वाल्मीकि-रामायणम् vālmīki-rāmāyaṇam - book-1, chapter-28, verse-16

यथार्हं चक्रिरे पूजां विश्वामित्राय धीमते ।
तथैव राजपुत्राभ्यामकुर्वन्नतिथिक्रियाम् ॥१६॥

16. yathārhaṃ cakrire pūjāṃ viśvāmitrāya dhīmate ,
tathaiva rājaputrābhyāmakurvannatithikriyām.

16. yathārham cakrire pūjām viśvāmitrāya dhīmate
tathā eva rājaputrābhyām akurvan atithikriyām

16. yathārham dhīmate viśvāmitrāya pūjām cakrire
tathā eva rājaputrābhyām atithikriyām akurvan

16. They offered worship to the wise (dhīmat) Viśvāmitra as was due, and similarly, they extended hospitality to the two princes.

Words meanings summery:

• यथार्हम् (yathārham) - according to what is proper, due, or fitting

• चक्रिरे (cakrire) - they did, they performed, they made

• पूजाम् (pūjām) - worship, honor, adoration

• विश्वामित्राय (viśvāmitrāya) - to Viśvāmitra

• धीमते (dhīmate) - to the wise one, to the intelligent one

• तथा (tathā) - so, thus, in that manner

• एव (eva) - indeed, only, just

• राजपुत्राभ्याम् (rājaputrābhyām) - to the two princes

• अकुर्वन् (akurvan) - they did, they performed, they made

• अतिथिक्रियाम् (atithikriyām) - hospitality, guest-treatment

Words meanings and morphology

यथार्हम् (yathārham) - according to what is proper, due, or fitting

(indeclinable)

Adverbial use of 'yathārha' (adj. from 'yathā' + 'arha').

Compound type : avyayībhāva (yathā+arham)

• yathā – as, just as, in what manner
  indeclinable
• arham – deserving, worthy, proper, suitable
  adjective (neuter)
  Gerundive
  From √arh (to deserve).
  Root: arh (class 1)

चक्रिरे (cakrire) - they did, they performed, they made

(verb)

3rd person , plural, middle, perfect (Lit) of √kṛ

perfect tense, third person plural, middle voice

From √kṛ, class 8 (tanādi), perfect (lit), ātmanepada.

Root: kṛ (class 8)

पूजाम् (pūjām) - worship, honor, adoration

(noun)

Accusative, feminine, singular of pūjā

pūjā - worship, adoration, honor, respect

From √pūj (to honor).

Root: pūj (class 10)

विश्वामित्राय (viśvāmitrāya) - to Viśvāmitra

(proper noun)

Dative, masculine, singular of viśvāmitra

viśvāmitra - friend of all; a celebrated sage, a proper name

धीमते (dhīmate) - to the wise one, to the intelligent one

(adjective)

Dative, masculine, singular of dhīmat

dhīmat - intelligent, wise, thoughtful, sagacious

From 'dhī' (intellect) + suffix 'mat'.

Note: Qualifies 'viśvāmitrāya'.

तथा (tathā) - so, thus, in that manner

(indeclinable)

एव (eva) - indeed, only, just

(indeclinable)

Emphatic particle.

राजपुत्राभ्याम् (rājaputrābhyām) - to the two princes

(noun)

Dative, masculine, dual of rājaputra

rājaputra - son of a king, prince

Compound type : tatpuruṣa (rājan+putra)

• rājan – king, ruler
  noun (masculine)
  Root: rāj
• putra – son, child
  noun (masculine)

Note: Can also be instrumental/ablative dual, but dative fits the context of 'offering to'.

अकुर्वन् (akurvan) - they did, they performed, they made

(verb)

3rd person , plural, active, imperfect (Laṅ) of √kṛ

imperfect tense, third person plural, active voice

From √kṛ, class 8 (tanādi), imperfect (laṅ), parasmaipada.

Root: kṛ (class 8)

अतिथिक्रियाम् (atithikriyām) - hospitality, guest-treatment

(noun)

Accusative, feminine, singular of atithikriyā

atithikriyā - guest-treatment, hospitality, reception of guests

Compound type : tatpuruṣa (atithi+kriyā)

• atithi – guest, stranger, one who has no fixed date
  noun (masculine)
• kriyā – action, act, rite, performance
  noun (feminine)
  From √kṛ.
  Root: kṛ (class 8)

Note: Object of 'akurvan'.