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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 14, page id 1047377675:0030
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=30
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000030.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.91
# 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.

nifectum enim esthoc heri posse, quoniam recta RV diridi
pocestin plures, ee ad huc plures parces in infinicum. Produ-
cancur rectae paraIleIIX DR, C. S,ST, Z.V, per curram propo-
Sicam in puncta F, C, B O, de producantur reatx F. L, C,H.
IN curram cangences in punctis E, Cn I, O, ad rectam L. E
in punctis L, M, N, O, qua parallellas proximas ex utraque
parceincersecene criam in punctis F, FI, HI, co, D. ui de ad pa-
rallelas proximas sine perpendiculares F.(, GR, IP. manite-
sum eA (ob parallelismum rectarum C R, S V) C:K essead
CFTuESV adCM IcuSB, d proinde rectangulum Sd, nempe
rectae C. K in SB, aequale eAt rectangulo C HI in SV, Sed re.
etangulum GFT in SV maius es porcione luperticiei erunci
insistente curve CI. quoniam GHI recta maior est curua CI
_ rectaSV aequalis es maximE alcicudini porcionis superh.
cicicrlindrici insisteneis curre C,I ob planum Ceminormali-
terbalem secans per rectam LE; d ideo rectangulum Sd
maius eciam estportione superticiei erunci insistente currae
CT: eodem modo probarur rectangulum RC maius ese
portione superticicierunci insistenre curvae C P. de rectangu-
lumm TZ maius erse superhcicierunci insistenre currae OI; et
ideo rectilineum RD C B dYZ. V mixcilineo circum scripeu
maiusesteoca rrunci superticie. Deinde ob parallelitinum
rectarum IP, SV, uc IP ad IHN, CCv CK velST adOI, ita TV ad
IN vel TX; ee proinde rectangulum SY nempe recte SI
in TX aequale es rectansulo rectae OI in TV, Sed rectangu.
lum BI in TV minor es porcione supertcicierunci insistence
currae lCn quoniam recta DI minor es curra CLe recta TV
aequalis cstminima alcicudini eiu sdem porrionis superficiei
trunci insictentis curre CI, ob planum seminormalicer basem
secansper rectam L Z; et ideo rectangulum S Y minus eAt
porcione supertcici erunci inlicente currae CI: codemmon
do probatur rectansulum R B minus esse porcione superA.
cicicrynciinlistentis currae CF; _ ideo reccilincum Y Y X
BaR mixcilineo inscriprum minus est incesra superticie
erun.