# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068161:0040
# Permalink to this reading: https://leibnizlegible.com/page/00068161:0040?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 8
# Folio 20v, page id 00068161:0040
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068161&page=40
# Source image: https://digitale-sammlungen.gwlb.de/content/00068161/jpgs/default/00000040.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.82
# 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.

ser in hemis phaerio oestimad
difficilior nempe
per partes compamlio
so
vis in Hemisphae
ad vim in basin, ut
vis migesic ad vino
BC. at vis prior con
ponitur en quadrila
viribus in qradcilatera
ulpo BLMC. posterior
ex viribus in quadu
intera ut BnCO
tas vaa
consensiunt semper
bases quadriautero
run ut Ac potest
intelligi aequalis s
differant a ut allitudines
ind vis inquadrilaterum
pee est ad vim in quit. BLA
usvis in BN, ad vis in BL. vis autem in BN repreesen atur per
 et vis in BL perl quadr. BC. celerotas impressa
ut per BN est ut  impressa per BL ut
3L
p
da
B
BL
posito ax dif. sin. conpl.) et
As est quadrans at
(
rego (srraxidx
misph aeraud resistentiam baseo
quaddans ad summam tangeutrum gadio applitatarum
L ae
BA
qu
e
e
goi aeqe ax.
c
cujus sumima investriavi
a
est dimidia summa tongentium
ex allitudim applicatorum.
Ergo resistrutia
dx
qua ex quadratuta prbo