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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 224, page id 175906937X:0248
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=248
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.90
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

B E E MI. C U R Y A R. U M
CF diverta CIC, punctum N cum puncto C non coincider
ac per NVip(i L. M, ideoque e contingenti LC R, aequidistans dun
etalic PG. Calletitaque: punctum C, adeoque recta LC X in-
fra rectam P N B: nimirum, versis Fllixlens centrum. AC veris
e eodem modo punctum N, ideoque recta P N Q, intracon-
cingencet. e nempe, versusidem cenerum cader. quod re
pugnac. Non contingit erso ICRE PIliplin. Fadem de omnibus
aliis est demonstrario, ac proinde constar provolicum.
Corollarium.
Constat itaque   FIlipli cuilibetrangenti parallelas, xequi
distantes quoque elle diametro conjusata ei, quae per tactum d
centrum ducitur; de proinde ee ad diamerrum per tactum ductam
ordinacim applicast, atque ab illa bitariam dividi. e contra,
quae per cujulcunque diametri cerminum ducieur x quidistanscui-
ier recta, pel candem diametrum bitariam sectae, FIlipsm in
cocem rerihee Contingere.
L HT E O R E M A Z VI.
Propositio 18.
Si qualiber contingens productae LIlipseos diametro
cnicunque occurrat, atque a puncto contactus ad can-
dem diametrum recta ordinarim applicctur: Crit re-
ctangulum sub diametri portionibus, a CentEO PeE CON-
cingentem applicatamque abscistis, lemidiametri qua-
drato aequale, a COnETa.
Ouamcunque FIliplim OD, cujus centrum A, contingat in
puncto D, urcunque sumpto, recta DP, diametro PG Occurrens
in E; atque a puncto contactus D ad eandem diamerrum ordi-
natim applicata sit D C: dico rectansulum C A F quadrato se
midiametri AC aequale esse.
Sic enim primum axis diameter IC5, Sitque OWV describens, in
Cacione utituic, cum per eandem descriptum eAt punctum D; ita
uEO D incervallum Pemi-axi A C ae quale (IE, P R aurem describens
in Ctacione, ipsi OW reciproca; ita uc d curra puncto H, quod
nempe
per + C0
24 Bujus.
per 2C
23 hujus
per idem
2L
 oll.
per Corell.
praecedens.
5 per 4Cor.
13 hujus