Is it farther or further?
c.1200, "medical treatment, cure, remedy," also used figuratively, of spiritual remedies, from Old French medecine (Modern French médicine) "medicine, art of healing, cure, treatment, potion," from Latin medicina "the healing art, medicine; a remedy," also used figuratively, perhaps originally ars medicina "the medical art," from fem. of medicinus (adj.) "of a doctor," from medicus "a physician" (see medical); though OED finds evidence for this is wanting. Meaning "a medicinal potion or plaster" in English is mid-14c.
To take (one's) medicine "submit to something disagreeable" is first recorded 1865. North American Indian medicine-man "shaman" is first attested 1801, from American Indian adoption of the word medicine in sense of "magical influence." The U.S.-Canadian boundary they called Medicine Line (first attested 1910), because it conferred a kind of magic protection: punishment for crimes committed on one side of it could be avoided by crossing over to the other. Medicine show "traveling show meant to attract a crowd so patent medicine can be sold to them" is American English, 1938. Medicine ball "stuffed leather ball used for exercise" is from 1889.
It is called a "medicine ball" and it got that title from Prof. Roberts, now of Springfield, whose fame is widespread, and whose bright and peculiar dictionary of terms for his prescription department in physical culture is taught in every first-class conducted Y.M.C.A. gymnasium in America. Prof. Roberts calls it a "medicine ball" because playful exercise with it invigorates the body, promotes digestion, and restores and preserves one's health. ["Scientific American Supplement," March 16, 1889]
medicine med·i·cine (měd'ĭ-sĭn)
The science of diagnosing, treating, or preventing disease and other damage to the body or mind.
The branch of this science encompassing treatment by drugs, diet, exercise, and other nonsurgical means.
The practice of medicine.
An agent, such as a drug, used to treat disease or injury.