# Leibniz Legible — https://leibnizlegible.com
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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 32, page id 175905688X:0054
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=54
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000054.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.73
# 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.

4 B O _ E Y R V X
(IC 2a am 
222 e transversum 2 m. Ica uc inde Facile sic il-
lam invenire per stum Problema ni libri Conicorum
Apollonii.
Duorum quidem demonstrationes perspicux sunE.
Demonsra. Lcenim, si componatur spacium aliquod ex quancitati-
bus, quas recto e tranlverlo lateri altionari, acque
etiam leomento diametri NL, vel OP, juxta senlum
Trmi, +2mi, e +3 i Theorematum primi libri Conico-
rum Apollonii, invenientur iidem omnes termini, ex
quibus compolitum est quadratum linex C P, vel CL,
quae huic diamerro ordinarim cst adplicata Veinhoc
exemplo, auterendo IM, qua est
 M
202 ab NMI, qua
et 2p= V00- F 4m p, relinquitur IN; cui si addatur
IL, quae est= x, tir summa NL; quae ideo erir
eio ejusdem
solurionis.
10
recta
pe
MBl
dian
edDi
le
A
e
a
HOC
9