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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 160, page id 1032977698:0182
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160
Analysis Infinitorum.
CAP. II.
ad parabolam AFO triangulum N FO com
plentem ut p - g ad g, unde rurtus paraboloi-
deon quadratura innorelcit.
35. Si vero quis aliam currilineorum in
triangula dirisionem expetat, altumto Fie.
XLTTTRXETV. in axc AP puncto quolibet B,
ducatur ex cotansenti D F. producxnormalis
B R, GUIX VOCCTUI Z, dC BF: h, _E POTTOCX
puncto B currilineo B F D A dirilo in trian-
Sula BD E ScC. aequabunt haec triangula iD-
cum curvilincum; e propter triansulorum
TDOdCTB R similicudinem TD: DO:: BI:
BR:: D F: F HI, TCU S: y:: B: Z:: W. a. HNdC Z I
Ba, Factaque MB ipA DO Parallelâ, ac
Cumta in Ca BC.  DO = y, _CC  FH  a,
cuiin C normaliter insiltat CL: h, idque to-
ties, donec per extremitates iplorum h seu
PunCtA XC, L, _C. delCLIBI GUEAL CUIEVA NKL. R,
exIt (paTIUM N ASB A aequaleomn. ha, quod
aequatur toridem Z u, seu rectangulis ex B R in
DE; ja B R in D E, est duplum trianguli
BFD, per elementa: qua triansula complent
trilineum iXtum A D E B, quod proindc
Omn. 2, quare omnia ha seu spatium N IIBA
2 Z
aegnatur duplo trilinei AD F B seu Omm. 2
unde rarix denuo currilineorum eransmutatio.
BC5.
Cioroll.