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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
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# Lines: 32 recognised, mean confidence 0.91
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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longieudine; certia; quod, posita una perpendicularium
seu ordinarim applicatarum loco onitaris,  reliquis loco
numerorum, intercepta recta in D F seu curva asymptota
inter onitatem e numerum semper sit locorichmus numeris
c. 8. Posita C O onitare e C Ci binario, item CB ternario,
CII quaternario, erc; erit OG locorithmus binarii,
OB ternarii, OEI quaternarii, Oxc. Si describatur haec
curua exacte in plano solido, non solum eius ope cum recu-
la  circino invenientur inter datas duas rectas quoccun-
que mediae proportionales, sed omnia problemata imarina-
bilia de rarionum compositione etiam facile perfici possunt;
sed haec, quoniam facilia sunt, consulto omitro, lectorem in-
terim admonens sparium, contentum a portione pradictae
curuae, sua a sympeora e duabus or dinarim applicatis, non
habere rationem analyricam ad rectanculum illi inscripeum,
sicut demonstrari posset secundum renorem prop. LI. praedicti
tractatuli.
lae operationes non existimari debent areometricae, quo-
niam sola ope resulae ex circini non perficiuntur, sicut op
time obseruat subtilissimus Mathematicus D. Carolus Re-
naldinius in geometra suo promoro, dum tractat de nouis il-
lis lineis, quas Mediceas appellat; quod ut clarius fiat,
hic conabor ostendere nullam 2el aequationem cubicam posse
resol vi ope solius regula ex circini: omnis aequatio cubica
habet vel 2nam solam vel tres radices reales, quae si in-
venirentur ope solius regula et circini, seu intersectione cir-
culi ex linea rectae, linea recta circulum secaret vel in uno
si ee
em non
tne est ear lur
nro
1.