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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 223, page id 175906937X:0247
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=247
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000247.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 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.

Un.
ul
L I B. I. C A P. III.
22:
alterum, uti in W, applicetur in statione reciproca ipsiOW.
eidem aequalis recta P R, neMPC VE AP, A R ipHS A W, AO
singulae lingulis aequales sinE, ac producta PR L Ilip( OcCurrRE
in puncto H, a quo si per centrum A ducatuE recta H AC.
Elliplicerminata: constat, per ea, qua ad Propositionem Fgtam
hujus libri demonstrata sunc, eandem II AG ese diamerrum ip (i
D E conjugatam.
Atque ita simul apparec, lingulis diametris suas quo-
que diltinctas conjusatas diametros esse, cidemque
diameero unam tantum conjurstam duci poste.
Corollarium.
Unde porro perspicuum fic, quo pacto per datum quodlibet in
Ellipsi punctum recta ducatur, gua currain in eodem ac in nullo
alio praecerea puncto continsat. Si enim ducta per datum pun-
etum e centrum diametro, inventaque alter a ipsi Conjugatâ =,  per 16h1-
per idem punctum recta ducatur invenex diametro conjusata us.
aequidictans: erit eadem recta ? Contingens quae lita.
I E E O R E M A XV.
Propositio 17.
Elliplm in uno coemque puncto praeter rectam,
umerro illi, qux per punctum e
jusaex, alia recta non continsit.
Contingae Elliplin CHIFO in
puncto C recta DCF, parallela
diametro GFI, quae conjugaca sIE
diamerro CF, per punctum C eE
2 per 4C61.
cenerum ductae: dico aliam reEtam.
in puncto C eandem FIlix(Im nON
contingere.
Si enim Reri porest, contingat
eandem quoque in puncto C recta
ICK, diametrogue P M, cidem.
IC R aequidistanti, alcera conjusa-
ea ducatur NO, (quae cum a priori
2
C
24 hujus.
quae paralteta est
cencrum duciru