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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 361, page id 175906937X:0385
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=385
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
# Lines: 63 recognised, mean confidence 0.85
# 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.

1C
elUS
DE MONSFR A ETON FBIS.
Cujus utraque pars si diridatur per a - F 2 b,
invenietur x ∞ a = 28. Hloc CA, relolur â aequalicare
in proportionem, erit uEa L 2 b ad b, ica b ad x.
Id quod docet, ad secandam A B in D, qualis requiritur, pro-
ducendam esse AB ad L, ita ut BPSc ae qualis B C; ac deinde ad
AI _ IB vel BC inveniendam esse ztiam proxorcionalem,
hoc est, uE A Y sic ad IB vel BC, licuL B C ad CD.
UIc autem pateac demonstratio, repetantur Analy leos restioido
Si enim per taec ipla regrediamur, incipiendo ab ejus tinc e desi-
nendoubi illa inicium sumplic, invenca limul erie via a dato, seu
concesso perreniendi ad quaesitum. In quem igitur finem binas
seguentes compoliciones, quarum altera Alsebra, altera 6C0-
merrix genuina elt, ob oculos ponere visum tuie, adhibira utrius-
que calculi interpretatione sire ad figuram relatione.
Compositio Alcebraica.
AAD, CDreIADEF
ADB rel DBCFI.
bb = 2 b X F X X.
Addatur verinque XX,
QAC, CD
critque c a X ∞
Compositio Ceometricz.
Finis Composiionis.
e HEA N -L ~ X 3
GC. D vel D
BDB- BCD VeIDR) i. C. d
bb - 2 b N.
DCBK
DCL, CDreL.DCDIFHCD
Auteracur utringere 2b∞,
DAI, CD HIBVeIBC
eriE S ax F 2 b x ∞ bb.
OAD, CDVeIADF. F
ECFE, per 3, 2di, a V = X X ∞
EDBrelDBOFI.
bb - 2 bX L X X. Per 6. 2di
ACDVeIDK
AddatuE vErinquC X X
OACD BCBR
CxiF, Per 16. 611 a x ∞ bb -- 2 b X.
Id est, reducta proportione ad
aequalitatem,
AC CB BE KDreICD
UE a 3d b, 1Fa b - 2 X dd X.
Et, Sumpris consequentium sc- casus
miltibus, vide Claium ad 22. 51i. d et se
AC CI BR. RC
ut a dd 2b, ita b -- 2 X dd 2 X. cper 2 se
Undedividendo erie, per 27quinti. cundi.
AI TC BC ZCD VeICR
UE at 2b ad 2b, it a b ad 2 X.
id sentre
52
2 per 3 se-
cundi.
 per 650-
cundi.
c Pet se
Cunai.
F per 17