Narada Purana — Purva Bhaga, Shloka 179

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

Devanagari script

क्रांत्योर्जेत्रिज्ययाभिस्ते परमायक्रमोद्धते । तच्चापांतर्मर्द्धवायोर्ज्यभाविनशीतगौ ॥ १७९ ॥

Transliteration

krāṃtyorjetrijyayābhiste paramāyakramoddhate | taccāpāṃtarmarddhavāyorjyabhāvinaśītagau || 179 ||

Translation

Durch Maße, die aus Sehne und Sinus der solstitialen Deklinationen gewonnen werden, erlangt man das höchste, erhabene Verfahren der Berechnung. Daraus ergibt sich, indem man innerhalb des Bogens wirkt—durch die Kraft des „inneren Windes“ (die operative Rechenkraft)—dass die entstehenden Sinus Kälte und Hitze, also die Wirkungen der Jahreszeiten, anzeigen.

Word by Word

• क्रान्त्योः: of the two declinations (krānti-s)
• क्रान्त्योः: Sambandha (सम्बन्ध/Genitive relation)
• Type: Noun
• Root: क्रान्ति (प्रातिपदिक)
• Form: स्त्रीलिङ्ग (f.), षष्ठी/सप्तमी-द्विवचन (6th/7th dual)

• जे: conquer; compute/obtain (imperative)
• जे: Kriya (क्रिया/Verbal action)
• Type: Verb
• Root: जि (धातु)
• Form: लोट् (imperative), मध्यमपुरुष (2nd person), एकवचन (sg.)

• त्रिज्ययाभिः: by the sines (trijyā-s)
• त्रिज्ययाभिः: Karana (करण/Instrument)
• Type: Noun
• Root: त्रिज्या (प्रातिपदिक)
• Form: स्त्रीलिङ्ग (f.), तृतीया-बहुवचन (3rd plural)

• ते: your
• ते: Sambandha (सम्बन्ध/Genitive)
• Type: Noun
• Root: त्वद् (सर्वनाम-प्रातिपदिक)
• Form: सर्वनाम (pronoun), षष्ठी-एकवचन (6th sg.)

• परमाय: for the highest (one)
• परमाय: Sampradana (सम्प्रदान/Dative)
• Type: Adjective
• Root: परमा (प्रातिपदिक)
• Form: स्त्रीलिङ्ग (f.), चतुर्थी-एकवचन (4th sg.)

• क्रम-उद्धते: in the stepwise-raised (procedure)
• क्रम-उद्धते: Adhikarana (अधिकरण/Locative)
• Type: Adjective
• Root: क्रम (प्रातिपदिक) + उद्धत (कृदन्त, √उद्+√हन्/√धू?; here ‘raised/advanced’)
• Form: समासः तत्पुरुषः; नपुंसकलिङ्ग (n.), सप्तमी-एकवचन (7th sg.)

• तत्: that
• तत्: Karma (कर्म/Object)
• Type: Noun
• Root: तद् (सर्वनाम-प्रातिपदिक)
• Form: सर्वनाम (pronoun), नपुंसकलिङ्ग (n.), प्रथमा/द्वितीया-एकवचन (1st/2nd sg.)

• च: and
• च: Samuccaya (समुच्चय/Connector)
• Type: Indeclinable
• Root: च (अव्यय)
• Form: समुच्चय-अव्यय (conjunction)

• आप-अन्तर्मर्द्ध-वायोः: of the wind that presses within the waters (i.e., internal pressure/wind)
• आप-अन्तर्मर्द्ध-वायोः: Sambandha (सम्बन्ध/Genitive)
• Type: Noun
• Root: आप् (प्रातिपदिक) + अन्तर्मर्द्ध (प्रातिपदिक) + वायु (प्रातिपदिक)
• Form: समासः तत्पुरुषः; पुंलिङ्ग (m.), षष्ठी-एकवचन (6th sg.)

• ज्या-भाविन-शीतगौ: the two ‘cool-goers’ (moon/sun) having sine-values (jya)
• ज्या-भाविन-शीतगौ: Visheshana (विशेषण/Qualifier)
• Type: Adjective
• Root: ज्या (प्रातिपदिक) + भाविन् (प्रातिपदिक) + शीतगु (प्रातिपदिक)
• Form: समासः तत्पुरुषः; पुंलिङ्ग (m.), प्रथमा-द्विवचन (1st dual)

Speaker

Narada (in dialogue context with Sanatkumara tradition; technical exposition within Moksha Dharma section)

Vrata Kalpa

Vrata: none

Verse Rasa

Primary Rasa: shanta

Secondary Rasa: adbhuta

Characters & Entities

• Narada

FAQs

What is the spiritual significance of this verse in Narada Purana?

It links precise knowledge of time and cosmic order (kāla and graha-gati) with dharma-oriented living, implying that disciplined understanding of the cosmos supports right conduct and steadiness on the moksha path.

How does this verse explain the path of devotion (Bhakti)?

Indirectly: by emphasizing accurate reckoning of seasonal/time cycles, it supports proper observance of vrata, worship timings, and sacred days—practices that structure and deepen Vishnu-bhakti even when the verse itself is technical.

What practical Vedic knowledge (Vedanga) is highlighted here?

Vedāṅga Jyotiṣa (astronomy/astrology) and computational practice (gaṇita): using krānti (declination), cāpa (arc), and jyā (sine/chord relations) to infer seasonal cold/heat and refine calendrical calculations.