially still living in the 1100s.
Everybody completely disregards the Byzantines - the eastern half of the Roman empire that kept on truckin' for 1,000 years after the western Roman empire collapsed. That's where the muslims got their hands on the Greek philosophers and mathematicians and that's where western Europe was re-introduced to those works during the Crusades.
Actually, fragments of the Greek works were known inthe West, particularly in Spain, where Isidore of Seville included them in his compendium of all human knowledge (for the time), written about 75 years before the Islamic invasion of Spain and actually before the invention of Islam.
The Muslims conquered and destroyed numerous Christian and pagan Middle Eastern cultures that still possessed more complete copies of the Greek works, and some of these were preserved by scholars from those countries. While the countries were then islamicized, this was early enough for Islam not to have consolidated its full anti-intellectual impact, which has always resulted in the destruction of all art, music, literature and philosophy in any place that has remained under Islam for more than about 100 years.
Both the Syrians and the Persians, two of the dynasties that ruled Spain at various points, even ended up being considered near heretical by the the guardians of Islamic orthodoxy, the North African Muslims (the Arabs, from whom Mohammed originated), because they were influenced by the Jews and Christians of Spain and because they themselves had had strong intellectual traditions before their conquest by Mohammed and his Arab hordes.
Arabs had no intellectual culture and were nomadic raiders who lived in tents while the Syrians, Baghdadis and Persians lived in elaborate stone cities with gardens and fountains.
Islam is profoundly anti-intellectual. There’s nothing wrong with Arabs intellectually, but Islam stifles them.