# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 294, page id 175906937X:0318
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=318
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000318.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.88
# 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.

294
E L E MI. C W R V A R U M
HIFq CTIA9
per 6se HIMg + E Ceu ∞8 seu L (HFg F FFO, I. C. +) HIFg, F CF9.
cunc.
ETIOq CHIB9
Flinc additis rel sublatis ab veraque aequacionis parte ae qualibus,
FFIM
ATIF
nimirum seu bisabuna, et seu bis ab alteraparte:
COTIM
CBHE erit
3 per 47 pri- F NI9∞ (AF. 9. F C F9, id est 3) AC q; icemque +
mi.
+ per 7 se-
cundi.
GMg∞ (BFg + C F g, id est 3) B C g. Cum que PrOPECrCA
FMI (E∞ A C; SE GM ∞ BC; sieque iplarum FM d C M dif-
per 47 pri ferentia FC, manifectum est iplarum quoque AC _ BC ma-
mi.
jorem superare minorem, ejusdem FC, nempeaxis tran(rer-
si, longicudine. Ouod demonstrandum crat.
Corollarium 2.
Ductis a quolibet FIyperbola puncto ad utrumque
Umbilicum rectis, qua angulum iis comprehensum
bitariam dividit linca curram in eodem puncto con-
cinsit; _ converlim.
Si enim qua angulum A C B bitariam dividic recta ICR non
contingat Hyperbolam in C puncto, secet eandem, steri potest,
L18. 20
aeque ita lalcem aliquo sui puncto, veluriK, intra FIy perbolam (it.
a elte
cundi.
per 4 se-