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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 346, page id 175906937X:0370
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=370
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.85
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# After the first blank line: the recognised lines in reading order, one per line.

DE COICENH AHDES
Similicer, mulciplico C D. b + X
per C D rel DC. b = X
+ bx L X X
bb F bx
Et tic quadratum ex C D, hoc est, HCDOFI. bb. F 2b X L XK.
Cndetalis emersit aequatio
aX F b X - F X ∞ ∞ b b F 2 b X F X X.
Ad quam reducendam tollatur verinque bX _C X X,
erieque ax ∞ bb L. b x. +
Deinde transteratur bx ad alterum partem, ur incognitx quan-
citates ab una _ cognita ab altera parre haDeanEuE,
_E AE a X =- b X ∞ b b.
Cujus utraque pars si dividatur per a = b,
InrenICEUE X ∞
. HIoc est, resoluca ae qualicate
En proportionem, erie uea =b ad b, I2 b ad x.
Id quod docet, ad producen-
dam AB ulque ad D, qualisre
quiritur, sumendam eAe C I ∞ -
qualem C B, Ita uE AP SIE ∞ a -- b3
ac deinde ad AI_ IC vel C B,
hoc eA, dd a - b e b, esse inve-
niendam zcium proportionalem
BD
Unde tale Formari poterit
Elcorema, supponendo rectan-
Sulum AD B quadvaTO CK C D
aequale else.
Si AB producatur ad D, ic2 uc rectanoulum ADB
Sic aequale quadrato ex CD: erit A C major quam
CB, _ excellus AI ad IC vel C B candem habebie
rationem, quam CB ad BD.
Cujus demonstratio eodem ordine procedic quo Analy sIS;
Sequendonimirum ejuldem reltisia, hoc pacto:
Cum
in D
X
1t
pt