Can you please help me with a couple of points about analgesic drug, with the given text as a reference.

An analgesic drug, also called simply an analgesic (American English), analgaesic (British English), pain reliever, or painkiller, is any member of the group of drugs used to achieve relief from pain (that is, analgesia or pain management). Analgesics are conceptually distinct from anesthetics, which temporarily reduce, and in some instances eliminate, sensation, although analgesia and anesthesia are neurophysiologically overlapping and thus various drugs have both analgesic and anesthetic effects.

1. Any medication from the class of medications intended to treat pain is referred to as an analgesic medicine, also known as a simple analgesic (American English), an analgaesic (British English), pain reliever, or painkiller. (that is, analgesia or pain management).
2. Although analgesia and anaesthesia are neurophysiologically similar and thus certain medications have both analgesic and anaesthetic effects, analgesics are conceptually separate from anesthetics, which temporarily diminish, and in some cases eradicate, feeling.