Āryabhaṭīya with the Commentary (with commentary) · Chapter 7
laghvartham saṅkhyāsthānāni prakramyante | anyathā hi saṅkhyāsthāna nirūpaṇābhāvāt guruḥ gaṇitavidhiḥ syāt | katham? rūpabahutvasthāpanāyām rūpāṇi bahūni sthāpayitavyāni bhavanti | satyām punaḥ sthānakalpanāyām yat rūpaiḥ bahubhiḥ nirvartyam karma tat ekena eva nirvartayitum śakyate |
ekam ca daśa ca śatam ca sahasram | eteṣām ekadaśaśatasahasrāṇām prathamadvitīyatṛtīyacaturthāni sthānāni | tu pādapūraṇe | ayutaniyute ayutam ca niyutam ca ayutaniyute | ayutasya pañcamam sthānam | daśasahasrāṇi ayutam | niyutasya ṣaṣṭham sthānam | niyutam lakṣaḥ | tathā tena eva prakāreṇa prayutasya saptamam sthānam | daśalakṣāḥ prayutam | koṭiḥ, koṭyāḥ aṣṭamam sthānam | lakṣāḥ śatam, koṭiḥ | arbudam, arbudasya navamam sthānam | daśakoṭyaḥ
arbudam | vṛndam, vṛndasya daśamam sthānam | koṭiśatam vṛndam |
sthānāt sthānam daśaguṇam syāt | sthānāt sthānam anyat daśaguṇam svaparikalpitasthānāt uttaram sthānam daśaguṇam bhavati iti yāvat | kim artham idam ucyate | nanu ca etāni sthānāni anantarāpekṣayā daśaguṇāni eva | yadi ebhyaḥ anyasthānaparigrahārtham vacanam tathā sati sthānābhidhānam anarthakam | kutaḥ? sthānāt sthānam daśaguṇam syāt iti anena eva abhihitā, abhihitasthānaparigrahasya siddhatvāt | na eṣaḥ doṣaḥ | sthānāt sthānam daśaguṇam
syāt iti etat lakṣaṇam | ekādīni sthānāni asya lakṣaṇasya udāhṛtāni | na etat asti | na hi sūtrakārāḥ saṃkṣepavivakṣavaḥ lakṣaṇam udāharaṇam brūyuḥ | na evam vijñāyate | yadā lakṣaṇam udāharaṇam ca nirarthakam tarhi ekādivṛndānatāyāḥ saṅkhyāyāḥ saṃjñāḥ nirūpyante | sthānāt sthānam daśaguṇam iti ekādisaṃkhyāyāḥ sthānanirūpaṇamātram eva upadiśyate, upayogābhāvāt na saṅkhyāsaṃjñā |
atra etat praṣṭavyam ã kā eṣām sthānānām śaktiḥ, yat ekam rūpam daśa śatam sahasram ca bhavati | satyām ca etasyām sthānaśaktau krāyakāḥ viśeṣeṣṭakrayyabhojanāḥ syuḥ | krayyam ca vivakṣātaḥ alpam bahu ca syāt | evam ca sati lokavyavahārān yathābhāvaprasaṅgaḥ | na eṣaḥ doṣaḥ | sthāne vyavasthitāni rtūpāṇi daśādīni kṛtāni | kim tarhi taiḥ? tāni pratipādyante lekhāgamanyāyena | athavā laghvartham sthānāni prakramyante iti uktam asmābhiḥ |
nyāsaḥ ca sthānānām ã
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Original text: Āryabhaṭīya with the Commentary of Bhāskara I and Someśvara · Edition: Critical edition with Introduction and Appendices by Kripa Shankar Shukla. New Delhi: Indian National Science Academy, 1976. · Data entry Danielle Feller · GRETIL (Göttingen) · CC BY-NC-SA 4.0