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# Title: LBr. 258 · Fardella
# Folio 231v, page id DE-611-HS-971120:0468
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-971120&page=468
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-971120/jpgs/default/00000468.jpg
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# Lines: 28 recognised, mean confidence 0.90
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combinationes, seu per solas X, y, 2, (3 e sic a b = X y - 32. Itaque
licet centum essent literd, a, b, c, d, e, et nihilominus omnia eaium
producta habentia hanc formam a b simul sunta aequabantur facto
ex summa singularum, in summam binionum duita (Xy) a quo
detractum sit triplum summae ternionum (37) Usus sunt innumeri
in toto calculo. Ut autem appareat quonodo haec sabula ope carcali
obtineri possit initiem dato. Sulchra autem inter proghediendum
operandi compendia nascuntur: pro X adhiberi sufficit literas 2 pro
Xliteras 3 et ita porro. Luod enim sic invenitur sufficit pro
literis quotcunque:
X = a + 2 ab + bb = aa + 2y
Ergo fit a = X - 2y
X = a + 3ab+ 3ab + b + 3aC + 3bC + 6abc + 3aC + 3be+C
2
e seu X = a + 3ab + 67.
Ergo debet inveniri ab
a b = ab
in a + ac in a. + bc in b. Nam ab in a est a b +ab et ita
habc = ab inc + ac in b + bc in a
abr ab inx + ac in X + bc in X = ab in X =Xy
Ergo
a b + 37 = Xy seu ab = Xy -32
ac
decaeteris
Luo valre iptius a b substituto in aeq. X = a +3 a b + 67
A
siet X = a + 3Xy - 9Z + 6Z hoc est denun a = X -2Xy + 3Z
ut in sabula.