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Narada Purana — Purva Bhaga, Shloka 84

Jyotiṣa-śāstra Saṅgraha: Threefold Division, Gaṇita Methods, Muhūrta, and Planetary Reckoning

Devanagari script

तद्वर्गतो दशगुणात्पद भूपरिधिर्भवेत् । लंबज्याघ्नस्वजीवाप्तः स्फुटो भूपरिधिः स्वकः ॥ ८४ ॥

Transliteration

tadvargato daśaguṇātpada bhūparidhirbhavet | laṃbajyāghnasvajīvāptaḥ sphuṭo bhūparidhiḥ svakaḥ || 84 ||

Translation

De dix fois le carré de cette valeur, on obtient, par degrés, une circonférence approximative de la Terre. Mais la circonférence exacte s’obtient en multipliant par le sinus de la distance au zénith (lamba-jyā), puis en divisant par sa propre valeur de jīva (sinus).

Word by Word
तत्that
तत्:
विशेषण (Adjectival modifier/विशेषण)
TypeAdjective
Rootतद् (सर्वनाम-प्रातिपदिक)
Formनपुंसकलिङ्ग, प्रथमा/द्वितीया (1/2), एकवचन; demonstrative pronoun used adjectivally
वर्गतःfrom the group/class
वर्गतः:
अपादान (Source/अपादान)
TypeIndeclinable
Rootवर्ग (प्रातिपदिक) + तस् (तद्धित-अव्यय)
Formअव्यय; तसिल्-प्रत्ययान्त (ablatival adverb)
दशगुणात्from the tenfold (value)
दशगुणात्:
अपादान (Source/अपादान)
TypeAdjective
Rootदशगुण (प्रातिपदिक: दश + गुण)
Formपुंलिङ्ग, पञ्चमी (5), एकवचन; तद्धित/समासान्त विशेषण; components: दश (ten) + गुण (fold)
पदa step/measure (pada)
पद:
कर्म (Object/कर्म)
TypeNoun
Rootपद (प्रातिपदिक)
Formनपुंसकलिङ्ग, प्रथमा/द्वितीया (1/2), एकवचन
भू-परिधिःearth’s circumference
भू-परिधिः:
कर्ता (Subject/कर्ता)
TypeNoun
Rootपरिधि (प्रातिपदिक) with भू (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा (1), एकवचन; षष्ठी-तत्पुरुष: भू (earth) + परिधि (circumference)
भवेत्should be/becomes
भवेत्:
क्रिया (Verb/क्रिया)
TypeVerb
Rootभू (धातु)
Formविधिलिङ् (Optative), प्रथमपुरुष (3rd), एकवचन; परस्मैपद
लम्बperpendicular/height (lamba)
लम्ब:
समासाङ्ग (Compound member/समासाङ्ग)
TypeNoun
Rootलम्ब (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा/द्वितीया (1/2), एकवचन; used as first member in compound
ज्याchord (jyā)
ज्या:
समासाङ्ग (Compound member/समासाङ्ग)
TypeNoun
Rootज्या (प्रातिपदिक)
Formस्त्रीलिङ्ग, प्रथमा/द्वितीया (1/2), एकवचन; used as compound member
अघ्न(technical) aghna-factor
अघ्न:
समासाङ्ग (Compound member/समासाङ्ग)
TypeNoun
Rootअघ्न (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा/द्वितीया (1/2), एकवचन; used as compound member (technical term)
स्व-जीव-आप्तःobtained by one’s own jīva (value)
स्व-जीव-आप्तः:
विशेषण (Adjectival modifier/विशेषण)
TypeAdjective
Rootआप्त (कृदन्त-प्रातिपदिक; आप्/आप्नोति धातु) with स्व + जीव
Formपुंलिङ्ग, प्रथमा (1), एकवचन; क्त-प्रत्ययान्त (past passive participle) ‘obtained’; compound: स्व (own) + जीव (jīva/quantity) + आप्त (obtained)
स्फुटःclear/explicit
स्फुटः:
विशेषण (Adjectival modifier/विशेषण)
TypeAdjective
Rootस्फुट (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा (1), एकवचन
भू-परिधिःearth’s circumference
भू-परिधिः:
कर्ता (Subject/कर्ता)
TypeNoun
Rootपरिधि (प्रातिपदिक) with भू (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा (1), एकवचन; षष्ठी-तत्पुरुष
स्वकःone’s own/proper
स्वकः:
विशेषण (Adjectival modifier/विशेषण)
TypeAdjective
Rootस्वक (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा (1), एकवचन
Speaker

Narada (teaching in a technical/astronomical context within Moksha-Dharma discourse)

Vrata Kalpa

Vrata: none

Verse Rasa

Primary Rasa: shanta

Secondary Rasa: adbhuta

FAQs

It shows that Narada Purana integrates dharma with disciplined knowledge—precision (sphuṭa) and correct method are themselves part of righteous learning that supports clarity of understanding.

Indirectly: it frames sacred study as orderly and exact, encouraging a devotee to approach Vishnu’s cosmos with reverence and intellectual honesty rather than guesswork.

Vedāṅga Jyotiṣa/gaṇita: the verse references jyā/jīva (sine) operations and distinguishes approximate versus accurate computations for determining bhū-paridhi (earth’s circumference).

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