# 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 118, page id 1047377675:0134
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=134
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000134.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 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.

T+8
CB in ratione P ad O. SF FN equalis rectae B A, icem anouluS
rectuS FHR e curra FK calisnaturae, ve (ducta recta quacun-
que HIMI paraIIClAreCTE FN) PAEIOHIM ad FN EEmulciplicata
rationis RM adKNin racione P ad 9. copleatur rectansulum
FNKI producacurque MEI in C; de ducatur recta D A, ita VE
DE Cc aequalis rectae HM, de ideo F A aequalis erit recta
CTI. RatiOD F ad BA CCuFIM ad FN es mulciplicararario.
nis CD ad CBinrarione P ad 9, acque ratiO FIM ad F N eAE
mulciplicacaracionis RM ad KNleu LC adIE in cadem rario-
ne Pad O: _ ideove CD ad C B ita IC, ad IF, eAque reiK ad
CHIita AC ad AFs _ id eo C ex huius r4) ve rectangulum
FK ad ASuram FFTKI hoc eA (ex huius 54) uc P, F. O ad P ica
aecus BC ad axem hgurx AFC evolurae, qui sic F Preliquis
manencibus uc prius, licq: curra FTK calis nacurae, ve C ducta
recta quacungi SrII parallela rectae LI) IF Sic adST ut Agura
FtIulad tguram FTIC. Dico Aguram FTKI eNe spacium spi
rale AEC crolurum. Manifectum est constructione rectam
II esse axem Agura AF C euolura; codemque modo (rE
prius oMenlum cst) demonstracur rectangulum FFI esse ad
fOOTAM INSCrIDEAM FFT C UE AECUS L F ad aXCM (IOUE~ A P
evolucae. RacioFI Seuaxis ABUEX AFC euolurae ad axem A.
Gurae AF erolurae est compolica, exracione rectae F I ad oY.
CU BC sEW AOUTA FFTKI ad rCCtaNGUIUM ANKI, ex racione
arcus BC ad arcum B D scu recta IF ad rectam FC. (quod C
probo, ve CDad C B ita IC adIF, e diuidendo, de con
vercendo, ve C B ad BD ita IF ad FG) Peu rectangu
li FNXI ad rectangulum FNMC, ex racione arcus BD
ad arcum L. E seu recte D a ad rectam F A nempe rectE
CMad rectam CTTT seu rectanguli F NM C ad rectangulum
FSHC, de exracione arcus P L ad axem AgurA AF cuolUTE
leu reccanguli F.SHIC ad Aguram FHC; ac parec rarionem
Asure FHK Lad Aguram F. H C componi ex eildem rarioni
busu de id eore Flad axe Agurae AF erolucae ita Agura FFIKI
ad Aiguram FII Om hOC CAVE F L adSY relEV, estisieur LV
aRIS
Ca