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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 173, page id 175905688X:0195
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=195
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.75
# 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.

(Od1.
Ot
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uncd
ali
Deinde
quec
+TC
corum
+6-
ex du
lucl
in
ademe
c
odum
ade
1i
B
11
11
e
11
une
GOMMEXZ ARILIA LSBRUM LL.
173
quod instrumentum huic currae describendae inferriens est ad-
plicatum, demiltam esse suxer A D perpendicularem F NI. FC
quidem Cum F N, N A duxe Sine quancicates indecerminatxe ac
incoonita; roconnamx, d alceram y. Deinde, ut relationem
unius ad alteram inveltigem, considero etiam quantitates co-
onitas AB rel BD, _D P, quae hujus currae descriptionem de-
terminant; illam que appelloa; hanc vero b. Tum quia triangu-
Ium NE D est rectangulum, a quadratO ex D F, hoc est bb, au-
feroquadratum ex. NF, hoc est, xx, de relinquicur quadratum
ex ND, Icu bb =xx, cujus radix V bb = x x estipsa linea ND.
Porrodemissa ex B super AD perpendiculari B 9. Secabiturre-
eta AD ab ipla bitariam in g. propter aequalicatem regularum AB
ee BD, tientque triangula B gD e P. N D Similia. Unde cric ut
DE ad DN, hoc est, b ad V bb = xx; ita D B, hoc est, a, ad D 9
(Cu = V bb = X N. RC EE AD D = V bb = XN. CXFCTLII CLI A N
SIF ∞y, _ ND D V bB =XK, CTIEEOTA AD ∞ y-L Vbb = XX.
Adeout habeatur aequatio inter A D bis inventam, hoc est, inter
E Vbb - X X d y - - V bb = X X, vel, inteF == V bb =XX
Vb0 -XX seu
Vbb =XX _c y. Fe mulciplicatA vEraquC
aequalicatis parre in se, ut signa radicalia eranelcant, _ xequatio
ab alymmerrialibererur, fic 4. a a - = ab + bb - 2 aa X X , + a X v
=x X ∞yY. Oux aequatio si per cranspolitionem ac divisionem
Ordi-