
pinville ganakyantra

pinville ganakyantra haah yantrik ganakyantracha eka varg aahe jyache varnan 1685 salapasoon kele gele aahe aanee 19vya aanee 20vya shatkat lokpriy aahe, jyaa chakanchya datanchi sankhya samayojit karnyayogya hotee asha chakanchya madhyamatoon ganana kelee jaate. yaa chakanna, jyala pinvils dekhil mhanatat, side livercha vapar karoon seet kele jaau shakate jeey 0 teey 9 datanparyant kuthehi ughadu shakate aanee mhanoon jevha countershee jodale jaate tevha teey pratyek firativeli, 0 teey 9 paryantchi sankhya jodu shakatat. yaa chake vahoon nenyachya yantraneshi jodoon eka naveen prakarchya ganakyantra yantracha shodh lagla. chake eka dishene firwa aanee eka jodani karate, tarr dusya margane vaja. 
ankamapichya punarvinyasacha eka bhag mhanoon, tyanni yantrik ganakanchi kimmat aanee aakarachya parimananusar ghat kelee jyavar ekhadi vyakti chaar moolbhut karye (joda, vaja qaraa, gunakar qaraa aanee vibhajit qaraa) sahajpane karoo shakate.
thomasche ankganak (1850chey dashak) aanee audner ankganak (1890chey dashak) yanchya yashane pinville ganakyantra atyant lokpriy jhaale.
operation.
"yaa prakarchya yantranche karya ichchit sankhya seet karnyasathi liver kinwa nobb khechoon purn kele gele. jode, vaja, gunakar aanee vibhagani heey firatya dholanchya madhyamatoon purn kele jaat hote. jodanisathi teey ekach dishene firatat aanee vaja karnyasathi disha ulatali jaate. gunakarasathi krantinchi punaravrutti jodanipramanech tyach dishene kelee jaat asey aanee vibhaganisathi tyanchi punaravrutti vaja karnyachya tyach dishene kelee jaat asey. dialchya done sanchanni ekoon vachanyache sadhan pradan kele. eka thikani ekunanchi jamaa jhaleli sankhya disun aalee; dusya thikani, ashee aakruti disun aalee jee jodali gelee, vaja kelee gelee, gunakar kelee gelee kinwa vibhajit kelee gelee."(karyalayin upkaran niyamavali, pru. 88)