Narada Purana — Purva Bhaga, Shloka 141

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

Devanagari script

स्वाक्षार्कनतभागानां दिक्साम्येऽतरमन्यथा । दिग्भेदोपक्रमः शेषस्तस्य ज्या त्रिज्यया हता ॥ १४१ ॥

Transliteration

svākṣārkanatabhāgānāṃ diksāmye'taramanyathā | digbhedopakramaḥ śeṣastasya jyā trijyayā hatā || 141 ||

Translation

Lorsque la condition des directions est symétrique, on procède selon le cas alterné ; sinon, le reste se traite en commençant par la différence des directions. La jyā (sinus) de ce reste, multipliée par la trijyā (rayon), donne la valeur recherchée.

Word by Word

• स्व: own
• स्व: Sambandha (सम्बन्ध)
• Type: Adjective
• Root: स्व (प्रातिपदिक)
• Form: (compound member); स्व- (own)

• अक्ष: axis
• अक्ष: Sambandha (सम्बन्ध)
• Type: Noun
• Root: अक्ष (प्रातिपदिक)
• Form: (compound member)

• अर्क: sun
• अर्क: Sambandha (सम्बन्ध)
• Type: Noun
• Root: अर्क (प्रातिपदिक)
• Form: (compound member)

• नत: inclined, declination
• नत: Sambandha (सम्बन्ध)
• Type: Adjective
• Root: नत (प्रातिपदिक; from √नम्)
• Form: क्त (past participle) used adjectivally; (compound member)

• भागानाम्: of the parts
• भागानाम्: Sambandha (सम्बन्ध)
• Type: Noun
• Root: भाग (प्रातिपदिक)
• Form: पुंलिङ्ग; षष्ठी (6th/षष्ठी); बहुवचन

• दिक्: direction
• दिक्: Sambandha (सम्बन्ध)
• Type: Noun
• Root: दिश् (प्रातिपदिक)
• Form: (compound member)

• साम्ये: at equinox/equality
• साम्ये: Adhikaraṇa (अधिकरण)
• Type: Noun
• Root: साम्य (प्रातिपदिक)
• Form: नपुंसकलिङ्ग; सप्तमी (7th/सप्तमी); एकवचन

• अतरम्: otherwise/other
• अतरम्: Kriyāviśeṣaṇa (क्रियाविशेषण)
• Type: Adjective
• Root: अतर (प्रातिपदिक)
• Form: नपुंसकलिङ्ग; प्रथमा/द्वितीया; एकवचन; comparative sense 'other/remaining' (contextual)

• अन्यथा: otherwise
• अन्यथा: Kriyāviśeṣaṇa (क्रियाविशेषण)
• Type: Indeclinable
• Root: अन्यथा (अव्यय)
• Form: अव्यय; क्रियाविशेषण

• दिग्भेद: difference of directions
• दिग्भेद: Sambandha (सम्बन्ध)
• Type: Noun
• Root: दिक्-भेद (प्रातिपदिक; दिक् + भेद)
• Form: पुंलिङ्ग; (compound member); षष्ठी-तत्पुरुष (दिशां भेदः)

• उपक्रमः: initial offset/commencement (in direction-difference)
• उपक्रमः: Karta (कर्ता)
• Type: Noun
• Root: उपक्रम (प्रातिपदिक)
• Form: पुंलिङ्ग; प्रथमा (1st/प्रथमा); एकवचन; तत्पुरुष as whole with previous member (दिग्भेदोपक्रमः)

• शेषः: remainder
• शेषः: Karta (कर्ता)
• Type: Noun
• Root: शेष (प्रातिपदिक)
• Form: पुंलिङ्ग; प्रथमा; एकवचन

• तस्य: of that
• तस्य: Sambandha (सम्बन्ध)
• Type: Noun
• Root: तद् (सर्वनाम-प्रातिपदिक)
• Form: पुं/नपुंसक; षष्ठी (6th); एकवचन

• ज्या: sine
• ज्या: Karta (कर्ता)
• Type: Noun
• Root: ज्या (प्रातिपदिक)
• Form: स्त्रीलिङ्ग; प्रथमा (1st); एकवचन

• त्रिज्यया: by the radius
• त्रिज्यया: Karaṇa (करण)
• Type: Noun
• Root: त्रिज्या (प्रातिपदिक)
• Form: स्त्रीलिङ्ग; तृतीया (3rd/तृतीया); एकवचन

• हता: multiplied
• हता: Kriyā (क्रिया)
• Type: Verb
• Root: हन् (धातु)
• Form: क्त (past passive participle); स्त्रीलिङ्ग; प्रथमा; एकवचन; कर्मणि प्रयोग (multiplied/struck)

Speaker

Sanatkumara (teaching Narada in a technical, Vedanga-style section)

Vrata Kalpa

Vrata: none

Verse Rasa

Primary Rasa: shanta

Secondary Rasa: adbhuta

Characters & Entities

• Narada
• Sanatkumara

FAQs

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

It highlights that dharma and ritual timing rely on precise knowledge (Jyotiṣa/Vedāṅga); disciplined calculation is presented as a supportive limb for right practice and clarity of conduct.

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

Indirectly: it supports Bhakti-driven worship by ensuring correct astronomical determinations (directions, residual arcs, sine-based results) used for proper observances, aligning devotion with accurate sacred timing.

What practical Vedic knowledge (Vedanga) is highlighted here?

Jyotiṣa/Gaṇita: handling directional symmetry vs. asymmetry, using the remainder (śeṣa) and computing a result via jyā (sine) multiplied by trijyā (radius).