# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0191
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0191?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 107, page id 834940469:0191
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=191
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000191.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 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.

Der ACIKVE D f 202d9, quod demonctrandum eFAE.
Acque ex huius5 4 paralselopipedum (uper A B I. R cst 2d
Cylinaricum eiu ldem alcirudinis supeF AC IK vE P F. Q ad 95
hoc eA re P f 2Q ad OPFOC; e ideo parallelopipedum
P. FC
Tuper ABIK alcicudinis AK est ad eruncum superiorem extin.
Drici TupeE ACTK eiusdem eriam alcicudinis AK VE PP ef 3 PQ
2adQ; acque calis truncus superior idem est cum
interiore eiuldem cylindrici erunco relecto a plano basem
Teminormalicer secance in recta IK, e ideo eiuldem parallo-
pipedi ad hunceruncum inferiorem cadem eltracio.
Ex huius 293 56 e 5 manifectum est cenerum aequilibrii
AOure AC IK ica dividere rectam IK, VE parS vertuS IBE ad
parcem vertus R in rarione 3P,.  adP + 9 icem centrum
aequilibrii ciuldem ACIK ita diridere AK, uc pars verluS A
siE ad parcem versus R in rarione P F O ad.
In duabus praecedencibus, cciamsifacilicaris graria sup.
ponatur ABIE rectangulum conclusiones camen nonmi.
nus verxe lunc de parallelogrammo quoliber; nullo enim ne-
gocio demonstraneur ex aequalitare se analogia in magnitu-
dine e granicace eruncorum super rectansulis et eorum A.
ouris cum eruncis super parallelosrammis quibuscunque de
eorum hguris; quod eriam in sequencibus de Aiguris lonsi.
cudine intinieis incellisi relim.
DROD, 58. PROBLEMA.
TEAEF anguluS reCtUS AEqUE CuErA ADF caliS NAtUTX, ve
a (ducta recta DC ad libicum perpendiculari ad AF) Fa-
EiOLF ad CD sc mulciplicaca rationis AP ad AC in ratione
numeri im paris cuiuscunque ad numerum proxime minorem;
oporeet invenire rectum aqualem currae AVF. v. 8. Sic racio
E.F ad C D mulciplicaca racionis A F ad A C in ratione g ad
4: Acque (opehuins 2) ue recta AE ad curuam AF ita rectan.
gulum