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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
# Folio 21, page id 1032977698:0043
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# Lines: 31 recognised, mean confidence 0.80
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M
e
II
Analysis Infinitorum.
C X P. I.
De Curvarum tanrentibus.
NIE CuEra ADF, Cujus INtEFCCDEa
AP = N, applicata in dato quolibet an-
SulO F P: y, aC ducenda sic recta Z F curram
TaNTeNS IN P 3
Onde ex data currae reguatione inter applica-
tamy, interceptamque x constitura, Quaeritur
TP Peus, auc hanc tansentem dererminans P L
Ceut, quamazis portionem P Z, applicata F P,
ec tangente ZE interceptam, CZ Nob. Tugenit
inctituro subtancentem rocabimus.
In linea A e cumta ee intinicesima quali-
cunque crectâque ) D ipA P E PaE~IICla, du-
BAEIE F D aequalis e aequidistans ip(I P 9, qua-
retriangula ZPF, _C D II F crune Cimilia, ec
 L F. FL.
FP: PF:: DFL: F FL (CN t: γ: m. 1
IteM ZP: ZF:: DH: FD CCu+: 5:.
2:  = DF
m +m
Vnde patet _ ipTaS F IY _ D F eNe infinites-
MAS, Cum per numerum oni dato IaIOLCHS
inincdivisx, juxta Lemm. 7. Exponatur jam:
currae quaelibet aequario 2 r X = x x =: yy intCF
PF ec A P constituta, haec cadem inter intercep.
cam A Q scux = e applICaTAI D _ (CIt