# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0178
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0178?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 94, page id 834940469:0178
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=178
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000178.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.91
# 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.

Jia auterendos quacrarum recte CP aequale es quacraris re:
ctarum GZ, CG. hoc est, quadraris rectarum Ci A, C+ O; his.
durem quadracis equale es quadrarum recce A G, aequales
eroo (unc recte CP, AO; cumque hoc semper ereniac in om-
nitus punctis curre hrperbolice FOT, manif: um est extiu
ius 3 Ccomencum hyperbblicum FHRS equale ese Tuperh.
cicicrunci super curua hyperbolica FGI lecrae aplanoperre.
cram L’Straneunre, e in anoulo Temirecto cum bale crunci
inclinanee; ex ioitur cum quadratum recex X sic suplum lu-
perhcicierunei, eric X radius circuli equalis superticiei co-
noidishyperbolicae genitae exrocarione curux hrperbolica
FOTcirca axem FS, quod demonstrandum erat.
PROD, SO. PROBLEMA.
Si curva hyperbolicaroretur circa axem conineatum; invenire
circulum aequale Cuperficiei ab illa curva hyper-
bolica rotatacenita.
Ie curra hyperbolica a C, que roraca circa axem suum
aceniusacum FiL. sionie superticiem; oporcec huic luper-
ficiei aequalem circulum invenire. Sit curux hrperbolice aC
cenerum L, vercex an alymprocon L. B: hyperbolam cangacin
verrice arecea ak equalis lemissi laceris recti ciu(dem hyper.
Bola: lic recta HIK rectae La Parallella e e qualis, quae produ.
cacur indefinice hyperbolam secans in R e eius alympco.
conZ. D in M; Q in illa sumaeur recta HV, cuius quadracum
aequale sic quadeseis rectarum HIR, FTK: deinde cenErOZ vor
cice a lichyperbols a V A, quae producarur donec rectam FC
A parallelam rectae Za incersecet in A; de leBmentohyper
Bolico F A V a Z. hiac aquale quadracum, cuius diaecerL:
dico X esse racium circuli quaesici. Sic hyperbolae invenca
alympcocon ZB rectam HV sccans in L, de ex quolibec hy-
perbolae propolicae puncto Pin verumque axem (si opuS elt)
Pro.