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

至点（冬至・夏至）の赤緯に関する弦と正弦から得られる諸量によって、最上にして高遠なる計算法が得られる。さらに弧の内において、「内なる風」（すなわち計算を動かす作用力）により処理すれば、生じた正弦は寒と熱、すなわち季節の効を示す。

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.