# Leibniz Legible — https://leibnizlegible.com
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# Title: Leibniz-Handschriften zur Nachträge LH 37, 7
# Folio 22v, page id 00068536:0044
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 21r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068536&page=44
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.84
# 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.

quaeratur ratio hujus ungulae H(C)B ad totum cylindrum
H(C) B C quod semper per Geometriam vel exacte
 vel quantum satis propinque fieri potest, imo
t semper habetur area hujus angulae dato centro
b
ex
cu legora
gravitalis figurae aequatur enim cylintivondr sectione
et
duct (C)B ducta
in AB (posito A esse centrum
gravitatis ipsius sectionis. Vabitoe fiat erus
pondus cylinter Q(C)B qui exacte repraesentabis
sstentiam ipsius corpurie sectionis contra rupturam
posito pondus Neius esse ad pondus  totum, quod
e
perpendiculariter trabem rumpere potest, ut cylinder
e
B(seu cubus H(C) B) ad tolum cylindum.
ungula
B C. itaque si sumatur B
2.
vel B(A) et
V aego BA
ex ea sustendatur pondus aequale
ipsi cylindio AB _(B
 et
C L (6) B
 pum seu
pengentiu
quod sit ad pondus H(C) BC. Cylindium Lventaliter
rumpens in ratione dicta; tunAB Lad CB
tunc ipsum hortzontaliter rumpene poterit. En
peu de mots soit la section quelconque BC, comme cerde
 demycere lo quarre triangle, d et c. soit  point
B et le plus bas c, et leur distance
osea
eperpendiculaire à l’horison BC et le centre de gravite
+
le plus hant
ou
d la section, A. dans l’hvrizontate Bd prenes B Vegal
s
Maintemaut
a aBA, et du point V suspendes le pords, qui soit au
poidsicapable de rompre perpendculnirement, cupme B)
on BV est a BC
de des que le poids  pourra rompre honizonta
lement. Dous le pords oan BC estant un cerele BV ou BA
par lexempre
Pere la moitie de BC. tonc le poidsonompant perpendieuluirement
dix fors catati
sera de 1000 liares, et Bd ferr estant
BNon BV, I pordhoonnsera de 100 liures
C
accorde doce e experience sit de le Thercher mosmemess car
stant de 2000 liures le poids
 get
ce udi
lariter