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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 243, page id 851387705:0263
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Adeoque Vc. n LY 5200: -
Adeoque A + F = 7 - ,
ol Et 
5929
actir
V0: 77 = (Y5200 = ) 20V
--
V F rSOaa2 = 134, raala 1 =
13F
FL aquatIOnIS Y3- 2Y == 154, raci 1
St aequationis r3 = 27r = = 296, invenietr radix = 8; Tunc enim AC, L. C,
= 240 = (V 21275 =)55 V 7 adeoque A, B, = 4 = V 7. d A F L = 8 = 1. A1.
realem unam; Se quidem unICaM. Nam quaS CX SDeCLES Aa TElIGUA CrHNE CANCUI
Emaginaria; unicum Calcem li excipius catum, nempe quando GUIaCTAEHI LCIMIIHS
cermini ablolure cogniti, aequaeur enbo trientis COCTHCIEMEIS CEMIIILHICAM, IIMC
enim cum L A cum = C, (quae exunc invicem aequales,) cum = A F H,, CrUNE Fa.
dices reales. Puta r 3 =27r = = 54, cujus raci  =6, f3, +3
Verum li exponatur aequatio resolvenda r = 27r = =4+, ejusd CI LIIS
forma, eaque ad candem regulam primam exigatur: res sacim crantibit ad impol
sibile. Cau Cnm, ex mechodo iltius regulae, cubus crienus cetes, auteren-
dus sic ex quactalo lemiltis cermini absoluri, acque relidur lacus quactracieum cum
addendum lutu anterendum lemissi cermini abloluc  adea   C e
T =V: 4C.4- A. C. Id tieri omnino nequit; qula 29(. C Cubus Erientis CO-
Elticiencis) Cx 484 (Z7 9 quadraco semistis termini abToluci) non porest auterri
(major ex minori,) vel lalcem (si urcunque auteratur) reliduum (484 = 729
245) Cnesacira quanticas, cujus icaque nulla polest ele racls Glacacia,
(quippe quadrarum omne, sire ex radice altirmatira, sive negatra, temper est
erunc eriam (propies iplius raclicis imposibilicatem) EL. = V: a Z.  = A. C, (mempe
32 =V =245,) hoc eltu AC, F. C, impossibilia.
) 44 (22
3) 27(0
que ad hranc formam aequationes alixe innumerae resolrendae, radicem exhibebunE
5 =) 7V
5.
Impossibile
(Aique idem continget quoriescunque cubus crientis coefticientis, major et
eium catus impossibilis.)
Duid autem: Num itaque dicentio asuationem r -
niS r = 27 r = = 44 cadices sune, + V 15 +
quam quadrarum cermini absoluri. Sieur in aequatione quadrarica = A g. L B A
Aiu quocies concinsit A. majus esse quam = B9, quod illic semper pucacur indi
=44, planc LII.
Postibilem elle d’nullamque omnino habere Ladicem: Nullo modo. Flabet liqui-
4i et aegua
dem omnino cres radices, nempe, L. V 15 =27 FV 25 =2, F4; hoc est, aequatio.
V 15 +
nionis ro = 27 r = - 4 races lune - 1 25 - 2, + Y15 = 2, + 4.
Ln 2
Eodem