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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 394, page id 175905688X:0416
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=416
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 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.

394
A D D E F A N E N X V H.
a344 vicies et lemel surlolidum ex 2, mulciplicatum per quadra.
tum Cx V 2; 7220, trigelies e quinquies cubum ex 2, mulcipsi.
catum per quadrato quadratum ex V 2; X rT2, septies 2, multi
plicatum per quadrato cubum ex V 2. ee prorenient 2704. Unde
manifeltum (C, 2 L V 2 eACradicem quae litaIm.
Cxterum obserrandum hic est, postquam datum binomium
per numerum aliquem mulciplicacum aut dirisum fuerie, acque
ad aliud reductum, cujus radix jam sic invenca, quod, ad prioris
binomii radicem obtinendam, radicem inrentam diridere aue
mulciplicare oporreat per radicem numeri, per quem binomium
mulciplicatum fuic aue divisum.
Sic quoniam ad extrahendam V (3) ex V 242 + +23, ipsum
per 2 mulciplicarimus, se deinde hujus posterioris binomii radi.
ceminrenimus esse r. L V S; diridendum erit T L Y 8 per Y 3)
Cx 2, XHeEY 3) = L V O 228, radix cubica Cx V 242 + 225.
Mulciplicarimus V
242  1 127
per V 5, dc inrenimus
V 242 = 123, cujus radix eAt V 3 = L V 6 126; qua di-
128
risd per Y 65, everget V (6 20  V 05, Proradice ex
242
125
Mulciplicetum est V 242 L V 243, priimo per V 2, e deinde
per 2; unde licut invenca radix cubica 2 L V 6 diridenda sit per
V2, de prodibic V 2 + V 3, Pro radice cubica quaesita ex
V 242 + V 243.
Dirisimus V 3 3993- L V 6 17578125 per V 3 3. ecmul.
ciplicarimus per 16, ad extrahendam V (5): quare necesse estin
ventam radicem P. L V5 diricere per V 9 26, de mulciplicare
per Y (15) 3, ut hrabeatur rera radix Curtoliia ex daco binomio.
a 22a edL del2dt aaeeb
Le pelcnoiocau, eudlo cidlciolium aliquodim
mulciplicetur cubice, proveniat semper aliua binomium, cu-
jus parcium quadrata, a se inricem subdueta, relinquant cubum
disterentix quadratorum parcium radicis sire primi binomii. Id
quod