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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 25, page id 826603459:0471
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.83
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Ot Victerle
xeE ipus radiCIS impolBILICaCCI) Z L  V. +.G na Llq
nempe 22 iL V  245,) hoc ett, AC, LC, inpollibIIa.
FEC: = V: - 245. sic quid impostibile, erunc etiam (prop.
 27Y
4
4
72
22  (N  245 in) 7 V 5. Impotibile.
(Acq; idem continset quoriescunque cubus crientis coeftici-
eneis, major est quam quadrarum termini absoluti. Sicuc in
aequatione quadracica = A9 + BA = A, quocies contingit A
majus esse quam  B9. quod illic semper est indicium caliis im-
Dolsibilis.)
Ouid aurem Num icaque dicemus aequationem r3L
27r =  44, plane impossibilem esse? nullamque omnino
habere radicems Nullo modo. Habet siquidem omnino eres
radices, nemDe, L V15 =2, + ~ 15 = 2, F 4; hoc eAt, 2
quacionis r in 27r = + 443 radices TIINE, + N 15 +23
i V 15F 2,  4; _ XquationIS r = 27r = - 44, xa
dices TUNE =V 15 i 2, + V 15 in 27 +4.
Eodem modo, aeguationis r3 = 27r = L r0, radices lune
F= V33 = T, F =133 =2, +5
Icem, aeguarionis r = 27r = = 26, radices TunE,
L Z1105 L Z, = ZV105 L Z, F 2.
Sic, aequationisr~ = 27Y = = 46, radices (unC L 2 N b = 13
 2V6 i 2, = 2.
Icem, aequationis r = 7r = = 6, cadices Tunt F 1, F 2,
3
Acque in aliis pariter. Non itaque, ex eo quod Analy sis noS
ducac aliquando ad impossibile, concludendum prorinus eric,