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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5 10 bhinnavyavakalitam- bhinnavyavakalite karanasutram vrttardham - krtasamahararasyoramsavislesamahu- rvyavakalitavidhane jnatapatinibandhah || 33 || vyakhya - bhinnanam - rupakhandanam sadbhagadinam vyavakalitopayamaha- krtasameti | vyaya ayamapeksate, tato rasi - ayavyayarasi etau krtasamaharau -vihitasamanacchedau, tato dvandve tayoh krtasamahararasyormadhye ya ayarasistasmad vyayarasijatanamamsanam sadbhagadisamutthitankanam vislesam patam pascacchesa- mankam vyavakalitadhanamahuh | sesam spastam || atroddesa vrttenodaharanadvayamaha - ekasmad bho drammatah projjhya vidvan ! sadbhaga tryamsakan bruhi sesam | sardham vyamhim sastabhagam tathaikam tyaktva tryamsenanvitadrammasatkat || 34 || 1 vyakhya - ekasmad drammato - rupakad drammasadbhagam tatha drammartha tatha tryamsakam - trtiyam drammabhagam tyaktva sesam bruhiti ekamudaharanam | asya nyasah | purva yasmad vyayah karisyate tadrupam nyasya purnani haravirahitatvadekaschedah kalpyah, sesanam bhaganam tasya puro nyaso yatha ( ||| } | atra krtasamahara - rasyartham prathamasadbhagasyarthasya sadrsacchedatakrtaye "amsacchedau " ityadipraguktacche- 20 davinimayena gunanena jatau dvau dvadasacchedau upari ca dvau sat ca | tatah samahara- tvadvimadhye paksepe jata astau adhasca dvadasa cchedah | prag rasisatkaschedaca bhajyate uktarthatvat, yatha (13 ) | tato'gretananke tryamsa {3} yojanartham punarapi "amsacchedau " ityadina cheda vinimayena gunanaya jatah samanah, ubhayatra sattrim- salaksanaschedah, yatha ( | | tatah samanacchedatvat adhah sattrimsad dvika- } 25 tvadupari caturvimsatyamsanam madhye dvadasasamyoge jatah satrimsat, adho'pi satu- trimsat | esa vyayankarasih samyojitah prag rasiryada ( ? )salaksanacchedasca bhajyate, yatha ( 3 ) | tata ayaraseh samaharatvakrte punarapi "amsacchedau " ityadina cheda- vinimaye gunanaya yatha {| } | atra dvavapyayarasi samanasatutrimsacchedau 1 malini | 2 salini | 36 3 36 36 36 |

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