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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)
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e
CaP. IX. Analysis Infinitorum.
5. 2. Exorex hinc aequationes infinitesimales.
I. Terminorum infinitesimalium additionem
aut substractionem patiuntur, quod satis no-
tum est.
II. Dividi dc mulciplicari instar aliarum pos-
Tune per quantitares determinatas, indetermi-
natas, ac intinitelimas, neque ulla in his diffi-
cultas est, nisi Forlan in posterioricatu.
Sienim re = x e= ya; diridatur per c, erie
X
e: adeoque tota fit indeterminata;
ipse liquidem terminus e ex lemmate 12 a(I1B-
MabiliSCA, RON VeKO LMANIECLmS: cum infinI-
tesimae ex more praecedentium per aliunde con
quilitam requationem tolli ponunt.
Sin autem re =x e= y a per infinitesimam a
multiplicetr, ACE YaC= X a C = Y ad; Cx Qua,
sicet omnes termini ex lemm. 10. crancleant,
nOn Pauca tamen quantitates Politiras COncCE-
nentia deduci possunt, mediante hoc ex ipla
intinitesimarum natura procuenti lemmate.
S. 3. Si quorlibet in se mutuo ductae infinite
lime verb. er. aa e i, rurtum diridantur per
alias in se invicem multiplicatas intinitelimas,
VELB. SC. eI, QUAEUI NUMETUS PFRCCdeIEIUI
numeto unitate minor est, quod Cmerset
e
C