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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)
# Folio 11, page id 1047377675:0027
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# Lines: 50 recognised, mean confidence 0.80
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# After the first blank line: the recognised lines in reading order, one per line.

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cea mixtilinea non lune aequalia; sie corum differentia a3
deinde mixtilinca RSTV52, H ∞ ZSLR, dividaneur a
rectis perpendicularibus ad corum bales 28, R a, omnino
uc in ancecedence demonstracione Faccum est, hac camen
legeut differencia receilineorum RESN TudZ, ySOTnVS2, icem
de differentia rectilineorum ZorMBSAX,  _  SBDFF,
limul, Cincminores quancitace a: manifectum c enim hoc
esse postibiles cumhee dirisio in infinicum Aeri pOtC. C2-
dem mechodo, qua in priore demonstratione rl TumuS,
demonstracur recrilineum RESN TuS2 maius esse reccilineo
 o  6Ba X, de reccilineum y SOTnV se minus esse
reccilincox om es a e. Frilce intelleceis, si data mixti-
lineanon lunc aequalia, (IE RS T V S2 maius alcero: manite-
cum est excessum reccilinei RES N Tu d2 supra recrilincum
t  s 2  68a F aequale ese omnibus receagulis re, Da, nus
F mur e58, Cimul, sublaco excellu reccilinei FoMZES) a
Tupra rectilincum y SOTn V d2: sed excessus mix-
cilinei maioris supra mixcilineum minus, est minor dicto
excestu rectilincorum, quoniam mixcilineum maius est
minus rectilineo maiore, de mixrilineum minus est ma-
ius reccilineo minore; ee ideo excenus mixtilinei maioris
lupra mixcilincum minus, minor est dicris rectangulis A-
muls lublaco excessu reccilinei F o n  P S a e supra recti-
lincum 7SOTnV 52: sed diera recrangula limul exhypo-
cheliminora lunc quanticate as ee ideo dicra reccangula li.
mul sublaco dicco exce (su muleo minora lunE quantitate a;
et proinde mixtilincum maius excedieminus muleo minore
exceisu quam a 3 quod ek ablurdum, ponicur enim a ex.
celsus mixtilinei maioris supraminus; non est ergo mixtili.
ReUM R STV d2 maius mixcilineoit e  st a F: AF (B HerI
PoceK) minus; manifectum est excessum reccilinei ForP
est a e supra rectilincum  SD TnV S2 aequalem esse omni
bus recransulis F, n, sd3 E. BX, nus limuI, sublaEO ex
celsurecrilinei RE SA FuS supra recrilineum t    6b1F:
(Cc