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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)
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D E D IC A X IO
quis dubitet: quippe ponitur Basis urrisque simul cruribus major. Tentata la-
men analylis non secus procedit quam li caliis ellet maxime pollibilis.
AF alceram concessionis parrem quod actinet; Nempe quod Analylis aliquando
ad quid impossibile nos deducere rideatur, cum incerim casus expolicus minime
Tic impollibilis: Duo hoc rectius oltendam, opus erit de Aignationibus Cubicis re-
Tolrendis pauca peamictere; qua tum huie negocio, cum eriam inquilitioni no-
Etra primariae subserriant.
Aquationes omnes cubicas rel tales esse vel ad tales salrem reduei poste, qua
non nili sub Radice (ue Loguuntur) lint aftectae, nocum est. (Ouipre li Tub
quadrato lic affecta aequacio, sradum supremo prorimum tolli polle docuit Cai-
celius, acque ane illum Vieta, Hlarriotus, aliigue.) Poltune autem illa omnes
vel ad hanc FOrma A C - BG A == F DC, vel ad hanc reduci A C H B9 A = F DC.
Frujusmodi vero ceo Aquationes Cubicas, adeogue solutu difficiliores, me-
mini me olim conacum (exercirii graria, postquam Analycices rudimenta imbibe.
rum) ad quadraticas reducere. Idque hac methodo.
POTitis, Z = A f E. A = A F. 7 = AC f EC.
Fric, Zc = AC F F C. F 3A AF F 3AP. F. = Z, + 3A. 2.
Adeoque, ZC = 3 A. 2 = 7.
Tcem poticis X = A = F. ∞ = AC - F. c.
ErI XC = A C - F. C - 3AAF, + 3 AP. L. = ∞ - 3A
Adeoque ZC. f 3 A. X = Y.
In Aquationibus itaque cubicis ad hanc Formam consticnris, Z C = 3 A. Z = 7
animadrerrebam, squationis radicem , esse summam duarum quantitatum A, L,
quarum rectaneulum A. (tertia pars coefficientis intermedi termini;) e, cubo-
rum aecrecatum g, terminus abselutus.
Trem, in Aquationibus Cubicis ad hanc Formam consticutis, Zc f3 A. Z = y:
est aequationis radix X, duarum quancicatum differentia, quarum rectaneulum est
A. (tertia pars coefficientis:) e cuborum differentia, Z terminus absolutus.
Adeoque redacta est illarum Aquarionum difticultas, ad hoc problema; Daris
duarum quantitarum, tum Rectansulo, cum Caborum summea vel differentiam ipsa-
rum quantitatum vel summam vel differentiam aul ipsas etiam quantitates in-
vestieare. Ouod lic etticitur,
E
A. C
ErgO AC
let AcC+ A C = 7 AC.
Sire ZAC ACC == MM. c.
Similiter
Adcoque
A
A. C
= A C.
FC
F C t. CL. = AC F e. C.
Et ZF C= F eC = A. C.
le
Retoluris icaque aequationibus (quadracicis quidem, sed ex radice Colida ortis,)
ZAC - RCC = Ac = Z L C -LC0.
tcei
Eric 27 = Y. +24- A
l
adcogue AC. 2F F Y. 1Z4 AC. 
Yc. 32 = Y: 24- A.