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Narada Purana — Purva Bhaga, Shloka 50

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

व्यासध्नं प्रभजेद्विप्र ज्या काशं जायते स्फुटा । ज्यांघ्रीषुध्नोवृत्तवर्गोबग्धिघ्नव्यासाढ्यमौर्विहृत् ॥ ५० ॥

vyāsadhnaṃ prabhajedvipra jyā kāśaṃ jāyate sphuṭā | jyāṃghrīṣudhnovṛttavargobagdhighnavyāsāḍhyamaurvihṛt || 50 ||

โอ้พราหมณ์ เมื่อแบ่งเส้นผ่านศูนย์กลางแล้ว จะได้ค่าเชือกคันธนู (ชยา) อย่างชัดเจน โดยใช้ชยาร่วมกับค่าที่เกี่ยวกับวงกลม ทั้งกำลังสองของปริมาณและเส้นผ่านศูนย์กลาง แล้วกำหนดผลตามกฎเชือกคันธนู

व्यासध्नम्(technical) vyāsa-dhna quantity
व्यासध्नम्:
Karma (कर्म)
TypeNoun
Rootव्यास-ध्न (प्रातिपदिक)
Formनपुंसकलिङ्ग, द्वितीया एकवचन (Acc. sg.); तत्पुरुषः (व्यासस्य ध्नम्)
प्रभजेत्should divide/apportion
प्रभजेत्:
Kriya (क्रिया)
TypeVerb
Rootभज् (भज् धातु)
Formविधिलिङ् (Optative), परस्मैपद, प्रथमपुरुष? (अत्र मध्यमपुरुष एकवचन अपेक्षितः—भजेत्: 3rd/2nd sg. opt. in usage), एकवचन
विप्रO brāhmaṇa
विप्र:
Sambodhana (सम्बोधन)
TypeNoun
Rootविप्र (प्रातिपदिक)
Formपुंलिङ्ग, सम्बोधन एकवचन (Voc. sg.)
ज्याbowstring (sine)
ज्या:
Karta (कर्ता)
TypeNoun
Rootज्या (प्रातिपदिक)
Formस्त्रीलिङ्ग, प्रथमा एकवचन (Nom. sg.)
काशम्(technical) kāśa
काशम्:
Karma (कर्म)
TypeNoun
Rootकाश (प्रातिपदिक)
Formपुंलिङ्ग/नपुंसकलिङ्ग, द्वितीया एकवचन (Acc. sg.); (अर्थ/पाठ अस्पष्ट)
जायतेarises/is produced
जायते:
Kriya (क्रिया)
TypeVerb
Rootजन् (जन् धातु)
Formलट् (Present), आत्मनेपद, प्रथमपुरुष एकवचन (3rd sg.)
स्फुटाclear/distinct
स्फुटा:
Karta (कर्ता)
TypeAdjective
Rootस्फुट (प्रातिपदिक)
Formस्त्रीलिङ्ग, प्रथमा एकवचन (Nom. sg.); विशेषण (ज्यायाः)
ज्याthe sine/bowstring
ज्या:
Karma (कर्म)
TypeNoun
Rootज्या (प्रातिपदिक)
Formस्त्रीलिङ्ग, द्वितीया एकवचन (Acc. sg.)
अङ्घ्रिfoot
अङ्घ्रि:
Karma (कर्म)
TypeNoun
Rootअङ्घ्रि (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा/द्वितीया एकवचन (Nom./Acc. sg.); (समासाङ्ग)
इषुध्नोof iṣudhna (technical)
इषुध्नो:
Sambandha (सम्बन्ध/षष्ठी)
TypeNoun
Rootइषुध्न (प्रातिपदिक)
Formपुंलिङ्ग, षष्ठी/सप्तमी एकवचन (Gen./Loc. sg.); (पाठदुष्कर)
वृत्तवर्गःsquare of the circle (area/quantity)
वृत्तवर्गः:
Karta (कर्ता)
TypeNoun
Rootवृत्त-वर्ग (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा एकवचन (Nom. sg.); तत्पुरुषः (वृत्तस्य वर्गः)
बग्धिघ्नbagdhi-multiplier (technical)
बग्धिघ्न:
Karta (कर्ता)
TypeAdjective
Rootबग्धि-घ्न (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा एकवचन (Nom. sg.); तत्पुरुषः (बग्धेः घ्नः = multiplier of bagdhi)
व्यासाढ्यaugmented by diameter
व्यासाढ्य:
Karta (कर्ता)
TypeAdjective
Rootव्यास-आढ्य (प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा एकवचन (Nom. sg.); तत्पुरुषः (व्यासेन आढ्यः = enriched by diameter)
मौर्विहृत्taking/deriving the bowstring (mauर्वी)
मौर्विहृत्:
Karta (कर्ता)
TypeAdjective
Rootमौर्वि-हृत् (हृ धातु, क्त/क्विप्-प्रत्यय; कृदन्त-प्रातिपदिक)
Formपुंलिङ्ग, प्रथमा एकवचन (Nom. sg.); तत्पुरुषः (मौर्विं हरति)

Sanatkumara (teaching Narada technical auxiliary knowledge in the Moksha-Dharma context)

Vrata: none

Primary Rasa: shanta

Secondary Rasa: adbhuta

N
Narada
S
Sanatkumara

FAQs

It shows that even practical sciences (like measurement and computation) can be taught as supportive knowledge—disciplined clarity of intellect serving dharma and ultimately aiding the seeker’s steadiness on the path to liberation.

Indirectly: it emphasizes precision, method, and disciplined learning—qualities that, when turned toward worship and scriptural practice, strengthen bhakti through correct understanding and right application of teachings.

A technical computational method using jyā (chord), diameter, and square-measure ideas—aligned with traditional Indian mathematical/astronomical procedures that support calendrics, ritual timing, and related Vedic applications.