# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/168608546X:0115
# Permalink to this reading: https://leibnizlegible.com/page/168608546X:0115?run=74
# Title: [De Resistentia Solidorum Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis] De Resistentia Solidorvm Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis (shelfmark Leibn. Marg. 225)
# Folio 97, page id 168608546X:0115
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=168608546X&page=115
# Source image: https://digitale-sammlungen.gwlb.de/content/168608546X/jpgs/default/00000115.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 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.

DL. ID. O R V M.
au 10  d  d.
oldicobus Cbio, Velamaious Mous,n
milicer policis, e aequalibus, quarum balis communis, verticeo
in quoler anoct a ballah tion dirumente in eadem elt
proportione, in qua Rectansulum ex maiori axis porcione in axis
dimidium, ad Muadratum ex portione axis minori.
EcO COlidum, RC. ABCD,
cuius axis AC, communio
basis BD, medius axis F;
F. vero quodlibee punctiu
plano CALparallelo planee paceliam BD, CiII fguras esse
CFI, hoc est CuBIex B C ad Cubum ex CF, FC videlicet ad CF, 
Ouadraci ex FC ad Onadracum ex CF; sublatis ergo proportio.
mibus Le alse a ea repere gua calibem cope
nunc auasac  n preperena composicione addentem,
erit composita ex proportionibus EA ad AB, vel FC, d Ouadr2-
ei ex F.C ad Ouadratum ex CF, bis videlicet FC ad CF, sed ratio-
AeSFA ad FC, _E F C Ad CF PTO∞OREIONeM COMPONUNE AI ad FC
erpo resictentia in puncto P ad resistentiam in punCtO P PFODOr-
cionem habet compolicam exrationibus AF ad FC, _c F. C ad CP,
camdem scilice, quam Rectangulum ex FA in E.C ad Guadra-
cum
vero ad parcea oppoltas, reliltentia in medio axi ad resctentian
praecer R aris dimidium
A E.3 AF POdCIO F A
MINOT AuCeIM FC RiOIO
lidi ABCD resittentiam in
E ad reliltenciam in F in
eadem esse ratione, in qua
Rectanputum ex F A in
AE ad OuadraCuM exFC.
Ductum enim per puictum B
diamelri BI,_cC,HI. Quonia uagirelultentia in puncco L. darell
inter lelimiles, ex limile Penuo, Guatumalea Ha3 tes
Renciam in puncto F proportionem habet eompositam ex PrO-
portionibus PA ad AE, FC ad CF, e Cubi ex BD ad Cubum ex
relsutrrahencem, resictentia in P ad resistenciam in P in ratione