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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 271, page id 175906937X:0295
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=295
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000295.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 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.
# 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.

jux
et
edi
ust
L F B. TI. C A P. II.
A C; CC, cognicum angulum C comprehendentium, utpoce
dato vel allumpeo aut ejuldem ad duos rectos supplemento aequa-
lem, cognica icemm sIE ratio, quam habet A C ad AC, gux SIE
uta ad e; crit, A C existente ∞, AO ∞ =
Per quam (IteF-
minus aequationis, in eorum cognitus, nimirum cc, diridatur,
Orietur prolatere recto. Ac proinde CiHat 6F∞ =, eticO F.
latus rectum quaesicae Parabolae, diametro C A correspondens;
atque iccirco si ad dictam diametrum, dictumque latus rectum
Parabola describatur, ut G DI, secans A F in l: dicoTDC CUF-
ram esse Locum quae sItuI.
Sumpto enim in ea punctoutcunque, reluri D, ductisque D F.
ip(I AFI, ac D BHI iplI A E Parallelis, si eadem D P exprimatur
per r, erit quoque AHI ∞ Y. Cumque lIEuE AC ad CC, id eAt,
uE a db, ita AFT ad FIB: erit FAB ∞ =, ideoque cum DFT seu
AF CIE∞ N, erit DB ∞ X - - Seu v. Similicer cum SIEUE A C 2d
AC, hoc est, ut a ade, ita A FI Peuy ad AB: erit AB ∞ , e
GA = AB sCuC B ∞ CCG
aa
 e
a. Hlinc cum ex natura Paraboles
rectangulum FG B sit aequale quadrato ex BD, erit, tacta multi-
aa.
plicatione ipsius FO seu = in O B seu
ee
aa
ey
a e iptiusBD seu
vin sciplam, cc - dy ∞vr. HIoc et, restiturox - = lOcOV, CxiE
CC- dY ∞X X -
26y  bbyy
a
bbg9
aa dvel
aa
L dy - 660
Ouod determinandum, demonstrandum que erat.
Y.
= X X.
Obiter aurem e hic nocandum, ut ex antedictis quoque facile
escolligere, alicer etiam diametrum G A acque latus rectum O F.
indagari poruisse, hoc modo:
Cum AFT indeterminate sic ∞ y, juxta primum Theorema hu-
jus ica ducatur AC, ur recta FIB, quemadmodum ee quae libet alia
ipsi AE parallela, qua inter AFI _ AC incercipitur, SIE ∞ = 3
ponaturque ratio, quae estinter AHI d AB Cimilesque, ut a ad e:
ddeoque cu AB indeterminaté (IE ∞
terminus aequationis dy
Pet