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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 477, page id 175905688X:0499
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=499
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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 0.82
# 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.

hoc con
num,
le
D E RE DUCTTONE A OUAYTONAM. 477
adb∞- F 2, Sed cum sic h Aat ∞o V C. v, deberet, juxta determino-
tiones superiores, pesse X
s qVC. V
PYC. V-
 hoc eAt, ∞ F 10. Id
VO. V
quod cum fractio existat, transeo ad h ∞ F +, atque inde obti-
neo y ∞ ,= 87, hoc ett, y ∞ = 2, aut ∞ - 2. Ouorum qui-
demnon niliy ∞ -2 retinendum est, adeoque divilio tentanda
Per X X Hy X F B∞ X X = 2X F 4 ∞ 0. Ilxec aurem procedere
comperitur, oritur nam que pro quoriente x + - T X 3. L I X X 1
TX + 23O.
Fodem modo, si examinare velimus hanc equationem
X  = LX 5 - F ∞ 4 = 2 ~ 3 + 2 X N f 4 X f 8 ∞ O: GuOnIaM p
Clt∞L, 9~ I, Y∞ = 2, s∞2, F∞ 4, CEVDB, IAVeNIEUF
2B.
Sumendo autem h∞ L F, non poterit VQ. extrahi; quocirca
eranseo ad h∞ F 2, invenioque h Fore ∞ V C. V, ac B ∞ V =, ut
d b∞ L. Unde sic uc juxca dictam decerminationem ralorem
quaeram iplius y per hane aequationem
: 5.
13 = P7y  YC.VY = 2PYC. V
=3VC. V-
hoc est, 93 - Z yy - 5y. f 6300.
00
F quarequatione pro y nullus ralor rationalis invenitur praeter
2, ac proinde dirilio tentanda relinquitur per X X L y X L B D X X
=F 2 X f 2∞0. Comperitur autem hieri posse, oritur enim pro
quotiente xt- LX3 L LX N - 2 X. F 4. D O.
Exempla 2i C asus.
Esto examinandum, an haec equatio
6X -  L ∞ + -  3 ∞ 3  F 6a X - 3 X  4∞
dividi possit per aequacionem rationalem z dimensionum, in qua
mulli cermini deticiant.
000.
Cum