xp5 MEDITJTI0\ES DE QJA^iTnATlBVS 



§ ^6. In omnibiis quatuor acquiuionum qundrntica- 

 nim formis in § XIV. delu-ptis ell qundnitum fcmirnm 

 mie ndiciim \el zrH-i^)*, vel =r ( — 'ip)*~H-ip' , 

 £i(flum autem mdicum \el — -+-^, \el — — ^- Si po- 

 nntur ^^pzz o ; fiet jf vel i^rr^-V— ^ , vel — H->-f^ , 

 \d =r-^V — ^, vel —-\-y-\-q. Si nutem ponntur 

 q~o . femper radicum vn:i fict — o , adeoquc eunnclcct , 

 et aeqmtio qundraticn degcncrnbit in aequationcm primne 

 dimenfionis , fietque x vcl — -f-p, vel ~—p: qiicm- 

 admodum ex in("pc(ftione tnbulac in § XIV. datae ftntim 

 patefcit. Scd hifce cnfibus fimplicibus (epofitis , pcrlequa- 

 mur (altcm tres cafus compofitos diucrfos , qui rcliiltnnt , 

 quantitntes H-lp* et -h^ intet (c compnrnndo. Aut 

 cnim efle poteft i)^— ip'j aut 2)((7<< 'p' , fcd tamen 

 ^ ^ o , adeoque ^ -+- /n' — J p* , fcu q ~ \ p* — m ; 

 aut 3 ) ^ ^ i p' , adcoque ^ = i p* H- *yi . Ne quis 

 autem cxcipiat , redam datam ( -h p vcl — p ) in diias 

 partes ita fecari non poflTe , vt fit rod.ingulum liib pnrti- 

 bus [q) mnius Dto pnrtis diniidiae (vp*), ndco.]ue ca- 

 fum tcrtium effc impolfibiicm ; moncnJum cfi , propofi- 

 tioncm ilhm faltcm vcrnm elfc , fi p)nnttir , Dium (c- 

 midi^fcrentiae partium efl^c dcbcrc Dtiim pofitiu"m. 

 Qiioniim autcm , practcr Dta pofitiua , etinm dantur Dta 

 priuatiua , caquc rcalia et alfignabiiia ( §. VII. jcqq ) • 

 vtiquc ficri potcrit , vt Dtum lcmidiffcrcntiac partium fit 

 Dtum priuatiuum , adc(K]uc fcniidiffcrcntia ~ V Dti pri- 

 uatiui (cu ( fiylo haiflcnus vfitnto ) qunntitas inmguiaria. 

 Qiio in cafu erit ct jaCtum partium [q) maius uto par- 

 tls dimidiac ( IpL ) , ct Jumma Dtorum partium mimr du- 

 plo D/o pards dimidiae (♦P*); quod vtrumque Iccus ac- 



cidit 



