投薬 (とうやく) combines the on'yomi とう for 投 (throw/administer) and やく for 薬 (medicine). This is a common on'yomi pattern for both kanji. Wrong readings like なぐさみ are kun'yomi of 投, and とうやい misreads 薬. It means the act of administering or prescribing medicine, focusing on the giving of the drug itself, distinct from the broader concept of a "prescription" (処方).
投薬 (とうやく) は、投の音読み「とう」と薬の音読み「やく」による標準的な読み方です。「なぐさみ」は投の訓読み、「とうやい」は薬の読み間違い。投薬は、薬を患者に与える行為や量を指し、処方箋とは異なります。
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