# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0092
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0092?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 76, page id 1047377675:0092
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=92
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000092.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.

quorum cum plano secanre communis interlectio PIV crian
culum; icem ee puncium X cre centrum granitacis duorum
junctorum truncorum, quorum cum plano secante commu-
nis incersectio plP criongulum: iunsatur recta XY, quebita-
riam secatur in puncto s; manitectum est punctum sene cen
trum gravicatis quatuor iunctorum cruncorum simul, quon
rum cum plano secance communis incerfectio est troperium
IVP D: acque punctum scenerum eriam est gravicatis recta
rum 273 72, simul: eodem modoprobatur a esse cencrum
Grauiracis quacuor iunctorum cruncorum simul, quorum cu
plano (ecance communis inter ectio cA craperium I∞dO, 
Ctiam rectarum ors rL. Simul. Cenera grauicacis as iungantuE
recta, que bitariam secetur a recca LZ in punccoz; manite
Rum cHt 3 cenerum eravicaris polredri inscripei esse etiam
cenerum gravicatis recearum omnium simul arcui 9r inscri-
prarum: eodem modoprobutur cenerum grauiratis polye
dri circum scripei nemper idem esse cum cenero gravicatis
omnium reccarum limul arcui or circum (cripearum. Sit cen.
trum granitaris porrionis Colidirocundiq, e centrum sea-
nicacis arcus 9r, 2, quod necectario eAt in recen IZ inter pun-
Cca X, 3: iungancur rects 14, 243 54. Ex concruccione 23 mi-
nor ea quam 24: ansulorum 1243 423 Ecmaior vel Calcem
nonminor 1243 e ideo lacus r4 maius cric latere 243 scd
24 maior cA quam 13; de proinde 14 maior est quam 13; hoc
eHt centrum gravitatis porrionis solidirorundi distac a ce-
ero erauicacis poly edri sibi circum seripei maiore incerual1o
quam cenerum erouiearis eiusdem polzedri circum scripei
distac a cenero erovieaeis similis polgedri inscripei, quod
eAt absurdum, maiore enim interualo distAnECenErA GraUI
catis polyedrorum inscripei e circumlcripei quam ailEAnE
centra gravicatis porrionis lolidi rocundi ee polredri cir-
cumseripei; de proinde nullo interuallo difeani centra gra
Hicaris porrionis folidirocudi de arcus circularis oy et ideo
idem est eorum certerum grauitaris, quod demonserare
oporcuit.
PIon