# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 189, page id 175906937X:0213
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=213
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000213.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.81
# 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.

Quandoqu.
et onatl.
. velin op.
ectam, 1
1 bitariur
idere. I
P, Cui2
demprilie
(6, 1de0
addicilue
1ales.
erbolam
limplic.
OlaS dt
Pet eut
O5 d C1d.
2XCS 2P.
Ordina.
leld el
nam dide
riam lect
IFIaI pIa
rrens II.
DEOTSO
1
arallela
f1g. I.
C 3. L. 1.21
5
rquiangula lune eriangula F. OV _ FOS: CrIF = UE FO ad. per 4sex
OV, Ita FO ad OS. OVare CUI F O ipSI FO Sic aequalis, ti.
erit de  O V ipsOS, hoc est, rectae OT aequalis, parS FOL, 2 per 14
quod establurdum. Non ergo bitariam secatur recta R9 a dia- quinsi.
INCETO AO.
Corollarium. 7.
Acquehine maniteltum tic, quod, livelin una cademque ret
ad oppolicas yperbolisbina qualibet rectae sibi inricem ae qui-
diltances ducta sine, quae urramque bitariam diridit recta linca
per centrum eranleat seu diameter (c: Ouippe quae per medium
unius xequidistantium diameter ducetur, per medium quoque al-
cerius xquidistantium eransibie 3. Unde apparet, quo pacto datae 3 per 5C0-
Iyperbolae rel oppolitarum TIyperbolarum diametros quorli- rol. 5 hujus.
bec, lunulque ordinatim applicatas ad ealdem, nec non _E cen
erum, utpore quod binarum pluriumre diametrorum communis
incersectio elt, reperire liceat.
A2 3
THFO