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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 68, page id 1032977698:0090
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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BE
Analysis Infinitorum.
CAB. I.
quandam astignatam ad se mutuo habeant; ac, ex
Oeleratâ recta OK ipsi OF normali, ducatur B5
tansenS curVam ABC in B; quaeritur iN OK puNC
eUm K, ubi PK tangens curram FPC in F rectam
KOCCaF. Sumta in curva ABC infinitelima BC.
ductaque OCO crir, juxta L emm. 40, F G sUX Cur.
x infinitesima: hinc ductis centro O arcubus BF
XE FL. CrunE juxTa L eMM. 38 eC 39, CT; BL, d
GP, FF, intinitesima; _ triangula, SoB_ BLC
item IOF _c F POsimilia. FIanEeFSO: OB: y
OF. ~, O5. F, OK: k, inAniresiX BL: C.
CF: a- FT: 1, 16:0. Inde OC: y + a _OG:
Z + 0. Quare politis quatuor infrnitetimis toridem
opuserit aequationibus, quarum prima (per: 39
LCMI.) t: y:: e: a, undee= ta; sccunda k: Z:
1: 0. Inde i = Z: tertia ex sectorum Pcu
exiangulorum OBL ∞ O FI analorid ortum du-
CiE, nam: γ: e: : Z: 1. Unde e=
a 122
+Z
2 y3 QMacc y y
I = 23 dC TandeM pyu O; UX trCS RquatO.
nes in cunetis hujus naturae problemaris obtinent,
uarcam Cuxgerie ipta currarum allinatarelatio.
52. Sit ea Verb: GP: UE Ed B (It ad O F perpe-
LuouEr ads; Crit adcor: 5: :7: 2, CCu5 y = YZ, CE
ad intiniressmaS: sa iro; unde 0=
a
at22
jy
ex praecedenti; undek =y; qui2 r2=i 5y. quod
monstrat hoc catu F iE _B S FOrC ParallelaS.