# Leibniz Legible — https://leibnizlegible.com
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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 29, page id 834940469:0113
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=113
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000113.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.88
# 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 est ex praecedente craperium AB C F maius esse
o
mixcilineo BCSlicem _ traperium C FHIC maius ese mix-
rilineoC CP ( de trapexium GTTIK maius esse mixcilineo
CKMO de ideorecilincum ABC C KI maius est mixcilinco
BEMOP QST. patet quoque ex ancecedence rectilineum
ABDC F minus ese mixcilineo BCVY ae rectilineu FCFOTI
minus eNC mixrilinCOCC RS c rectilincum FY C: R I minus
mixcilineo CKNP, _ proinde rectilineum ABDELKI minuS
CAmiXEIlInCO BRNDRSVT: cumigicur mixcilineum BAIL
COnSiStAE InCCFrECFilinCA ABCGKEI, ABDFLRI e mixriline
BEM Y conLiCac inter mixrilineA AM OPOSTB, RNPRS
V XB, icem reCtilineA ABCGKI, ABDFLRI CONASEAREINCEF
ixcilinCA BRMODOST, BRNPRSVY, manitectum est mix
TilinCO ABKI, RM ZB, minore quancitare differre quam mix-
EIlinCA BRMIPOST, KHPRSVYB, sed horum differencia ex
suxpolicione est minor quam X. e ideo differeneia mixeili-
REOTUM ABKI, BIM Y, est muleo minor quam X, quod elt
ablurdum, ponicur enim maior quam X; nulla ergo est ditre-
renEIR INEeF MiXEILInCA ABKP, BKMT, e ideo equalia TUNE
quod erac demonstrandum. Eadem fere essee demonstrario
in duabus praecedentibus, criam  COnVeRIEAS CUEVA BK CACE
vertusrectam AI.
E F IN I TIO N F.L
IFuerie Rgura AB F P comprehensa a rectis parallelis
 AB, FF, reCtA AE Parallelis normali ee a B F lineo qua-
libet, icem Agura OFTK ComprehenlarectIS GH, OR, (ita
VE GH SC aequaliS reCt_ AB _ GR FCCEX L F) de linca LIK,
guae eciam aequalis est linea B E, hac lege, ue Cumpris ad li
Dicum lincis aequalibus BD, HII, iuncta recta CI hac aequalis
rectA DC perpendiculari ad rectam AF: appello figuram
GHK Aguram ABL.L involuram; et Eiguram ABFC Eguram
GFIK erolutam.
ApPCI.