zmM-AGiUAnm' co'K'STf(rh:m'j{s. 



■ZTX 



-tiir, eacdcmquc ita -transfbrmentiir . vt - Terminus lecnn- 

 dus , iieque \ti in acquiuionc gencrali refpondentc , deii- 

 cint ; qu;Kunq(ic libet triuni Midicuin pro priina airumta . 

 tres iiequatiouis tnuisformarne radices iianc intcr fe rela- 

 tionem tenere , vt -f- i /^^^"^^ i in:^^ ^ atque 

 adeo , vna radice cognita , rcliqur.s promtc inueniri pofle 

 Elft autem - ~'"^"~'' — - ^ h-^ V - i .V ^. Qunre cum , por!- 

 to finu toto — --i-i , et rcmiperiphcria circuli n: tt , fit 

 cor o^nziz cof. 2 7r — -}- i zz cof. 4 tt , aut in genere — 

 cof. aikTr, littera k quemlibet numerum integrum deno- 

 tante ; cof | Trrrr-i • fin. i^nzzV } ; patet , in aequatio- 

 ne cubica pura .r'**— «^— o , tres eius radices hanc in- 

 ter fe relationem tenere , vt-hi, — ^-f-V-i.yi; 

 — i-V — i.Vl; hoc efl: , vtcof. a^TT ; cof |7r-4-V-i . 

 fin. |7r ; cof |7r — V-i . fin f7t ; et duarum poftremarum 

 fadum efle vt (cof. | tt )" -|- (fin. §7:)* rr -|- i — 

 (cof 2^7i)', fiKftum denique omnium trium radicum , 



-Hi .(^=^-)(=^-)=: -f- I , eife vt cof ^ k ir. 

 (cof 2^7r)*~(cof. 2^7;)% feu vt cubum finus totius , 



cuius bafis , ( ~'"t --"^X ~'~'^~ ^) ~r , aequatur quadrato 

 finus totius. Breuiter : hic Cubus mentitur formam Cubi 

 Y.PT'ex§. XXXXl. 



§. 4(5. Similitcr aequatio generalis x'^^-}-a*~o.^ 

 habet quidem (uas tres radices , ita vt fit i).v— -^— -i.^z ; 

 2)x=:[^~'}.a- :^)x = i^-^).a{§. XXXVI), 

 huius fcilicet conditionis , vt fit funima radicum zz. o , 

 fumma fidorum ex binis — o , et fodum omnium vt — i ; 

 hae tamen tres radices non valent pro vllo quatuor cuborum 

 priuatiuorum in §. XXXXIII. defcriptorum (§.XXXX1V), 



D d 2 * fed 



