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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9 ekaka amsacchedad byadayastato dvandve rupam anyonyasya parasparam chedanartham - vinimaya vihitabhyam yatha ekatramsacchedadhastrayah aparatramsacchedadho dvau yatha ( | ) tataschedabhyam tridvibhyamamsacchedo vihanyat, yatha triguna eko jata- strayom'sastatha trigunau dvau jatah sat {6} harakhyah | dvitiye dviguna eko 5 jatau dvau | dvigunastrayo jatah sat ( 6 ) harakhyah | tata etau sadrsaharau samana- pankacchedau labdhau dvitrilaksanau tayoh samyojanam trimadhye dviksepe jatah pancamsah patcheda militatvat prak chedamsau bhanjaniyau yatha {} asyadho dvikopyu- ktarthatvada bhanjaniyah, yatha ( 1 ) athagretanadu (1) samyojana pragiva, yatha amsa- cchedavityadina chedavinimaye ekatra sadadho nava | ekatra navakadhah patu yatha 10 {? | 1) tat chedabhyam navasadvabhyam vihanyat, yatha navagunah sat jatacatuh- pancasat | navagunah panca jatah pancacatvarimsat, yatha ( 1 ) tatha sadguna nava jatascatuhpancasat, sadguna eko jatah sat yatha | tatah sadrsahare ti vidhih karyo yato hara eva sadrsa vilokyah, na lavah | tatah samanacchedanam pancacatvarimsallaksananam sadyoge jata ekapancasat, catuhpancasat chedah purva- 15 rasisatkasvoktarthatvad gata yatha (54 ) | athagretananka 18 yojana yatha-amsa- cchedavityadina | chedavinimaye catuhpancasadadho'stadasa tatha'stadasadhascatuh- pancasad, yatha ( | | ) | tato'stadasagunascatuhpascasat jata dvasaptatyadhika navasati tatha'stadasaguna ekapancasat jata navasatyastadasa ca | dvitiye catuh- pancasadguna astadasa jata navasati dvisaptatisca | tatha catuhpancasadguna eko jata 20 catuhpancasat | tatah sadrsacchedatvat purvavat sadrsaharanam lavanam navasatastada- sanam pancasadyojane jata navasati dvasaptatisca | prag rasicatuhpancasacoktartha- tvad gata, yatha {173 ] | sadrsacchedamsatvat evamarghatri bhagadinam sanjatadva- saptatyadhikanavasatanam samanacchedairbhage datte sankalite rupamekam labdham yatha 1 | yada haro na bhavati lava eva syustada tesam bhinnanam rupakhandanam kim karyami- 25 tyasankayaha - haravirahitetyadi | harena ekadvibhagadina yo virahito rasih sampurna eva yatha vaksyamanodaharane sad rupani tasyadha ekaschedakah svayam kalpaniya ityarthah | 30 1 4 18 54 1 udaharanam vrttottarardham yatha - 1 indravajra | sardhatrayam sannavapadahina- ruyamsanvitat sapta ca yojaya drak || '

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