# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0130
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0130?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 46, page id 834940469:0130
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=130
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000130.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.92
# 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.

auferatur quadruplum conorum ad verricem dAEOrUM FFI)
DE Ci relinquetur Colidum quae licum rocundum FO C N. Si
vero daretur cenerum pravieatis lolidirotundi ABC _ cen
erum ablaci A F K; darecur eriam cenerum grauicaris portio-
nIS FRCB, quo daco rna cum cencro grauieatis conorum ob.
Arahendorum, darur eriam cenerum gravicatis porcionis ex.
cauaca quae cum Colido rocundo LOC N est proporcionali-
cer analosa, ve liquer ex demonstrarione; ergo dacureriam
centrum graviearis Colidi rorundi FOC. Sunc eriam aliihuius
propolicionis casus, sed hoc incellecto in reliquis nulla rE-
Cac disticulcas.
PIOT. LL. PROBLEMA:
 le solidum rocundum sectum per diametrum A F, plano
normaliad basem circularem a diameero BC, d inTEF.
sectione cum plano cRiciens Rguram BAC. SIE FAF CF
parallellogramum, _ describacur linea A L D eiuS MACuTA
ve ducta recta HIL. vecunque b2(i B C parallella, rCCEX HIK,
TK, FL, Ene continue proportionales. ex data (olidi rocundi
ABC ad cylindrum darum ratiOnC, OpOFTCE AGUTA ALDFR
quadracuram invenire. ducacur recta vecunque HIKL. N: qua
drarum a lacere IK, hoc es rectangulum FIKL. CA quarta PaIS
quadraci exIN; _ ideo rectangulum TIKL. eA ad circulum CX
diametro INin rarione compolica ex racione subquadruxla
ee exracione quadraci diameeri ad circulum; sea punctum R
lumprum estorbierorie; de proinde cylindricus rectus ex ba-
sC ALDFK in alcitudinem HIK est ad solidum rocundum AB
C in racione compoliea ex ratione subquadrupla e exracio-
ne quadrati diameeri ad circulum; e ideo quadruplum cy.
Linarici prae dicti cst au solidum rocunaum ABC, ve quadca-
cum diamerri ad circulum, hoc est, re parallellixipe dum re-
etangulum ad cylindrum ejusdem alcicudinis sibi inscripeus
et permucando, quadruplum cxlindrici est ad parallellipi
pedum