महाभारतः mahābhārataḥ - book-3, chapter-149, verse-31

त्रयी वार्ता दण्डनीतिस्तिस्रो विद्या विजानताम् ।
ताभिः सम्यक्प्रयुक्ताभिर्लोकयात्रा विधीयते ॥३१॥

31. trayī vārtā daṇḍanītistisro vidyā vijānatām ,
tābhiḥ samyakprayuktābhirlokayātrā vidhīyate.

31. trayī vārtā daṇḍanītiḥ tisraḥ vidyāḥ vijānatām
tābhiḥ samyakprayuktābhiḥ lokayātrā vidhīyate

31. For the wise, there are three branches of knowledge (vidyā): Vedic lore (trayī), economics (vārtā), and the science of governance (daṇḍanīti). When these are properly applied, the affairs of the world are well-managed.

Words meanings summery:

• त्रयी (trayī) - the triple Veda, Vedic lore (specifically Ṛg, Sāma, Yajur)

• वार्ता (vārtā) - economics, livelihood, practical arts, professional activity

• दण्डनीतिः (daṇḍanītiḥ) - the science of governance (daṇḍanīti), political science, administration of justice

• तिस्रः (tisraḥ) - three

• विद्याः (vidyāḥ) - branches of knowledge, sciences, disciplines

• विजानताम् (vijānatām) - of the wise, of those who know, of the discerning

• ताभिः (tābhiḥ) - by them (referring to the three branches of knowledge)

• सम्यक्प्रयुक्ताभिः (samyakprayuktābhiḥ) - by them properly applied/administered

• लोकयात्रा (lokayātrā) - the course of the world, worldly affairs, public administration

• विधीयते (vidhīyate) - is conducted, is managed, is maintained, is established

Words meanings and morphology

त्रयी (trayī) - the triple Veda, Vedic lore (specifically Ṛg, Sāma, Yajur)

(noun)

Nominative, feminine, singular of trayī

trayī - the three Vedas (Ṛg, Sāma, Yajur), triple knowledge

वार्ता (vārtā) - economics, livelihood, practical arts, professional activity

(noun)

Nominative, feminine, singular of vārtā

vārtā - news, information, livelihood, economics, professional activity

Root: vṛt (class 1)

दण्डनीतिः (daṇḍanītiḥ) - the science of governance (daṇḍanīti), political science, administration of justice

(noun)

Nominative, feminine, singular of daṇḍanīti

daṇḍanīti - science of governance, polity, administration of justice, punishment

Compound noun

Compound type : tatpuruṣa (daṇḍa+nīti)

• daṇḍa – rod, staff, punishment, scepter, authority
  noun (masculine)
  Root: daṇḍ (class 1)
• nīti – guidance, conduct, policy, statecraft, morality
  noun (feminine)
  Root: nī (class 1)

तिस्रः (tisraḥ) - three

(numeral)

विद्याः (vidyāḥ) - branches of knowledge, sciences, disciplines

(noun)

Nominative, feminine, plural of vidyā

vidyā - knowledge, learning, science, discipline

Root: vid (class 2)

Note: Although the Devanagari shows 'vidyā' (singular), context with 'tisraḥ' (three, plural) implies 'vidyāḥ' (plural).

विजानताम् (vijānatām) - of the wise, of those who know, of the discerning

(participle)

Genitive, masculine, plural of vijānat

vijānat - knowing, wise, discerning

Present Active Participle

Derived from root 'jñā' with upasarga 'vi'

Prefix: vi

Root: jñā (class 9)

ताभिः (tābhiḥ) - by them (referring to the three branches of knowledge)

(pronoun)

Instrumental, feminine, plural of tad

tad - that, those

Feminine instrumental plural form of 'tad'

सम्यक्प्रयुक्ताभिः (samyakprayuktābhiḥ) - by them properly applied/administered

(adjective)

Instrumental, feminine, plural of samyakprayukta

samyakprayukta - properly applied/administered

Past Passive Participle (used adjectivally)

Compound adjective formed from 'samyak' and 'prayukta' (PPP of pra-yuj)

Compound type : tatpuruṣa (samyak+prayukta)

• samyak – properly, completely, thoroughly, correctly
  indeclinable
  Prefix: sam
  Root: añc (class 1)
• prayukta – applied, used, employed, administered
  adjective
  Past Passive Participle
  Derived from root 'yuj' with upasarga 'pra'
  Prefix: pra
  Root: yuj (class 7)

लोकयात्रा (lokayātrā) - the course of the world, worldly affairs, public administration

(noun)

Nominative, feminine, singular of lokayātrā

lokayātrā - course of the world, worldly affairs, public administration, behavior of people

Compound noun

Compound type : tatpuruṣa (loka+yātrā)

• loka – world, people, universe
  noun (masculine)
  Root: lok (class 1)
• yātrā – journey, procession, going, management, sustenance
  noun (feminine)
  Root: yā (class 2)

विधीयते (vidhīyate) - is conducted, is managed, is maintained, is established

(verb)

3rd person , singular, passive, present indicative (laṭ) of vi-dhā

present stem, passive voice

Derived from root 'dhā' with upasarga 'vi'

Prefix: vi

Root: dhā (class 3)