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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 261, page id 175906937X:0285
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=285
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000285.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.84
# 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.

2M
Aeis
IuS
di-
L. T B. IF. C A P. IE
Ad cujus specificam derermina
em elt
62
quenti Fidaca
plius x inicium immutabile punctum L., dlque cadem x a punca
a per rectam AL indetinité se exteere incem alut, sae lla
tus vel alsumptus angulus P AII vel F AFI. Deinde, quomiai
ex secunda parte Pheorematis VII constat, pradictam Parabo-
Jam ita esse describendam, ut ordinatim applicatxe ad ejus diame-
erum CincipsI A P parallelae, debeant que juxra aequationem pro-
Politam aquales esse quancitati alsumprae v, hoc est, x +7. F63
ducenda primum est recta C B ip(I A II parallela, ita uE parS rC-
eta L A, Versis A productae, ut _ omnium ip( x quidistantium,
veluE AC vel FIB Sic DCcognix. Ouo facto, cum quaeris recta,
quae poltir esse ipsi A P aequidistans ee xequalis, ac proinde expri-
miperx, uc, verbioratia, DHI, ad rectam C B producta, uti DB,
ZGUetUF ~- LC: ita porro e puncto C ducenda, _, secundum ea,
quae in praecedentibus explicata lune, consticuenda est Parabolae
diameter ab adverta parce iplius CB, quam est punctum F. in
recta GC, uE, Si GB indefinite rocetur y, BC, aliarumque
omnium ipsi A F. parallelarum inter eandem C C de rectam (B.
INTerCePEX ParteS exprimantur per . Atque ita quaelibet recta.
ipsi A F parallela, quae poltir esse n ad rectam C C producta, re-
luci DC, tic ∞ x + c. +=, hoc est, r. Cujus quidem quadratum
cum aquale esse debeat alteri aequationis termino, nempe, dy:
Aacim apparet, si Parabola descripta Foret ad dinmerrum C C.
KK 3
CujUS.