1. To walk: The verb "march" meaning "to walk with regular, measured steps" comes from the Old French word "marcher," which in turn comes from the Latin word "marchare," meaning "to walk." This sense of the word is often used in a military context, as in the phrase "to march in formation."
2. A boundary: The noun "march" meaning "a boundary or border between two countries or regions" comes from the Old English word "mearc," which is thought to be related to the Proto-Germanic word "*marko-," meaning "boundary" or "frontier." This sense of the word is often used in historical and geographical contexts, such as in the phrase "the Welsh Marches."
3. Music: The noun "march" meaning "a musical composition with a regular, strong rhythm, typically written for marching" comes from the Italian word "marcia," which is thought to be derived from the Latin word "marcus," meaning "hammer." This sense of the word is often used in musical and ceremonial contexts, such as in the phrase "a military march."