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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 96, page id 834940469:0180
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=180
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000180.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.86
# 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.

ratIONC CMMHI SECIIS HIL, TIMS HIR; eric eciam quadrarum rectae
Ie aequale quadracis rectarum III, IO; e idem quadrarum L
a verinque addendo, erunt quadraca rectarum IP, L a (hoc
eA quadracum recta I 1) aequalia quadraris reccarum IO, I
N. Za hoc est quadraris recearum IO, IY Peu ICBIT, hoc est
quadraco recia T6; lunc erso aequales recta Cll. TC; cum
que hoc lemper cuenine in omnibus punceis curua hrperbon
lica a TC, manifectum est ex huius 3 segmentum hyperbo.
licum FAaZ ae quale ese superticicierunci super curua hypce.
Bolica aTC seceae a plano per rectam LL. cranleunce ee inan
sulo Temirecto cum balc trunci inclinante; ee igieur, cun
quadracum rectae X sic duplum superticici erunci, eric XPa-
vus, dius circuli ae qualis superticiei genice a rocarione curuehr-
perbolice aLC circa axem coniugatum L. Ii, quod demom-
xana t
DROP, SF. PROBLEMA.
inuenire rectam aqualem curna Parabolica.
Iccurus parabolica 6N, verricem habens (n e axem C
O, cuioporcec rectum invenire equalem. Producarue
axis CO in A, ve C.A hac equalis semissi laceris recti, sicque
CK reca parabolam eangens in verrice d NR axi paraIeIIX
illi Occurrens in K: deinde sic recta C D angulum reCEUM 
GK bitariam dividenss hacque hyperbola A C verticem ha
DenS A, CCMErUI CS _ A (VIDDEOEON C O; PEOdUCACUF RECCEINI
Adoncchyperbolam se cer in punceo C lItque AF rCCEE C+
K ParaIICIIa: Aac eandem ve receansulum ALKC ad legmen.
cum hyperbolicum ACKC, ita reCEAO R ad recEaM Z; dico
reccam X equalem esse curue parabolice C N. Lx quolibee
CurDEDaraBOlICE PUNCEO M demittAnEuEin rECEAS CO, CRS
perpendiculareS ML, MEI, AcquereccA O Icyruam parabOli
camnormaliser secans in punsto ht, de rectis 6O, CK, OC
CAFECFS