Algorithm
The word 'algorithm' has its roots in Latinizing the name of Muhammad ibn Musa al-Khwarizmi in a first step to "algorismus". Al-Khwārizmī (, , c. 780–850) was a Persian mathematician, astronomer, geographer, and scholar in the House of Wisdom in Baghdad, whose name means 'the native of Khwarezm', a region that was part of Greater Iran and is now in Uzbekistan.
Organum (instrument)
The name comes from the Latin "organum", meaning any tool in general or any musical instrument in particular (or an organ of the body), which in turn came from the Greek "organon", with similar meanings, itself derived from "ergon" and so meaning something by which a task is accomplished. The name "organum" in turn gave rise to the modern everyday term "organ".