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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 104, page id 834940469:0188
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=188
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000188.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.87
# 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.

P XD P. 55. E _ F O R B M A.
IIdem pohris, quae in ancecedente: dico raxionem ROUrE
R, ACIK ad higuram AC F esse mulciplicacam racionis I
CF. in racione P, f.Cad P. F.X anrecedere ABIK eA ad AC IK,
ve PO ad Beodemodo ALCF eA ad AC. E VE Pus Pad 2)
_ ideO ABIK C(AEAd AC TK VEALCF ad ACL, _ permutandO
ABIK CA AA ALCE DE ACI ad ACE, aE raTIOABIR ad AI
C F CR COm POsIEA ex PaTIONE AK ad AF _E Cx raTIONC IK ad
CF. e proinde ratio ACIK ad AC F componitur ex eisdem
racionibus; acratio IR ad C F eA nulciplicaca rationis AK ad
AE inracione P ad O ee convertendo, rario AK ad AF cA
mulciplicatarationis IK 2d C F in ratione O ad P, d compo.
mendo, rario compolica ex racionibus A K ad A F _ IR ad
CE (nemperatio Aguex ACTK ad Aguram ACB) est multi.
plicata racionis IK au C. P in racione P ,F O3d P, quod de
monstrare oportuit.
P R O P. 56. Z H F O R F M A.
Vppolico ABIK rectangulo _ reliquis positis re in ante-
cedence, E luper Aguris ABITE, AC IU, SuppOnanEuF CY~
linarici recti, cuius verusque alricndo A B, icem (UDPOMCO
cxlindricum Cuper ACIR secari a plano ipli baM A C L R (Cd
minormalis de cam secance in recta AR: dico parallelopipe.
dum super ABIK eNC ad inferiorem eruncum cylindrici su
PEr ACIE vE +P, f.2 3d0. Supponatur planum lccans cy.
lindricum super ACIE produci ur lecec eriam paralleloxi
redum manifectum eltcruncum eius inferiorem esse prisma
eriansulore parallelopipedi dimidium. Demde hic rectan-
gulum AMTK cum inscripea linca ART calis propriCFAEISAVE
(lumpco ad libicum puncto E e ducta recta D F O ipsi A K
verpendiculari ee lincas ART, AC B Secance in punctis R3 C
Nem