Upapattishekhara 27.2-2.p1

27.2-2.p1

hā² - yā² = + 2 a. yā• hā
yā
2hā
samaśodhanena yā² + 2 a. hā. yā = 2 hā²
vargapūraṇena, yā² + 2 a. hā. yā + a². hā²
= a². hā² + 2 hā² = hā² (a² + 2)
mūlagrahaṇena yā + a. hā = hā √(a² + 2)
ataḥ yā = hā ( √(a² + 2) + a )
etena' gatyantarakalāḥ ṣaṣṭibhaktā gatyantaraṃ bhavet | phalaliptāḥ svahārāptā ravīndvośca
phalaṃ kramāt || gatyantaraṃ phalaviyogahṛtaṃ vidhoḥ prāk - svetatphale'nyasamaye yutihṛt parākhyam | khābhrāśvino vidhukarairvihṛtā harastannighnaṃ pareṇa bhavati dhruvasaṃjñakaṃ
tat || svīyadhruvo natajakoṭiguṇena hīno - 'maurvyā natāsubhavayā vihṛto'paro'sya
vargāt padaṃ karayutādaparonitaṃ taddhāraghnamevamiha daṇḍamukhaṃ vidhoḥ prāk || asye phale
raviphalāt svaphalasya vālpe, hīnānyathā ca sahiteṣṭaphalena nyūnam | tidhyantadaṇḍamitiratra bhavet sphuṭā sā, prāk ced vidhodhanaphalālpamathātra sauram || tarhi dhruvāt
svanatakoṭiguṇādihānyaḥ, sādhyo vidā gaṇitagoḷavidā mudaiva | śrībrahmaguptanatakarma bhavet susūkṣma-mevaṃ sakṛt sakalasajjanarañjanārtham ||' iti sudhākarapaṇḍitoktamupapannam
'māsānte raviśaśinau samau bhavetāṃ
pakṣānte lavakalikāviliptikābhiḥ
anyasyāmapi ca tithau sadā'vasāne
tulyau staḥ khalu kalikāviliptikābhiḥ ||'
ṣaḍaśītimukhaṃ kanyācaturdaśe'ṣṭādaśe ca mithunasya
mīnasya dvāviṃśe ṣaḍviṃśe kārmukasyāṃśe
udgayanaṃ makarādāvṛtavaḥ śiśirādayaśca sūryavaśāt
dvibhavanakālasamānā dakṣiṇamayanaṃ ca karkaṭakāt
ṣāṣṭaghnyo bhuktihatā ravibimbakalā bhavanti nāḍyastāḥ
saṃkrāntīnāṃ kālaḥ puṇyo'to'rdhena cādyantāt ||'
atha tripraśnādhikāraḥ
atha daśamalagnam
prākpaścānnatanāḍībhistasmāllaṅkodayāsubhiḥ
bhānau kṣayadhane kṛtvā madhyalagnaṃ tadā bhavet