Ganitatilaka (Sanskrit text and English introduction)

by H. R. Kapadia | 1937 | 49,274 words

The Sanskrit text of the Ganitatilaka with an English introduction and Appendices. Besides the critically-edited text, this edition also includes the commentary of Simhatilaka Suri. The Ganitatilaka is an 11th-century Indian mathematical text composed entirely of Sanskrit verses and authored by astronomer-mathematician Shripati. The text itself dea...

 

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nkasya tadanena - gunitanispannankena ku (ha) te - datte bhage labdham tad gunanaphalam syaditi kriya || atroddesakavrtte udaharanadvayamaha- sadalatritayam gunitam sumate ! • trilavena yutairnavabhih kathaya | ganitam yadi vetsi tada carano dalasangunitasca bhavennanu kim ? ॥' 9 1 } | vyakhya -sadaleti sarvatritayamabhyustalaksanam trilavena - tribhagena yutairnavabhi- gunitam kim bhavediti prasnah | sa prapancayisyate | yatha nyasah ( | ) | sarvatranka- 1 . vidhau bhaganubandhesvanke pragbhaganubandhajatividhim vidhayanyo vidhirevam bhaga- pavahasamyatesvanke taduktavidhim krtva'nyo vidhih karya iti hrdayam | yatha'tra bhaganubandhatvat "chedaninesu rupesu bhagam ksipet " iti yuktya praga dvigunastrayo jatah patu, saika jatah sapta dvicchedah | tatha paratra triguna nava jatah saptavimsatih, saika astavimsatistricchedah | tato'tra sutroktabhagavadhe iti bhagaih 15 saptabhirgunita astavimsatirjatah sannavatyadhi (ka) satam | tasmin haratadaneti harena dvilaksanetarasya trirupasya tadanam jatah sat tena prak sannavatyadhi (ka) sate kr (ha) te labdham dvatrimsat arthena caturnam sannam capavartane dvau trayah kramadadho'dho lekhyah | yathakramam nyasah ( 3 ) | vyavaharena tribhagonastrayastrimsat || , 1 atha dvitiyodaharanam yatha - carano daleti | carano - rupasya caturtho bhago 20 dalena - rupardhena sangunitah kim bhavediti | nyaso yatha - ( 2 | } | yadopari rupani syustada bhaganubandhajatih | atra tu dvaye'pi bhaga iti krtva bhagajatiriyam | tato'tra bhaganubandhoktavidhirnahi | tato bhagavadhe bhagenaikena bhagasyaikasya vadhe- gunane eka eva | tatra haratadeti harena catuskena dvikasya tadanam, jata astau | anenoparisthitaikatvad bhagam hartum na sakyata iti yatha- 25 sthityo paryekastadadho'saharayoruparyasarupasyadho hararupasya castau sthapya yathalabdham nyasah ( 2 ) | vyavaharena drammaikastabhagah sardhalostikadvayarupo jatah | evam sarvatra | bhinnapratyutpannah samaptah || 1 totakam |

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