# Leibniz Legible — https://leibnizlegible.com
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# 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 80, page id 168608546X:0098
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=168608546X&page=98
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.87
# 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.

E E RBSISLBB
l
L
I T L R.
Voniam solida ABC,
FB P inaqualium sUNE
valium, ec lonsicudinum,
eroo relictentia Colidi AB C
ad reliltentiam Folidi R B F
proportionem habet com
poticam ex racionibus C ubi
ex diamecro balis AC ad Cu
bu ex diamerro balis F. P, X 10
Bicudinis CB ad longitudi-
Dem BD. Rurlus quoniam
provortio Cubi ex AC ad
Cubum ex F. P componitur
exrationibus Onadrati ex AD ad Cmadratum ex F. C, Ouadrati
scilicet ex DB ad Rectangulum ex CB in BDC, ec diametri AC ad
diametrum FF; est autem Ouadratum ex BD ad Rectangulum ex
GB in BDC in compolita proportione ex proporcionibus DB ad
BCi, e DB adBDC, ergo resistentia solidi ABC ad resistenciam
Colidi F. BF proportionem habet compolicam exracionibus DB ad
BC, (B ad BD, DB ad BDC, hoc est ex rationibus DB adBDC;
_ AC ad FF, camdem scilicet, quam Rectanpulum ex BD in AC
2d Rectangulum ex BDC in RF. Ouod eraL, _C.
P ROP. CXV I.
P
Emispilaerii, e Linspnates momencum Bolactis da
aL momentum ponderis absciste portionis eam habet PrCpOr-
uonem, quam solidum Parallelepipedum, cuius balis Rectan-
culum ex duplo axis in axim Hemisphaerii, vel Hemispheroidis;
altieudo veroeres octana parces ciuldem aris ad solidum par2VIC-
lepipedum, cuius basis Rectanoulum ex duplo aris Hlemisphaerii.
vel Flemispheroidis, simul cum axis seomento balibus Hlcinisphie-
rii, vel Hlemispharoidis, er abscira portionis intercepto, in ter-
ciam proportionalem inter axis Hemisphaerii, vel Hlemisphaeroi
dis, eaxim portionis; alcicudo autem sermentum aris portio.
nis, cuius reliquum dimidii aris portionis, simul cum illo seo-
mento axis portionis, quod puncto incercipitur arim portionis
Di.