# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0230
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0230?run=74
# 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 208, page id 1032977698:0230
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=230
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000230.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.90
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

208
Analysis Insinitorum.
CAP. III.
Tum ec, juxta 5. 0. crit truncus inferior es-
lindrici quadeanti AD I insiltentis, ac peE ML
seminormaliter relecti, Ieu omnia sy + ZY,
aequalis ungula in basi infinitâ conchoidali per
infinitam D o Ceminormaliter relectx Peu Om
nibUS X Z.
5. 31. Sit (FIG: XTTF. N. 2.) TemiciecutS
ADO, cujus diameter AO: r, A: X
0:  Ceu r = x, D O: y; item hunc spectans
cissois AN KC, cujus applicata N: Z; exit,
juxta calculum S., 3T. C ap. de Tansentibus, Xqu2-
tio currae cirtoidis lZ = x y; Unde Cx 5. 26.
Tolidum ex cissoidali spatio circa infinitam
almtoton O R voluro, Ceu omnia lZ, Xa
quantur Colido ex lemicirculo circa A F a(m
tato OR parallelam cotato seu omnibus yX;
aut juxta 5. 9. ungula Cemiquadrantalis in ba(I
cissoicali per OR infinitam relectae, seu om
nia lZ, requalis simili unsulae in Cemicirculo per
F relecrae, seu ommia y X.
5. 32. Ouomodo autem hinc Colidorum
transutationes plurimae leri opera obrincantur,
Facile quivis aniim advertit. Relummta enim FIC.
XXXIX. (ymbolisque S. 17. C aP. PEacCd. suP-
Politis, cum sIt perpetuo ye = ta, hoc cA,
polito ZO in IM, spatium AO F aequale
spatiO FKO, erit dc Siutrum que in y ducatur,