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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 187, page id 175906937X:0211
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=211
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000211.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.79
# 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.

oinder 1.
emontim
la, UtBB
DEOTDDC.
EDEIB
CCMLIIM
Coia
AM, Qud
Uld X qu d
aim dueta.
rectâ V.
asec
tella
Quade
 invice
perbolo
e Guli
Ola e l
at 1 Ed
IE Guo9t
0 1b
oroinden
igues
VIID dB
E19.
 L 60 L C A P. TI.
sui puncto in Lyperbola esse. Si enim praerer D e B aliud quod-
dam iplius DB punctum, Cx. gr. X, in Hyperbolatoret, esset 2. per Coroll.
ZFip(iBF ac proinde e ip(D Faequalis, parstori, quod est ab- Praced.
Curdum.
rum esse: nempe, si, iildein positis, e rectangulis EBF, 6 C II
aequalibus, punctorum B e C unum in TIyperbola sic, et alterum
quoquetore in eadem vel oppolica Flyperbola, cujus ACymptoti
TunE AF _C AF. Ex eo enim quod aequalia sine rectangula F B F
_ CCHI demonstrabitur xqualia quoque esse rectangula A IB
d AK C eademmethodo, qua conversum supra octensum fuit.
ideoque si punctum B sir in FIyperbola, erie quoque = punCtuM 2 per 3 Bu-
Cin eadem aut in oppolica Flyperbola, cujus AsymPEOtI SUNE A F, jus.
AF, e vice rersa. Debinis aurem punctis in eadem linca, ut B
_ D, idem dictum ecto; imo e idem erit in eadem linea, li dicta
A2 2
puncta
Coollarium 4.
Facile autem apparet, e conrersum quoque propolitionis re-