i(J8 C O N S I D E R A T I O N E S 



VII. Sit |xrr 2 ct v^5 l^inc w — w ct nzzlhi. 

 Erit ergo 3 — loxixr— 5 — 32-'-f-40 2'— lox: feu 



^■^ $ z—szz-^oz^-^-iC z^-o et per i-s diuidendo 

 4 + 9-+-4--— i<5:c;*-i6 2;*— o problema folidum 



VIII. Sit fxzr. 3 et v— 5 hinc m — \bi et « — i». 

 Ergo smoc'— i5c;- 48:s'h-<7os'~i5x: feu 



x-{-i5--4-Oc'4-24-x;no ct pir i -z diuidendo 



l-{-l6z-\- 16 ZZ— l^z' - Z^z'' 1Z.O 



quae reducitur ad hanc formam 



{i^^z-\-6zzy-6oiz-\-zz)' 

 vnde fit, ccy^o-H.sVdo — (Jsc+S^;-!- I idcoque 

 z-=:'-^[';^f21T^-^ feu^r:-4+Vi5+V(i5-6Vi5) 

 yel s =1: v.-^-^-t-vt^^-K^Vii)— cof. w ct cof. 2 w =: -^^^';-"^''^ 

 ficque etiam hoc cafu problema eft planum. 



IX. Sit jxrr^ et vzr^ hinc in — iisi et «rr.^(j. 

 Ergo \— OfOZ^—icO^^-h-s — ^A^z^^oz —'i.oz fcu 



I— 5 c-TO 3^4-20.2'+» o^*—i(?i:;'—0 et per \—z 



diuidcndo 



\- jipZ—\\zz-\-6z -\- \6z*—o 

 at haec acquatio nonnili coaftrudionem folidam ad- 

 mittit. 



18. Quinque crgo cafus fumiis adepti , quibus 

 opc circuli ct normae lunuliib quadrabiics cxhibcre , 

 vcl hanc acquationem ^^ — -^ conilrucrc lictt : 



I. 



