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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 153, page id 1032977698:0175
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C AP. II.
Analysis Infinitorum.
ec Z8 semper equales = h; tandem Cubtansens
primi e
ceptom A2; item subtangens secundi 70 ad
primi interceptam AO in ( 5, dOnCC exORtA SInE
duonora currilinca A, 12, F, B, dc AYP. DicO
haec ultima libi mutuo perpetim aequari.
Vocatis enim ZO: n; _ QT: m; NIE14, 6,
23, F, =F; quae est infinitesima, qua h in utrOq
currilineo crescit: Crie; n: B:: J: V; tum: m: B::
c: ; unde emerget mi =ne, eAt autem ex hy-
potheli area A, 12, F B = Omm. mi ec spatium
AYP = Omn. ne; unde constat propositum.
27. Nocari porest, _ Aach  F = ZO, FOFE
Derpetuo m Ln = ∞: HOC CHIML CATE EICC V = C + 1;
adcog. n: t:: 1: C + i; tum m: 1:: 0: e + i; ende,
explolis ex aequationum lese infiniresimis, et
Fati veritas clucescet.
28. Sit idem euerilincum P F, item aliud
ad cundem axem pOsituIm, AG P; CujuS HRC
est proprietas, ut O4 jusiter adaequetur prioris
subnormali g R: I; hujus indasetur CuBFanSCnS
: m; exit 6, 14, =0 = e; 2dC0quC m: l:: c:
0 = c; unde m e + le = mo, quare Fa404, 5, =: M,
erit 5 = m + l; adeoque quadrilineum A, 20, 7
P. Teu omnia me + Le aequabuntur quadrilinco.
30, 25, 27, V; Cujus HaeC eA Natura, Ut ad CINB-
las normalis D R ac axis AR interlectiones
R de V, _cC. elerata perpendicularis R, 16.
XquC-