C 3P5 ] 
ut & in c^tiAYtx^ KiLdicesnon limitmtur a ({mntitnte b, Ajjin 
f^ativa vera fempcr minor efi quam^ ^h h -{'~^'\'^h, ma^ 
jor tamen quam ^ ih : maxima vera ex Nega- 
tivls fe mper maj or efi qtum V |;b b -f |p — jb, minor vera 
qmm V p -f* ib b — ib. Minor autem ex Negattvis fem- 
per minwitur cum mi nut a q'^ ant it ate q. 
In quart a formuUy cadente centro intra fpatimn L A P D ; 
fidua fmt Affirmative ac una Negativaj maxima ex Affirma- 
tivi6 major ejfe nequit qaam V p -f* 4b b -f- ib, minor quam 
y 9bb4"3p"|-tb5 minor vero radix ah hoc limit e mimiitm^ 
?n imta q uantitate q. Negativa aut em mino r efi qmm 
V fb b -f- f p — |b; major vero qmm V p -|- ^b b — fb. 
Notdndum Vero hie radices Negativas iibiq\ figno Ajfirmati-^ 
vo notari^quia he funt radices Affirmative quattior equatiomm 
illarumj in qtdhm habetur -|- h^ac ^figno contrario riot at ur ; ut 
fupra monui. Horum omnium demonfiratio ex eo conf ^qtdttir^ 
quod ubicunq\ centrum circuit R incidit in Line as Cur v as 
V P X vet V A L, ctrcumferentia ejus Parabolam tangit in 
punSto^ cujus difiantia ab axe efi V f V H, eamq\ fecat ex al" 
ter a Axis parte ^ ad difiantiam2^ W'^ cum vero centrum 
cadit in lineam DVD^altera ex radicibm fit ac proinde Cn- 
hie a reducitur ad Quadraticam^five adz^ —bz p o cujm 
radices limites defignant uhi evanefcit quantitas (\: ac quo mi- 
nor efi q, eo propius ad has limit es accedunt radices, ^adra^ 
tica efi etiam cum centrum cadit in Axe \ hoc eflj cum iq — 
ib p — - i-jW in prima formula ; vel iq =: 0-^7 b b b ib p 
infecunda ; intertiaimpoffihile efi \ at in^ quart a cum f q — 
a-^bbb-j-ibp; qtw in cafu minor ex Radicibtts Affirmati^ 
vis efi -jb, major V |b b-f p-|- |b ; Negativa vero V \h b -j-^p 
— -fb. In prima. Radices funt f b & | b + V jb b —p. 
fecunda vero formula ^^h V fb b — -p -|- fb funt Affirmati-- 
ve : Negativa autem y |b b — p — |b. 
Atq\ h^c in Cubicis fufficere pojfe videntur ; ob eximiumve* 
ro Vfum Methodiy qua ope TabuU Simium radices hartm equati- 
E e e onum 
