# 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 113, page id 168608546X:0131
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=168608546X&page=131
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

Rsto Colo CcC. SBC DFF.
BCF, clas antoeste, ICC
Colidi lonsitudo I. planum.
ec. per mediam lonxitudi-
REI RIMN, abscisum ex
dato (olido segmentum, _c.
XLCDNM; cius genitrix
FIrperbola LCM, cuius axie
TII. Aio resiltentiam Colidi
ABODEF parieti infiri, ecc.
E
ad resistentiam in puncto Teiuldem verinq; fulti in eadem esse ra
tione, in qua OTT adTTT. GUOnIAI pIAHA ABFE, _E RLMNI
Rectansula sunt Parallelogramma aequalium basIUM F P, NNI,
ex alticudinum inaequalium BF, LM, Croo resictentia Colidi AB-
CDEF parieti infixi, _c. ad resistestriam in puncto Leiulde vering;
fuiti proportionem habet compositam exrationibus IC ad CC,
et Ouadrati ex BF ad OIadFALII ExLMI, Rectanousi sciliceE Cx
FICin OC ad Rectangulum ex TII in TC, hoc est ex rationibus TC
adGC, OC ad CI, _GHIad FII; sublatis igitur proportionibus
ICradGC, e GCad CI, repore proportionem componencibus
aequalitatis, exit iam, ve resistenia solidi ABCDEF parieti infixi,
Ccc. ad relictentiam in puncto Leiuldem verinq; fulti, ita CrFI ad
TII. Guod erat, ec.
SOF+DOR V
cuius genitrix FIrperboles
P R OF. L + L R.
Olidisperboe paret intixl, ac. relistentia ed seliltentiape
eiusdem verinq; Fulci in quouis puncto solidi lonsicudinem bita-
riam non dirimente eam habet proportionem, quam Rectansu
lum exaxe Liyperbola genitricis in lonsitudinis portionem dato
puncto, e basi solidi terminatam ad Rectangulum exaxe FIrper-
bola genitricis illius dati solidi seomenti ad parres rerticis, quod
plano abscinditur per dacum punctum, ex bisi solidi aequidistan-
ce in longitudinis dimidium.