Where does “analgesic” come from?

I need to work through this chain carefully to construct an accurate etymology sentence. Looking at the chain provided: - English analgesic - Ancient Greek ἀναλγησία (analgēsia) - Latin -icus - Ancient Greek ἀ- (a-, negative prefix) - Ancient Greek ἀ- (appears twice - likely this is ἀ- and then another element) - Proto-Indo-European -kos - Proto-Indo-European ne - Proto-Indo-European sem- However, I notice this chain has some issues. The Latin "-icus" suffix doesn't seem to fit the etymological path from Ancient Greek ἀναλγησία to English analgesic. The chain also lists elements that don't clearly connect. Let me reconsider what a proper etymology would be: "analgesic" comes from Ancient Greek ἀ

analgesic (English): Any medicine, such as aspirin, that reduces pain,...

Definitions

  1. Any medicine, such as aspirin, that reduces pain,...

Ancestry of “analgesic”, step by step

StepLanguageWordMeaning
1EnglishanalgesiaThe inability to feel pain; Medication that acts...
2New Latinanalgēsia—
3Ancient GreekἀναλγησίᾱWant of feeling, insensibility
4Ancient Greekἀν-Alternative form of ἀ- used before a vowel;...
5Ancient Greekὀρθόςstraight, upright, erect; straight forward, in a...
6Proto-Hellenicortʰwós—
7Proto-Indo-Europeanh₃r̥dʰwós—
8Proto-Indo-Europeanh₃erdʰ-to increase, grow; upright, high
9Proto-Indo-European-wósCreates adjectives from verb stems

Words derived from “analgesic”

Every word from Proto-Indo-European -wós →Every word from Proto-Indo-European h₃erdʰ- →Every word from Ancient Greek ἀν- →