Inject

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late 16th century (in the sense ‘throw or cast on something’): from Latin inject- ‘thrown in’, from the verb inicere, from in- ‘into’ + jacere ‘throw’.

wiktionary

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From Latin iniectus, injectus, participle of iniciō, injiciō(“I throw in”), from in- + iaciō(“I throw”).

etymonline

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inject (v.)

c. 1600, in medicine, from specialized sense of Latin iniectus "a casting on, a throwing over," past participle of inicere "to throw in or on; insert, bring into," from in- "in" (from PIE root *en "in") + -icere, combining form of iacere "to throw" (from PIE root *ye- "to throw, impel"). Related: Injectable; injected; injecting.