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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 5
# Folio 3r, page id 00068129:0005
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068129&page=5
# Source image: https://digitale-sammlungen.gwlb.de/content/00068129/jpgs/default/00000005.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 61 lines, status machine
# Lines: 61 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.
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# After the first blank line: the recognised lines in reading order, one per line.

sit
pondus
B5 in situ Erritontali positam
RE0o librarum quod Hrabem rumpat, infiti situ
et sit
horitontali e sit BR decupta ipsius BC B5 decupea
ipsius BC erit, debet P esse 1000 librarum, ut
rumpat, ergo pondus
erit 2000 liblarum
quod ramperet verticaliter
Demonstratio regulae meae de resistentia solidlorum
 missa ad Mariottum
ex Hypothesi rupturae uiniformis  lea dubitantem
A
sit Trabs AT infera mro horienta horirantalis
fixa muro MN perpendigulari, et i sectio communis
mari et trabis, sit planum qualecunque HFACE sit aliud
planum horizontale TEH, transicus per rectam E basin sectionis
HFATE in eotrans murum projncto delineetur planama
espectri rectae 
acens HCF) (A)C) F per omnia aequale simile et similica positum
ne plano, ciecto HFACE. ita, ut recta CD, AB FC; ilemque
recta respondentes +quemadmodum rectae CD. AB. FC
sunt perpendiculares ad HE, ita et ipsis aequases (+) (etD
(C) D, (A) B, (F) G sint perpendiculares ad eandem HE
in iisdem punctis D B, G
ravitate pondere praditum, et quidem fali
Hoc planum jacens intelligatur
ut aeque difficile sit ipsum
pondere aliquo vecti FB appenso elevare super pl nu
ra
At.
si BY
horidentem, circa axem HE, quam rumpere habem A
trabis 
quae horijontantat rum sedemo pondere , in eodem puncto T, vecti appenso
sempontur
His positis resistentia trabis perfecte repraesentatur resistentia
hujus ponderis, etiam parpartes non nam ut pondus resisten
tia trabis ad cupturam circa A est ad resistentiam trabis ad
raipturam circa F ita et recitenta gravi ob distantiam
vilatio.
a basi HE; ita ita vet resistentia ponderis in A) ad eleva
tionem est ad gravitationem ponderis in (F) idtemque est quodcunque
punctum in planof erecto, aut ei respondens in plano jacente
assignetur. Jam ponde resisten gravilatio pondenis 
ponderis seu ploni oravis H(F) (A (CE ita sitia eadem est, quae esset
si ex suo centro gravitatis, libere suspenderetur, ut (A)C.
e
H) ((FA AB(NEI et eo casu suspensum ex L, seu ex 
distantia ab axeHE, in aequilibrio erit cum pondere pC
suspenso ex distantia BT., si pondera P et (HCFDA)
suit distantis, BT et BL recipioce proportionalia pondus
autem ipsius (H) A (H) (FB (A) libere suspensi repraesentat re
resistentiam  per se consideratum repraesentat resistentiam
 rupturam pergendicularem uuti sifum at exhi
1
pbnsus quo h contaliter ei visistenti aequale, vel quo praecise
calitem numpi potet
diversam
nempe in sit