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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 248, page id 1032977698:0270
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248
Analisis Infinitorum.
genS D T ad Cubtangentem Y 0
habeat rationem, quam r ad Z.
CAP. V.
eam Cempet
Hoc durem, juxta tradita 5. TOT. C ap. de
tans: esfiei posse sequentia palam Facient.
Sit isitur, uti loco mox allegato. A 9: H.
atque, ducta AK ips AB normali, ad ciin-
demaxem AT describatuE CUEVA AY N cu
jus applicata TY = AL: f, TL:
FEM CANSAF ReCtA N F S, ac sIE Sublans enS T S: b;
CruNE, (reluti S. FOF. Cap. de FanS.) ductis
diagonalibus B K X TL, donec sibi mutuooc
CUITEANEIM F, puncta D eC F in curra qux-
lIta  D F S adCOqHC C: N:: 5: b:: i: S PEOPTCE
triangulorum BCT, T AC, e II qD A
milicudinem: Sed ex hypothesi Fuie 5: t: : r: Z,
Quare de z: ∞: : r: Z, erGO rX = 8Z; IaIM VerO
ex suppolito 1 F C est parabola, ideoque
58.
Sed, obtriangulum T AF in A rectangu.
6 = ff+ X X unde prodit r X = X X
f aQUaTIO CUEVX NF A, quxe circulusigi
tur est; cujus subtansens T S est b=
rX
unde A5 seu b X  Y = 2 X.
2Y X - 2 X X
X
Jam autem, ex 5. 102. C ap. T. detans: _ sub-
sequenri scholio, est b = N: b:: g
5:: X: t: : f: y5
quare, in locum b ec b = x suffectis valoribus,
Crir