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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 190, page id 1032977698:0212
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190
Analysis Insinicorum. C ap. III.
FL: X InFnITCSIX GF TCH RT: C, LT: 17
CFIT XG CCU YT: s- i; jam vero cum trianou
Ia XTL, MIRN, DHE, SNR, juXta
lemm. 20, nihilo equiraleant, reltabit Colum
Parallelopipedum GYZK N R F HI: = 5 X e - iX C
= 5X C, (ex eodem lemm. 20) pro solidi Buius
intinitesima; adeoque cinsula sive truncus quo-
vis modo per AO relectus in ratione ad alium
elila utrierq. e, ut omnia sa seu omnia rectan
cula LLTF.
Onde A Colidum sie ungula semiguadrantalis
per AO relecta, erit L L TCU S = OI PCH y, 2d-
COgHC SX = y x = recanSUICI MIL PF = XCC
tangulum OIF P; quare hoc in cale ungula se-
miquadrantalis AOFV algebraice per omnia
yX CHCTCtuE.
5. 20. Sit OC: d, _ BC ipti 10 Parallela,
erit CI: d +y seu C0 +OI, seceturq eslindei
Cus ipA AOF insistens plano seminormaliter
per BC transeunte, erit trunci inferioris intini-
tesima = dx e t x ye; ec ratio trunci ad alium
eiuldem latitudinis calculo designabitur per
omnia dx F x y, seu rectangula ex C. L in IL.
5. I2. Ouod si perpetuo fueric CI ad IL.
uc b adh, cric trunci interioris exlindrici, in an-
sulo, quem data ratio iplius b ad h determi-
naC, Der BC relecti intiniresima abfoluta =
dX t y X