# 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 93, page id 168608546X:0111
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=168608546X&page=111
# Source image: https://digitale-sammlungen.gwlb.de/content/168608546X/jpgs/default/00000111.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 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.

SOL FVO R 
L.40Colu elc. HBCD
datumque puctum R se
TCenciam IOSIaL LILLL
in qua Rectaneuum ex Ak in HCr ad dupsum Cradrati CxCI.
Ouoniam resictentia Colidi ABC DEFCFT Parieti inAri, _C. 2d res
stentiam in puncto k ciusdem verinque fulci proportionem habee
compositam ex rationibus IA ad ACF, HA ad AL, _C HCF ad CI,
hoc est ex rationibus kA ad AF, TA ad AC, et HC ad CF; ratio-
RES anECM HA ad AI, _ TA aA ACT PEOPOTLIONCM COIPONUHEKA
ad ACT, CFOOFeSICtENTIA FOlidi ABC DEFCHI parieci intiri ad res
Rentiam in puncto k eiusdem verinque fulti in composita est pro
portione exrationibus HA adt ACF, _KC ad CI, in cadem scilicet,
in qua Rectangutum ex Ak inkC ad Rectangulum ex AC in CiI,
duplum ridelicet Duadrati ex CI. Ouod erat, ec.
PRO P. I X.
Ilindri, d Primatis vering; Fulci resictentie in reciproca sune
ratione Rectangulorum ex lonoitudinis portionibus.
Constat hoc Facile ex coroII. prop. 4. huius.
E R OP. X
De Conis, e Prramidibus
FFCHI, cuius loneudo
AC, cius dimidium CTI,
cans lonsicudinem AC
in portiones inxquales,
quarunt aiol Ak, mi
nor autem HC. DicO rC
FFCTIParieti infixi, _C.
ad resistentiam in puncto
Peiuldem verinque sulti,
ecc. in ca em esse ratione,
o afatuuo pachicl el. Sculcctluta dacelccula i
medio i crasdens verinque fulte in eadem est proporcione, in
qua basis daci solidi ad sibi similem hruram genitam exsectione
eiusdem solidi plano cducto per medium axim, ex basi solidi a qui
distale.
FdtO