# 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 34, page id 834940469:0042
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=42
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000042.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.
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# After the first blank line: the recognised lines in reading order, one per line.

260100
THEOREMA:
Eldem posiris, licincer A de Bmedisharmonica F. dicoc
maiorem esequam F. exhruius r3, Destad C ve C adF,
sedD maior est quam Cie ideo C. maior est quam F, quod
demonatrare oporruit.
CONS F CF A R EV M:
X duabus preceaentibus manifestum cst D maioreme(-
se quam P, hoc est mediam arichmericam incer duas
quancirates insquales maiorem ese media harmonica incer
castem.
PR O P. XR. YH BO R E M A.
Ine duo polrgona complicats
D A, B, nempe A incra circuli
vel ellipeos sectorem, B. CXETa. CO-
rinuerur series convergens: ho-
rum polysonorum complicaco.
rum secundum mechodum no-
Aram subduplam descripeorum;
icarepolrgona intra circulum (InC A, C, F, K, _C, dE CXEa
circulum B, D, F L, Xc; sicque seriei convergeneis termina-
tio scu circuli rel eilipleos lector Z. dico Z. maiorem esse qua
Crna cumerience excessus C supra A. sIC exCeNAS C supra C
quarta pars excessus C Tapea A d exceNIS E CuPrA C Quar-
ea parS exCecuS Cr lupra C; concinecurque hec leries in in-
Anicum, veeius terminacio (c Z. FxceNuS C. lupra A nipor
eAquadruplo excesISF luoea C; d ideo excesus F supE a C
maior est excesu CrTupra C, estergO F nlior quam CF: dein-
deexcestus F supea C minoc est qladruplo excelIS R. supra
E. _ideo excessus (7. Tupea C mulcominor est qua druplo ex-
cesTuS K lupFA F, ClEigICUP exCeNiS IE lupra F. maior excelu
FEsupea C; Cumque L. mnoc lic quan C manitestum cA K
praiorem esse quam HI: Coden peortus modo demonstrntue
in omni lerierun A, C, Li, A, C, Co, continuatione, terminur
GUICBX.
ROD: