# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0244
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0244?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 222, page id 175905688X:0244
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=244
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000244.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.91
# 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.

222
=L L N CTS CL a S. C A: O O F P. W
est eandem non nili pro communi criansuli rectanguli proprieta
ce esse habendam.
Ica etiam conliderando demonstrationem lupradicta proprie
caris circuli, quoniam ipla radiorum aequalicatem. in qua circuli
natura consictie, ommino exposcie, conrincitur candem proprie
catem Coli circulo competere ac cum eodem reciprocasi.
Similiter, si quis nacuram demonstrationis perpendat, qua
octenditur, quadraca ordinatim adplicatarum incer le else, licur
rectansula sub segmentis diametri: comperietur, eandem de-
monstrationem radiorum aequalicarem non includere, adeoque
proprietatem hanc non nili communem proprictatem circuli exi-
sere: quandoquidem _ FIlipli, cujus Circulus non nisi speciem
retert, ommino convenit.
Sed e ulum horum perpendere, cum in unirerla Machesi haud
exisui lit momenti, non inutile tueric sequencia, quibus cundem
quadancenus indicasse existimamus, in medium afterre.
Primo itaque, Postquam in quarenda aequatione proprietas
reciproca adhibica fuit, certi lumus eotam lubjecti nacuram hâc
ratione in ca ese inclulam; adeogue, ad aliam adhuc aequationem
2 praecedenti direrlam obtinendam, non licere ue ad id alia ejul-
dem subjecti proprietas adhibeatur, nisi accedat aliquid, quod in
pracedenti ae quatione nondum sic inrolutum: quandoquidem (IC
circulum commicti manifestum est.
2d0, Theoremata omnia, quae necessitatem subjecti inferune
ex propriecate jam ostensa, (uc, verbigratii, Prop. 48 primi li
bri Elementorum) qua que uc plurimum indirecte per deductio.
nem ad ablurdum demonstrari solene, postune directe demon-
Srari, dummodo ostendatur, propriccatem illam cum subjecto
luo eRe reciprOCAI.
io, Si quis ad solvenda Problemata naturam subjectiretinere
velit, commodissime id praeltare poterit, retinendo tantum pro-
priecarem aliquam, cum eodem subjecto reciprocam, quae aut
omnium Lacillime memoria mandari queat aut etiam Cimplicis
Ma exisTAE: CUII MInIIIE RCCCNUM (IE, uE is rerinendis omnibus
illius Theorematis aggraretur, quippe quae omnia Geometria
hujus Methodo certa arte ex hujulmodi proprietare deducuntur.
4o Hlinc eriam perspicuum eAt, quam parum necese sIE, libros.
qui Theorematibus reterri sine, conlcribere, qua auculum nul-
Iu
i
dur
10c0
III