# Leibniz Legible — https://leibnizlegible.com
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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 61, page id 175905688X:0083
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=83
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000083.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 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.

REcU
CCuI
a
n da
L Y B E R S E C U N D u S.
nicas sic in puncto C; ira ut chorda CMC, _ SaDIEE2 va si,
YMI, aECUS C Y C daEx LinE. Ouxstio ed recidit, ut quam li-
buerit, quod
primo considerandum lic, cujuliram ex Oralibus jam radios o-
explicaris superticies ritri Y C figuram requirac, ad mnes, qui
Faciendum, uc radii omnes, qui intra illud existentee
ex uno nato
versus idem punctum, ut HI, quod nondum cst cogni- aeh, cou
tum, tendune, cerediendo se versus aliud punctum re- sat rursus
CipiAHE, ucF. Duippenullus eAectus est, rationem, duso punsto
qua hri radii refexione aut retractione detorquentur,
concernens, qui per aliquam harum Oralium produci
non postic. Acque facile cognolcitur, hunc produci
posse per certiae Oralis partem, paulo ante vocatam
3A3; aur etiam per ejuldem partem, nominatam 3 L 3:
aut denique per lecundx parcem, appellatam 2 Z 2. Ec
quiahae eres sub cundem hic calculum cadunt, pro una
Pariter atque pro altera punctum Ylumendum erit pro
iplarum vertice; C autem prouno ex punctis, qua in
iplarum sunt circumterentia; de LPro uno ex focis;
post quae tancum punctum HL quaerendum restat, quod
alter focus esse debet. Illud autem invenitur, consi-
derando, quod differentia, quae estinter lincas FX et
FC, se habere debeac ad disterentiam, quae es inter
lineas HIX ex HIC, licut d et ad e, hoc est, uc major li-
nearum, quae vieri propositi retractiones metiuntur, ad
minorem. Ouemadmodum ex harum Oralium de-
scriptione perspicere licet. Ec quoniam linex LY e
EC datae lune, dacur quoque iplarum differentia, ee
per consequens ctiam illa, qua est inter lincas FIY ex
HIC: quandoquidem ratio, quae inter duas hasce dit-
Terentias consictie, data cst. Ammpliuis, quia YML est data,
datur quoque dicterentia, qua estincer MHIeIIC; 2C
candem, quia C MI est data, superestcantum invenien-
dum MHI, lacus crianguli rectanguli C M HL, cujus la
EuS
puncto pro-
Ei altero