श्रीमान् रामो महद्धनुर्धारयामासेति धनुर्धरः ।स एव दाशरथि: धनुर्वेदं वेत्तीति धनुर्वेदः ।दमनं दमयतां दण्डः 'दण्डो दमयतामस्मि' इति भगवद्वचनात् ।वैवस्वतनरेन्द्रादिरूपेण प्रजा दमयतीति दमयिता ।दम दम्येषु दण्डकार्यं फलम्, तच्च स एवेति दमः ।शत्रुभिः न पराजित
In plain words
Because the glorious Rama wielded the mighty bow, He is Dhanurdhara. As the son of Dasharatha, He mastered the science of archery, hence Dhanurveda. He is Daṇḍa because He is the punishing rod among those who exercise control, echoing the Lord's words in the Gita: 'I am the rod among controllers.' He is Damayita because He keeps subjects in order through forms such as Yama and earthly rulers. Because the very fruit of disciplinary rule among those to be restrained is inner control, and that control is none other than He, He is Dama. Unconquered by enemies...
Close to the Sanskrit
Glorious Rama held a great bow, hence Dhanurdhara. He indeed being the son of Dasharatha knows the science of archery, hence Dhanurveda. The subduing of those who control is rod, from the Lord's statement 'I am the rod among those who control.' Damayita because He restrains subjects in the form of Vaivasvata king etc. Discipline among those to be disciplined is the fruit of punishment, and that is He Himself, hence Dama. Not conquered by enemies...