# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0123
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0123?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 107, page id 1047377675:0123
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=123
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000123.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.
# 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.

1
per ACIKVED  202d9, quod demonttrandum exae
Acque ex huius 5 4 Parallelopipedum super a B IK cs ad
exlindricum ciu sdem alcicudinis suDee AC. IK rc P if 2 3d 9
hoc est ve PF 2 Oad GPF2OQ; de ideo paralletopipedum
PIFO
super ABIK alcieudinis AK est ad eruncum superiorem cxlin.
drici super ACIK eiusdem etiam alcicudinis AK vE PP f.3PO
2ad4; aeque calis eruncus superior idem est cum
inferiore ciuldem cylindrici crunco relecto a plano balem
Teminormalicer secance in recta IK, _ ideo eiuldem parallo-
pipedi ad hunceruncum interiorem eadem clracio.
Fx huius 29, 56 8 57 manifectum est centrum aequilibrii
RourE AC IK ica dividere rectam IK, VE pars versus IsC ad
parcem verlus K in rarione 3P,F.  adP  9. icemcentrum
aequilibrii ciusdem ACIR ita dividere aR, uc paIS verlus A
sic ad parrem versus R in racione D. F  2d.
In duabus praecedencibus, cciamlifacilicacis creria Cup.
ponacur A BIK rectangulum, concluliones camen nonmi.
nus rera lunt de Parallelogram mo quoliber; nullo enim ne-
Bocio demonatrantur ex aequalicace et analogia in magnitu.
dine ee gravitare cruncorum luper rectangulis ee corum A.
suris cum truncis super parallelogrammis quibuscunque de
eorum tiguris; quod eciam in sequencibus de Aigurislongi.
endine infinicis incellisi relim.
PROP, S8. PROBLEMA.
E TEAEE anguluS reCUS CEguE CUrrA ADF calis RATuTA, ve
(ducta recta DC ad libicum perpendiculari ad AF) 12-
EiOFF ad CD sc mulciplicacA rariOnIS AE ad AC in racione
numeri imparis cuiuscunque ad numerum proxime minorem;
Oporcet invenire rectom aequalem CUEVA AVF. v. 8. SIcraciO
EF ad C D mulciplICaCA FaTiONIS A F ad A C in rATIOnC 5 ac
Hi AIEquE (OpChuIUS 2)ur recta AE. ad curuam AF iCa re et An-
BuLH
re
P