The BMJ draws a distinction between the terms assisted dying, assisted suicide, and euthanasia. It depends on the health of the person dying, and who’s administering the drugs:
I understand that assisted suicide is inaccurate, but assisted dying sounds like a too broadly applicable euphemism. We might say we assist criminals on death row with dying, for instance. However, a euphemism is necessary in these circumstances because the obvious non-euphemistic way of expressing it is "killing the patient' or maybe the more gentle "consensual execution."