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Most of the particularly bright stars have several names; a Chinese name, and Indian name, a polynesian name, and so on. In the Middle East, the Egyptians and Babylonians had their own names, which were interpreted or modified by first the Greeks, then the Romans. The first document that we might call a star catalog was compiled by Claudius Ptolemy, a Greek who lived and worked in Alexandria, Egypt. This book survived the collapse of the Roman Empire, and was translated into Arabic, when it got the name we still use, the "Almagest".

A great number of Greek and Roman books that did not survive the fall of Rome were preserved in the Library of Alexandria in Egypt, and many of these were recopied and carried to other parts of the Persian empire. In the 1300s and 1400s, when the Spanish conquered the Arabic province of Andalusia (which we know as "southern Spain") Spanish and Christian scholars were able to obtain, and retranslate into Latin, much of what we now think of as "Roman" and Greek documents. The Almagest, Ptolemy's star catalog, was among them.

So if you're thinking about a bright or distinctive star, the name probably came from the Greek or Phoenician language, translated into Arabic, and translated back into Latin. In many cases, the name we use today is the Arabic name.

Small or dim stars are generally referred to by a catalog number, or by a Greek letter prefix and the name of the constellation in which it appears. So, "Alpha Orionis" is the brightest star in the constellation Orion. Since it is a bright and distinctive star, it has its own name; "Betelgeuse".

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