# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 330, page id 175906937X:0354
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=354
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000354.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 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.

B3C
E L E M. C U R V A R W N
quo M A, vel qua ipsi in directum adjungitur, per praedictam
IR, vel eandem productam, si opus lic, interlecatur, centrum se-
Ctionis; e caetera omnia, mutatis mutandis, uc supra casu secundo
5. 2. memoratum elt. Nempe erit sectionis diameter in rectasD
e3
velSM (acque utibidem AML SCU F WV cCrat ∞ =, ita hIC SMseu
Fi P erit ∞ =: CUIM SIE HE AB ad AMI, hoc CAt, uE a ad e, ita BI,
hoc elt, v, adSM); critque porro semi- lacus transverum ∞ fec
respectire, ac ratio tran (versi lateris ad rectum, ut a al ad eeg,
velute et ad aa8.
5. 3. Sidenique Z assumpea Fuerit proy 8 = 8c, eric punctum I,
in quo DO. vel qua iphi in directum adjungitur, perpraedictam
IR, vel productam, si opus sIc, intersecatur, centrum sectionis;
e reliquaomnia, mutatis mutandis, ut paragrapho praecedenti,
ex supra casu secundo 5. 3. tusius expolitum est. AEque eorum
omnium demonstratio in praecedentibus explicite est compre-
hensa, cum termini de quantitates omnes hic cum prioribus con-
reniane, exceptotantum, quod, quae ibidem delignabaneur PeFX,
HIC (InEx B B, hoc est, v. Ita enim quod ibiCrat AB _ L Z ∞ X
hic eAtIB_ F. Z ∞ V; quod ibi erat DK de F X ∞ x, hic eARK
_ F. Y ∞ V; quod ibICrAE AM X F. WV ∞ =, hiC CASME E P ∞
2
; quod ibierat D O _ F WV ∞ =, hic estTO_E L P ∞-
Ouamris aurem secunduim Regulam accidere etiam posiC, ut
Vcompolita sic ex x B alia quadam quancitate, cui de incognitay
permixta lic; ita tamen, uc eo casu Z Colummodo ex y 8 alia quanti-
eate in totum cognita constare queat, haudquo quam tamen operx
pretium existimamus, casus omnes ed spectantes speciatim perse-
qui: cum ex iis, qua cam in Locis Parabolicis quam in polteriori
exemplo reductionis aequationum ad Formulas Theorematum
22m ec 13 ei superius explicata lunc, iidem illi casus per se manifecti
sinc atque in praecedentibus etiam omnino plene que comprehen-
dantur, sinimirum, (ubsticuro per omnia x locoy d rice rersa, ca-
dem x non per rectam AB led per eam, quae ex A ip(I B E paral-
lela ducta (ic, atque y non per B F sed per rectam ipsi AB ae qui-
distantem, delignerur. Ouod hic generalicer monuisse sufteceric.
AI