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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 170, page id 1032977698:0192
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.86
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17C
Analysis Infinitorum.
CAP. II.
nia x a ad Omn. ye, hoc est ita complementum
AFV ad paroboloidem A FO. Inde eadem,
gux 5. II. Octenta sunt, deduci porent ab(9.
tangentium auxilio.
5. 44. SIc Fig. XITZ. N. T. Cademque, quX
5. 32. C ap. I. Cymbola; adcoque cisloidis AKG
aquatiO X X = YZ, TCU X = YZ Z = X ZZ; Crit
ca ad intinitesimas redacta, juxta Schol. 5. 23.
3 X X C = 2 YZ0 = 2 X Z0 =Z Z e; Quae divila PCF
X
2, 2c loco Z Dolito y juxra hyvothesm, tum
_ l ipCi r = x substituro abibiF in hanC. 3y e=
260= Z e.
Jam rocato cissoidali inteoro spatio = k
lemicirculo intcoro = c, cum omnia lo CInE
omniaz e, (si utrumque arcam cisfoidis infini-
ca delignet) erit 36 = 2 k - k = k Ceu Cisois
Temicirculi. tripla.
HIOcnOtetuE; Situm omnia lo, tum omnia
Ze, non ad infinitum ciroidis spatium, sed ad
Partes ejus respectiras referantur, Forc AK p
 omnia 2c (hoc dicatur: f) tu AK 1O
omnia lo (hoc appelletur: p + f, vocatosci-
licet rectangulo PK MO: p) aC omnia pe=
APF. (HOC FAF = d) quare Cum (IC CX suPC-
rioribus OR. 3 y e = OMIM. 2 10 = OmN. Z C, Cxit
3d = 2 p + 2f.
f, seu 3 d = f = 2P, hoc est
triplum portionis circularis AP F, detractâ
TCL