# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/168608546X:0068
# Permalink to this reading: https://leibnizlegible.com/page/168608546X:0068?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 50, page id 168608546X:0068
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=168608546X&page=68
# Source image: https://digitale-sammlungen.gwlb.de/content/168608546X/jpgs/default/00000068.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.91
# 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.

10
DE RESISTENTIA
Ex Conoide Parabolica.
ABC, cuius diameter ba-
AS AC, aris veroFB, se
CCFUT POrtIODBE, cuius
diaeter basIS DR, aXIS
aucem GB. Aio resisten-
tiam Colidi ABC ad res-
stentiam solidi DBF in
cadem esse ratione, in qua
diameter AC ad diame-
EPLIM DF.
Resistentiam solidi ABC aequet FI, resistentiam vero solidi DBF X-
gnet I. Duoniam momentum ponderis HI ad m omentum ponde-
ris E, hoc est momentum resistentia Colidi ABC. ad momentum
relistentia solidi DBF, Cubus ScilicCE ex AC ad C LbUM ExDF,
proporcionem habet compositam ex rationibus ponderis HI ad
Dondus I, e longicudinis FB ad longitudinem BCr, hoc est Oua-
drati ex AC ad Ouadratum ex DF, ergo, re pondus II ad pon-
dus P, resistentia videlicet solidi ABC ad resistentiam solidi DBB,
ita diameter AC ad diametrum DF. Ouoderat, eC.
COROL L. I.
.Inc Facile colligitur resistentias Conoidis Parabolicae, _ ex ea
 L abscisse portionis esse incer se in subdup la racione batis ad b4.
sim, vel axis ad axim.
COROLL. II.
J. Licitur quoque Conoidis Parabolicae, et ex ea abscitte porcio
Lismomenta ponderum in sextupla esse ratione resictentiarum,
P RO P. L X VII.
Onoideos Parabolicarum ponderibus illis proportionalium,
Ls quorum momenta, simul cum momentis. ponderum Colido-
rum, ecc. eaindem inter se habent rationem, quam momenta
resctentiarum, momenta ponderum sune momentis resiltentia.
rum proportionalia.
Deducitur hOC ex PrOP. 12. huius.
ERO