L 3Po 3 
loh^ z% ciihi ordimtim afflicat^e aquahunttir quadrato partis di* 
am^triy five cuhus ex H qmdrato ex HR^ fi [ciL R // 
centrum circuli qtd per vert kern ParahoU tranfeat eam^'^deinde 
contmgdt ; Hac ejl Cur va ilk qam primus mortalium Nelius 
Nofiras reU^z dat£ a^mlem demonjlravit, eaq; occafione afui 
Primipes.Geometras dudum Celebris y ejufq; proprietates CI, 
Wallifius f/d fi^em Lihri de Cijfoidej & Hugenius prop,8^9 
de linearum Curvarum evolutione,^^///^; atri ingenio difyuifi- 
vere^ Quorumfcripta confuUt LeUor. H^c Curva utrinq; ah 
Axe ParahoU defcripta^ viz. V N L, V P Xy/paium cor//plec- 
titur, if^quofipomtur centrum Circuli^ qni per verticem A 
tranfeaty interfecabit rile PArabolam in tribus diis pun^is ; Spa^- 
tia vero ab Axe remotior a centra prsbent circulis non nifi una 
prater verticem puntto Parabolam fecantibus* 
His probe intellectisjam ad determinandum Radicum mme^^ 
rum accingimtiri Acprimtim deficiat fecundus terminus \ [itc^ue 
Latus rectum i, vel AY Inconjlructime V H i p, 
H R veroi(\ ; cumq) fi fuerit -j- p,^ V v erf us fupertora, 
ponenda fit \ ^ycentrum circuli extra fpatiumlNl&. femfer con^ 
fiituitur^ideo^fUnatantum radice explicabilis efi^ afirmativa 
fi — <^t negativa / -j- qu^ (juidem radices Cardani Kegulis 
invefligantur. Si vero fuerit — ■ p, V H = i p inferne pont-^ 
tury ac fieri pot^fi" utUK cadat inter Axem & Curvam VX 
vel V L,/ fcilicet Cubus ex f V Hyfive ex j p, major fit quam 
quadrat urn ex iq, five 2-7 p p p major quam q, quo in cafa 
tres dantur radices, du^ Negativa^ fi fuerit — q, ac una Ajfi,r* 
mativA earum fumm^ dqualis ) vel fi diu Affirmative 
unafj Negativa, Quod fi /^ppp minor fit quam ^qq^ 
i^na tanttm reperitur Radix , Afifirmativa fi — q, negativa fi 
4- q. Atq^^ hMpajfm docentur ab iis qui banc Geometric par* 
tern tract arunt. 
'Jam adfint omnes termini^ ac primum proponatury Exempli 
-caufa^^quatio hdc z^— z^b 4"Zp —o^O\cui etiam Figuram I. 
ddaptavimus. In hujus confiructione B C =: |b, VG— t AC 
c=r,^gbb, Vfi^bb, VHibb-ip,GH -^bb-ip w/ip-fbb, 
him H O^^aVb^—^b p vel ^ b p— i^jV ^at^^ HRfive dijtan- 
\ ' tia. 
