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Narada Purana — Purva Bhaga, Shloka 138

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

शंकुच्छायाहते त्रिज्ये विषुवत्कर्कभाजिते । लंबाक्षज्ये तयोस्छाये लंबाक्षौ दक्षिमौ सदा ॥ १३८ ॥

śaṃkucchāyāhate trijye viṣuvatkarkabhājite | laṃbākṣajye tayoschāye laṃbākṣau dakṣimau sadā || 138 ||

Apabila trijyā (jejari) didarab dengan bayang śaṅku (śaṅku-chāyā) lalu dibahagi menurut ukuran piawai ekuinoks dan Karkata (Cancer), nilai yang terhasil ialah lambākṣa-jyā, yakni “sin latitud”. Daripada dua bayang yang diperoleh itu, kedua-dua latitud hendaklah sentiasa diambil sebagai selatan (dakṣiṇa).

शंकुgnomon
शंकु:
Sambandha (सम्बन्ध)
TypeNoun
Rootशंकु (प्रातिपदिक)
Formपुंलिङ्ग, प्रातिपदिक (compound-member)
छायाshadow
छाया:
Sambandha (सम्बन्ध)
TypeNoun
Rootछाया (प्रातिपदिक)
Formस्त्रीलिङ्ग, प्रातिपदिक (compound-member)
आहतेwhen multiplied/struck
आहते:
Adhikarana (अधिकरण/Condition)
TypeAdjective
Rootआहत (कृदन्त; आ-√हन् + क्त)
Formभूतकर्मणि कृदन्त (PPP), नपुंसकलिङ्ग, सप्तमी (7th/Locative), एकवचन; ‘in the (value) multiplied/struck’
त्रिज्येin the radius (trijyā)
त्रिज्ये:
Adhikarana (अधिकरण/Location)
TypeNoun
Rootत्रिज्या (प्रातिपदिक)
Formस्त्रीलिङ्ग, सप्तमी (7th/Locative), एकवचन
विषुवत्as at the equinox
विषुवत्:
Sambandha (सम्बन्ध/Adverbial)
TypeIndeclinable
Rootविषुवत् (प्रातिपदिक/अव्ययवत्-शब्द)
Formअव्यय; तुल्यवाचक (comparative adverb)
कर्कCancer (karka)
कर्क:
Sambandha (सम्बन्ध)
TypeNoun
Rootकर्क (प्रातिपदिक)
Formपुंलिङ्ग, प्रातिपदिक (compound-member)
भाजितेwhen divided
भाजिते:
Adhikarana (अधिकरण/Condition)
TypeAdjective
Rootभाजित (कृदन्त; √भज् + णिच्? + क्त)
Formभूतकर्मणि कृदन्त (PPP), नपुंसकलिङ्ग, सप्तमी (7th/Locative), एकवचन; ‘when divided/portioned’
लंबाक्षvertical axis
लंबाक्ष:
Sambandha (सम्बन्ध)
TypeNoun
Rootलंब + अक्ष (प्रातिपदिक)
Formप्रातिपदिक; compound-member
ज्येin the chord/sine
ज्ये:
Adhikarana (अधिकरण/Location)
TypeNoun
Rootज्या (प्रातिपदिक)
Formस्त्रीलिङ्ग, सप्तमी (7th/Locative), एकवचन
तयोःof the two
तयोः:
Sambandha (षष्ठी-सम्बन्ध)
TypeNoun
Rootतद् (सर्वनाम-प्रातिपदिक)
Formषष्ठी (6th/Genitive), द्विवचन; सर्वनाम
छायेthe two shadows
छाये:
Karta (कर्ता/Subject)
TypeNoun
Rootछाया (प्रातिपदिक)
Formस्त्रीलिङ्ग, प्रथमा/द्विवचन-रूपाभास?; actually छाये = प्रथमा/द्वितीया द्विवचन (Nom/Acc dual)
लंबाक्षौthe two vertical axes
लंबाक्षौ:
Karta (कर्ता/Subject)
TypeNoun
Rootलंबाक्ष (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा (1st), द्विवचन
दक्षिमौsouthern/right-side
दक्षिमौ:
Karta-anvaya (कर्तृविशेषण)
TypeAdjective
Rootदक्षिण (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा, द्विवचन; विशेषण
सदाalways
सदा:
Sambandha (सम्बन्ध/Adverbial)
TypeIndeclinable
Rootसदा (अव्यय)
Formअव्यय; कालवाचक (temporal adverb)

Sanatkumara (teaching Narada in a Vedanga/astronomical context)

Vrata: none

Primary Rasa: shanta

Secondary Rasa: adbhuta

N
Narada
S
Sanatkumara

FAQs

It shows that Narada Purana integrates Moksha-oriented teaching with Vedāṅga Jyotiṣa: precise knowledge of time, direction, and seasonal markers supports correct dharma-practice and disciplined living.

Indirectly: by emphasizing accurate astronomical reckoning (equinox/seasonal measures), it safeguards the proper timing of vrata and pūjā—practical supports that strengthen steady Vishnu-bhakti.

Vedāṅga Jyotiṣa and mathematical astronomy: using a gnomon’s shadow with trijyā and jya (sine) operations to derive lambākṣa (latitude) and determine southern orientation.