128 METH.FJCIL. AIVJE EXTEDIT. INTEGR. 



muhm a-l-p.v''. Simili modo fi , \t antc , Uko k 



omncs niimcri intcgri i , :: , 3 , u liibilitiian- 



tur , tum omncs fictorc^ trinomialcs , quorum numcrus 

 crit =: ;; , qui rcrultant cx form:i gcncnili 



fa'-2X y^ a(3. cof A. i^^ -+-.v.v T^p* 



fi in fc mutuo ducantur, dabunt produdlum 



(a-p.v'')' 

 Atquc idcirco , fi cx fingulis his Gdoribus rndiccs quadra- 

 tac cxtrahantur , carum prcxiudum dabit ipf-mi cxprelfio- 

 ncm a-p.v". 



§. 30. IIoc igitur paclo rcfolui potcrt f)rmula a-\- p.v" 

 in « fidores , quonim quilibct crt radix i]uadrata cx cx- 

 prcflionc trinomiali huiusmodi. 



y a"-2xfa^,coi: A. C|)-4-.v.vf^ (3* 



Potcd autcm radix quadrata cx liuiusmodi cxprcflTionc ad- 

 modum luccincle gcomctricc conlbui ; 



Erit cnim V ( V a*- 2 .v V a|3 . cof A . Cp^-.v.v V |3' ) — 



y {iy^ a . cof A . Cp - X i' |3 / -h ( ^ a . fln. A (p/). 



Erit crgo quilibct conim fiidorum hypothcnulii trianguli 



rccftanguli , cuiii? nltcr cathctus —Ya. cof A . (p -.vV |3 



ct altcr y a . fln. A . (J) , (juac cxprcflioncs in circnlo , 



cuius radius i^ V a , commodiflimc cxhibcri pofliint. 



Tib I. fig. 5. Fiat ncmpc circulus P QR .S T V ccntro C ct radio CP 



— K a ; diuidatur cius pcriphcria in 2 ti , (cu lcmipcri- 



phcria 



