# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 390, page id 175906937X:0414
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=414
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000414.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 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.
# 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.

DE CON CENH A NDES
lcemque
Uc AB ad AC, ita AF ad AC
a C - a1
CX
C quae subducta exc, relinquie
Einc propter similia AL C F D et OFD
Crit
UEF C ad CD, IC2 FC
1 2dC
Ac proinde per 26 sexti
mule. utrinque per a
add. Utrinque ce x
dir. utringue per db F ce
ab 
d a e = Ca C -- C e X ∞ d b X
da c F C a C ∞ A b X - L C CX
de HF d a e = ca0
db - F cC ∞ X.
6d
aa
DEC, OD DCD, FO
da c CaC = CC ~
Ad resolvendam hanc Fractionem, Fat ut e ad d, ita b ad qtom,
dac Lcac, da  ca
Sent c0
Deinde Hacur f. Fc 2d a, ita d Fc ad x. Ouod ipsum docet, uE
ex datis lineis inrestigetur quae sita linea A F, ducendam esse ex B
lineam B II ip(I F F D parallelam, donec occurreat productae
ACD in II. Cum enim Cacuendum (iEuE e ad d, hoc CA, UF C F.
ad CD, ita b seu C B ad qam f: patet hanc Fore ipsam C FI. AC
proinde (i Porro Hat uc f. Fc ad a, hoc est, uE AFI ad AB, ita
d-Fc seu AD ad x: manifectum est inveniri hinc quantitatem
qua sux linea A F; ita ut hic sicut in duobus praecedentibus Pro-
blematis demonstratio ex Pola proportionalium applicatione per
se perspicua (II.
Ouodsi aurem quis alio operandi modo aur eriam eodem sed
aliarum linearum ductu quae sitam lineam A P inrenire desideret.
obserrare poterir ea, quae a nobis in ancecedenti Problemate in-
dicata PuInE.
Caterum cum ee praxis hujus Problematis in exeruendis FOr-
calicus, chomatibus, promontoriis, aliitre, non parri ulus exi-
Atac: nimirum, ubi intlurio, mari, aut locis paludosis a Certo
puncto
AC
C
add. C D. d