4-a 



DE EXTRACTlONE RADICrM 



<ia- 



prima dabit hanc aequationem p* -\- 2 a pp - & p V -c 

 -f- rt # — 4 £ rr o ob r zz V - e. 

 Sin autem aequatio defideretur , per qimm q dcterminc- 

 tur , quia eftpzzV{nq-a} aequatio prima abibit in 

 hanc : 



q q — b — 2 V ( a c — 2 c q ) feu 



q* — a.bqq-\- %cq-\-bb — ^aczz o 

 cx qua, fi rcpcriii potuerit valor pro q crit pz 

 atque r— H-V-C. Deinde vero fit a — — /> , S — </, 

 ct y — -r. Inuentis crgo valoribus pro /> , <? , ct ;• , 

 aequatio fcx dimenfionum : j 6 -\-aj+-+-bj*-i-czz. o re- 

 loluitur in binas has cubicas. 



y'-{-pj-\-qj-+-rzzo 



j*—pf -j-qj — rzz: o 

 quarum radices (ingulae crunt rndices quadratac cx radi- 

 cibus huius acquationis x* -+• ax' -h-kx.r+-czzo. 

 Litterac autcm />, </, ct r a cociiicicntibus cognitis # , 

 £ , ct c ita pendent vt (it azz-pp-\- zq ; bzzqq-z 

 pr ct f~ -// ex quibus eliminando /) et r nafcitur ae- 

 quatio fupcrior : 



q*—zbqq-\- $cq-\-bb- +ac — o. 



§. 30" Vt vfus huius cxtractionis itliquo exemplo 

 illuftretur , pono x habere valorem ex hac acquationc : 



.v'-h 3 .v.v-1- 6x— ~S ~o. 

 Qiurc, vt torma ipfius x ob oailos ponatur, radices iftius 

 aequationis cubieae inueftigari oportebit , quae commodif- 

 fimc inucnicntur ope fequentis regulae in Tranlact. An- 

 glicanib traditac. 



Si 



