# Leibniz Legible — https://leibnizlegible.com
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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 123, page id 1047377675:0139
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=139
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000139.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.89
# 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.

b
BD mulciplicata racionis AD ad DC inrarione P ad O: sIE.
queracio AB ad BD mulciplieoca rarionis E A ad DO in ra
eione P ad O, manifectum est FOB esse curuam in huius54
descripeam; _ ideo cubus ex lacere F A vel A B est ad inte-
riorem eruncum cylindrici recti super FOBa relecti a plano
halem seminormalirer secanre in recta P A UF P2,f. 3PC
 29 adOSClt AUTEM DE EA edDO ita ex posiciOne AD
velxHIadDC; d ideo rectangulum F A in DC aequale cA
rectangulo DO in RHI, cumque hoc sempertiac, manite
Aum est cxlindricum super ACB (cuius alcicudo FA) aequa-
lem esse rrunco inferiori cylindrici recti super FOBA relecti
aplano basem leminormalicer secance in recta P A, e idco
VeD. F3PCf. 2920d92 ica F ABF ad AC B.
Hlaecproblemata parcicularia a me lelecta lune tanquam
difficiliora e maioris momenciinter geomcrrarum inventas
rlera quedam a me nunc primum foluca;cocus namque archi-
medistractarus de sphaera e Crlindro Facile demonstratur
ex huius 3ad modum huius 46e aliquot sequencium; libee
de conoidibus spheroidibus ee cora Luce Valerii doctrina cx
huius2c; coca Culdinis loannis de laFaitle de Andcexe lac-
quec docrina ex huius 35 ee aliquoc sequencium: FacCOELa
menme nullomodo pocuisse invenire rationem inter CuruT
ellipticam vel hrperbolicam de rectâ, cciam (i in hoc tracta-
culo mulei diverli linc modi illas examinandi; ica uc Facile
credam hanc rationem esse non Analvrica de vnooradu ese
superiorem illa incer circulum de diamerri quadratum, sed
hioc demonstraru non elt edco facile. Non praecendo hanc
mechodumr inservire retolurioni omnium problemarum ir-
reculorium, quae infinita unc numero d ditticulcare, qualia
praelerrim unc illa de corporum ee superticierum sectione
irre sulari 3 planis, rel aliis superticiebus, incer quae tamen
lequens exhibeo lacis pulchrum, placer enim miscellanea
Judedam non prorlus inurilia hicadiungere.
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