# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-958803:0339
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-958803:0339?run=74
# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 169r, page id DE-611-HS-958803:0339
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 168v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=339
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000339.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 22 lines, status machine
# Lines: 22 recognised, mean confidence 0.87
# 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.

5
gulum sub segmentis PK et PL dabitur. Si L sit quantitas data
summa segmentorum illorum (sub signis proprus conjunctorum) dabitur.
Si 22= 2R datur, summa quadratorum (8Kg + PL9) dabitur.
Si 2
3 QZ data sit quantitas, summa cuborum (P k cub. +  scub.)
dabitur. Si 2 4
C
QR = 2 R R data sit quantitas, summa qua-
drato = quadratorum (Pk qg.  P Lg9) dabitur. Et sic deinceps in
infinitum efficiatur itaque ut R, 2. 2Q = 2R,
data sint quantitates et protlema solvetur. L. E. C)
d
LR, etc:
Ad eunden modum Curvae inveniri possunt quae tria vel plura abscindent
segmenta similes proprietates habentia. Sit aequatio Y3 + Lyy +
Ry- + 5=0 ubi Q, R et S, quantitates significant ex quantitatibus
quibuscungue datis et quantitate x utcunque constantes. et Curva ab-
scindet segmenta tria. Et si 3 data sit quantitas contentum solidum illo-
rum triun dabitur. Si
.-2h sit data quantitas, summa quadraqe
torum ex tribus ilis dabitur.