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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 389, page id 175905688X:0411
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=411
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000411.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.84
# 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.

e
icur
1d
dec
re pone
oradi
1
A, B, D 2 Y, A ME, E, H, Y U, H.
389
Duarum si T X vel PY sumatur proradio, erit TR vel YR P
eangens anculi TX R vet YPR, erad. 19, 8 27 min. circiter,
distaniiae loci Solis in Ectiprica ab sEquatore.) Cum enim pro
di
LX inventa (IC V 1804646+214 16301184000, qua in
racionalibus sere eA 42223 7 5 21, _ pro T. R
V47119625 =5373, quae in rationalibus eAt 149F, 37 4
circiter: hinc, SIAAFUE T X +222, 7 ll’ad radium 100000, ica
TR T49Y, 37 4 ad quartuI 35518; eric 353 X8 cansenS anigu
liTXRrel YPR, consrnens quam prorimerangenti giad. 19,
E 27 min.
Et tantum de solurione Problematis, quod in specimen hu.
jus Methodi atterre risum fuie: quae cum talis sIC, uc ad Arich.
meticae quaectiones enodandas, non minis quam hd Geome-
triae Problemata resolvenda acque construenda delerriae, nOn
2bs re tuerie, si Coronidis loco hic subjiciam regulam quan-
dam generalem, ex eadem Mechodo deprompram, exrrahen-
di radices quallibet ex quibuscunque Binoiiis, radicem bino-
miam habencibus, gua una cum praecedenti solutione tunc tem-
poris prodiit; prxlerrim cum illa à nemine (quod sciam) antea
Tic inventa, nec ab aliquo ea in re cuiquam latistactum. CujuS
demonstrationem, qualis à me inventa est, breriter Cum Eub-
JuNetUTUS.
Recuta eeneralis extrahendi quastibet radices ex
quibuscunque Binomiis, radicem bino-
miam habentibus.
R A P A R A Z TO
lemos am dato Binomio reperiantur Fractiones, oporter il
fas, mulerplicando binomium per illarum denomimatorem,
Cneret u, exempli gratia, ad exrrahendam V (3) Cx V 242
= F23, mulciplico binomium per 2, es FcV 968. F 25. Simili.
TCF SI SIE V
42
25
primum mulciplico binomium per
CcC3