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# Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a)
# Folio 40, page id 73061350X:0048
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=73061350X&page=48
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.90
# 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.

Lecu est sc raptu.
nes fiaurae et
verbasufficiunt, quin
pitius repugnant 
neque apparet moduis inveni-
endi punctum l, a q
caetera pendent.
inter im interatio apparet
describendi qualuor peripherias
transeuntes respectioe per
B, D, E, E B et se tangentes
cirviie quem expressimus: ita u
Hset quaelibet tangat
eas duas vicinas, alco perum
B  transiens per B tanget
transenates per D erper E. et
transiens per D transeuntes per
B et per C, et ila in caeteris
quod praestare non difficila est.
circuli autem se honguit, quecam
 differentiae
cum  dna rad et interrullum
sentrorum ita se habent, ut duo
ex ipsis ncexpohant tertitimm.
AC
recta AD, velcerminara, vel produc Ta Tumpro, Per F deteri-
bacur peripheria, codemque incerrailo centroC, in recta
AE velterminata velproducta sumpio, per D delcribatur
peripheria alio. Dein ex tiducatur ipsi AB Parallela (rel ex Fi
erioacur perpendicularis) FFI, Peripheria per P delcripea
Lecans in t, ducacurq; recta LIB, eandem peripheriam lecas
in I. POs ducacur recta lF, Lemidiametrum AB lecans in R,
_ IPE AR aqualis relecerur AL; vel eriam ipsI BH aequalis
ablcindatur C. L. Cerris deniq; K_L, interralloHB, (IVeLC
delcribantur peripherix, qua peius de scriptas cangene in
CO, P; ideoq; Perimeter abl; angulisconcinnaca, ri
debicurlineauric Ehguramenciecur elliphi.
Coroll. Licebiticai circa cacam lonsirndinen AC, e lati
rudine DAE qua lcinricom ad rectosacensleme in asicata
men uc ABmaiorsiEquam AC, HE,
bralem delcribere.
Repecicur nimirum proxima coneruetio ulqad inventu
punctum R; C quo uccenrro per B delcribitur peripheria,
prius deleripeas rangensinl, d I. Deinrecta IIti per ti pro-
ducitur, donceperipheriam ex Pde scriptam lecerinN, du
cicurgi recta NCdonce candem peripheriam (ccerinO, ut
ee recta OF, iplam AC. Secans in P. Denigi CentrOP Per C. pe
ripheria deleribitur, iplas ex Fec C, descriptas rangens in
e D. Perimeter ex arcubus quae le cansuur concinnata,
apparebicinstar linea uniusi ec acurius quidem
oralis tigurx excremum eritB, obrulius
NeroC