# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0102
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0102?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 86, page id 1047377675:0102
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=102
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000102.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.85
# 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.

in er
3
a anno 1651
vicrcte dea
30
que hoc semper iea eveniae, e primxe e tertix semper BnE
exdemierie, ve momenea omnium Pemicirculorum FfI nem-
De momentum iptius remisolidi B AD F ad moinenea om-
nium Cemicirculorum C II nempemomencum iplius lemiso.
lidi BCE ve omnes cubi ab FHI ad omnes cubos aCHI, quod
demonstrare oporruit.
EIOC TheOrema ab aCUEINIMO GECOMCErA R. P. ScephanO
de Angelis nuper invencum porerie eodem modo demon-
Arari de qualibee Colidirocundi parce relecta a duobus pla,
nis in Colidirorundi axe se invicem secantibus.
HIxc dicta linc de quancitacum curuarum cransmuratione
e mentura in genere; nunc accedamus ad applicationem
in calibus parcicularibus, quae cerrae Facilis ek, porest enim
nullonegotio ab Analrsta perhci; led nos rarierati Auden.
tess aliquando pure geomerrice, aliquando pure analyricer
aliquando parrim seomerrice parrim analycice propolicum
demonstrabimus; hinc enim Facile percipiet (a5ax LCCTOF
quid in omni casu exhibico agendum AE.
PROP. 46. PROBLEMA..
Invenire circulum aequalemi super ficiei conoidis Parabolica.
Icconoisparabolica genita ex revolurione semiparabo-
L lae ABC. circa axem AB; cuius superticici oporret inve
nire aequalem circulum. Producacur BA in D VE ADAEquaF
ca parslacerisrecri, cansacque parabolam in vertice A rC.
m. Cuos constrecta AF. ae qualis dimidio laceris recti; ee asC DB Per P. duCa:
s scans
Nallisus l
cur parabola DEK ordinacim applicata BC pr OdUCFE OCCUE
rentin K: Scque X recta diamerer quadraci aequalis segmen-
r0 porabolico A EKB. dicorecram Z esse radium circuli
aequalis superticiei conoidis parabolice genitae ex rorarione
Cemiparabolae ACB circa axem AB. Cx quolibeE PUnCEO CuFE
ux parabolic AC nempC M demirearur in axem ordinarim
ap