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Narada Purana — Purva Bhaga, Shloka 140

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

शंकुमानांगुलाभ्यस्ते भुजत्रिज्ये यथांक्रमम् । कोटीज्ययाविभज्याप्ते छायाकर्माबहिर्द्दले ॥ १४० ॥

śaṃkumānāṃgulābhyaste bhujatrijye yathāṃkramam | koṭījyayāvibhajyāpte chāyākarmābahirddale || 140 ||

شَنگو کے پیمانے کو اَنگُلوں میں لے کر، بھُجا اور تِرجیا کو بترتیب اس سے ضرب دو؛ پھر ان حاصل ضرب کو کوٹی جیا سے تقسیم کرو۔ جو قدر ملے اسے چھایا-کرم کے بیرونی مرحلے میں برتو۔

शङ्कुgnomon
शङ्कु:
Sambandha (सम्बन्ध)
TypeNoun
Rootशङ्कु (प्रातिपदिक)
Formपुंलिङ्ग; (compound member)
मानmeasure
मान:
Sambandha (सम्बन्ध)
TypeNoun
Rootमान (प्रातिपदिक)
Formनपुंसकलिङ्ग/पुंलिङ्ग; (compound member)
अङ्गुलfinger-breadth (aṅgula)
अङ्गुल:
Sambandha (सम्बन्ध)
TypeNoun
Rootअङ्गुल (प्रातिपदिक)
Formस्त्रीलिङ्ग/पुंलिङ्ग; (compound member)
अभ्यस्ते(is) multiplied
अभ्यस्ते:
Kriyā (क्रिया)
TypeVerb
Rootअभ्यस् (धातु)
Formलिट्/लङ्?; here best as लिट्-प्रयोगवत्/कर्मणि-भूतकर्म (contextual); 3rd person dual? but form suggests past passive participle-like usage; interpret as 'multiplied' (अभ्यस्त = multiplied) with sandhi to अभ्यस्ते (loc/dual).
भुजarm, base (sine)
भुज:
Sambandha (सम्बन्ध)
TypeNoun
Rootभुज (प्रातिपदिक)
Form(compound member)
त्रिज्येin/with the radius
त्रिज्ये:
Adhikaraṇa (अधिकरण)
TypeNoun
Rootत्रि-ज्या (प्रातिपदिक; त्रि + ज्या)
Formस्त्रीलिङ्ग; सप्तमी (7th/सप्तमी); एकवचन; कर्मधारय/तत्पुरुष (त्रि = त्रिज्या 'radius')
यथाas, according to
यथा:
Kriyāviśeṣaṇa (क्रियाविशेषण)
TypeIndeclinable
Rootयथा (अव्यय)
Formअव्यय; उपमान/प्रकारवाचक (as, according to)
अनुक्रमम्in sequence
अनुक्रमम्:
Kriyāviśeṣaṇa (क्रियाविशेषण)
TypeNoun
Rootअनुक्रम (प्रातिपदिक)
Formपुंलिङ्ग; द्वितीया (2nd/द्वितीया); एकवचन; अव्ययीभाववत् (adverbial accusative: 'in order')
कोटीज्ययाby the cosine (koṭijyā)
कोटीज्यया:
Karaṇa (करण)
TypeNoun
Rootकोटि-ज्या (प्रातिपदिक; कोटि + ज्या)
Formस्त्रीलिङ्ग; तृतीया (3rd/तृतीया); एकवचन; षष्ठी-तत्पुरुष (कोट्याः ज्या)
विभज्यhaving divided
विभज्य:
Kriyā (क्रिया)
TypeVerb
Rootविभज् (धातु)
Formक्त्वान्त (absolutive/gerund); 'having divided'
आप्तेobtained, resulting
आप्ते:
Kriyā (क्रिया)
TypeVerb
Rootआप् (धातु)
Formक्त (past passive participle); नपुंसकलिङ्ग/पुंलिङ्ग; प्रथमा/सप्तमी?; here as predicate 'obtained/resulting' (आप्त) with sandhi to आप्ते
छायाshadow
छाया:
Sambandha (सम्बन्ध)
TypeNoun
Rootछाया (प्रातिपदिक)
Formस्त्रीलिङ्ग; (compound member)
कर्मoperation, procedure
कर्म:
Sambandha (सम्बन्ध)
TypeNoun
Rootकर्म (प्रातिपदिक)
Formनपुंसकलिङ्ग; (compound member)
बहिःoutside
बहिः:
Kriyāviśeṣaṇa (क्रियाविशेषण)
TypeIndeclinable
Rootबहिः (अव्यय)
Formअव्यय; क्रियाविशेषण (adverb: outside)
दलेin the part/section
दले:
Adhikaraṇa (अधिकरण)
TypeNoun
Rootदल (प्रातिपदिक)
Formनपुंसकलिङ्ग; सप्तमी (7th/सप्तमी); एकवचन

Narada (within a technical exposition on computation/measurement)

Vrata: none

Primary Rasa: shanta

Secondary Rasa: none

FAQs

It highlights that dharma and mokṣa-oriented life in the Purāṇic tradition is supported by precise Vedic sciences—accurate measurement (pramāṇa) and time-knowledge (Jyotiṣa) safeguard correct observance of rites and disciplines.

Indirectly: by teaching reliable methods for determining time and related calculations, it supports properly timed worship, vrata observance, and ritual discipline—practical foundations that steady devotional practice.

Vedāṅga Jyotiṣa and gaṇita-style computation: a rule using śaṅku (gnomon), aṅgula units, and triangle components (bhujā, koṭi-jyā, trijyā) for chāyā-karma (shadow calculation).