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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 241, page id 851387705:0261
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DE DTC A T10.
Ad quam regulam exigenda sunc quationes Cubicx hujus IOKMIa L. C = 3A. L
=7: (vel etiam hujus ZC - 3 A: Z = - 7, qua ab illa hoc (01O aMHCL
quod quae illic altirmatire exponenda sint quancitates L A + F, =Z; hic inter
Precandta (inc negacire, - A = F. = - 2.) Duam, Reculam primam jam ap.
Dellabimus.
Eodem modo, cum sic A C - C = AC = FC = Y.
FPIE ACC = A. C = Y AC.
sre ACC = AC = A. c.
Tcem
R.C = E. C = AC - E. C = Y.
FC
_t A C - F CC= ~FC.
hoc est R CC f VFC == A. c.
Retolucis icaque aequacionibus
ACC = ∞AC = AA. C. = ECC + XFC.
Fxic V: = ~9 + P. C: +ZX: =
Adeoque Yc. V: 3~ 9 F A. C: + 3 3. 7
= Yc. V: 4 4 4 + A. C: - 3 .5
= A -- P = _
Acque ad tanc regulam exixendae sunc hujus Formae Zc f 3 A. X. = +. c7 x.
quariones omnes. Vel etiam hujus Xc F 3 s. X = - g: cum hoc (olo diseri.
mine, quod cum illic quancitas major A, sit actirmatira; minor F, negatira; de
Z = A = F quanritas astirmatira; hic, major A erit negacira, minor F attirma-
cira, adeoque d X = = A + P. quanciras negacira. Atque hanc jam appellabimus
Reculam Secundam.
Fxemplum poslterioris Regulae hoc esto Zc F 12Z =63. Hoc ct, inquam,
XC + 3 P. X = ∞. P 1BO 13 = 4 = _. _ =  =F. Et AC -G4 = AC -FC
= ∞ = 63. Adeoque ACC = 64 = 63 AC. vel ACC = 63 AC = 64. (EF S1.
milicer = = Ac. e = =FC= AC = F. c = X = 63. Adeoque 64 - F. CC
=63F. C. vel 64 =FCC = 63E C.) E1GO Y: 31e3 + 64: + 53 - ae23 + 63 -
(5. 163
564 = AC.
LF = F. C
EL proprerea V c64 = Y CT = 4 - + = 3 = X = A = F. Vel eriam, (si prin.
cipio policum eset =63) mucatis ubique sienis numeri 63, Proveniret = 4. f +
A +
Vel sic (immediare ad regulam exigendo) Aquatio est XC F 12X = + 67
ErgO 3) 12 (4 = A. adeoque 64 = A. C. RF B3 = = ∞. adeoque 3553 = =  9. e
PrOPtCrCA,
v: 1 X4 = A. C: 4 , g = v: 33 +. 64: +03 - 564 = Ac.
Adeoque = V c64 = V cr = = 4 + 1 = +3 =X
= E C.
Exemplum prioris hoc esto, Z. c= 122 =65. Hoc elt, inquam, 2C- 3 A. 7 = 2.
Ereo 3) 12 (4 = s.   = F. et AC. + G4 = AC + P. C = (7, =) 65. Et ACC
AC
+64 =65 Ac. vel 64. = 65 AC = A cc. (de similicer  + F. C = Ac + FC=
=Z =65. adeoque 64 = b5F. 6 = L.CC.) FreO e3 + V: 12ed - 64: = 13 + y eve
=57t 13
64 = Ac.
Ac.
LF C.