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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
# Folio 186, page id 851708439:0210
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Ttem; - = A.
A L G F B R A.
A. C
A. C
 = AC. - - F FC= (AC F F C =) L.
F C
Ec
Adeoque; ductis omnibus in AC, aue E. C, _ transposiris terminis; fic,
ACC- Z AC= = A C = P CC- QP. C.
Cujusradices sunei
24 = Y: 224 - R. c: = AC, F. C.
Simili procestir ostendetur;
AC-
A. C
A. C
 = (AC =FC =) 4. -- =EC=(AC= F. C. =) X
AC
EC
Adeoque ACC = g AC = F A C = FCC F ~FC.
Cujusradices Y: 4X 4. f A c: + 3∞. = AC. P. C.
FTorunque RC, E C, radices Cubica, Tunt ipla A, F: harumque Summa ee DiE.
terencia, tunc ipla L = A + F, X = A = E, A quationum Cubicarum Radices
quaelitae. NemPC
rC. +32 + V: 244 = A. c. + VC.  2- V: 2 7q. - A. c. = A L F = 2.
VC. F ZX F V: 2 X 9 + A. C. = YC. - 3∞ + V: + q + A. C. = A - F = X.
(Si vero, in Aquacionibus Cubicis, habeantur = 7. - X; Radices eruNE
A - F = - Z, 8 - A + F = - Z.
Verum quidem ct, quod in Forma priori (Z c =3 A. Z = = 9,) nOn ParO
continsit, AC, EC, elle (quas rocant) Duantitates Lmasinarias, (nempe, quo-
eies A C major est quam = Z q; ) prout in aliis Ouadracieis Aquationibus, similis
Formae, tieri Tolet. (Oui catus idem est cum LTarrioti F xemplo ZIII. ance memo-
rato, quando c minor est quam b.) Dua de re nonnihil dictum elt; et plura Post
dicentur.
Monendum interim est (ne id nesciisse ridear;) ubi ego separatim, tum A, tum
E exquitiri; sutticeret salrem eorum unum extribuisse, (cum A. per ucrumris
dirilum exhiberet alrerum;) Puta
VC. 27. + V: 74- Ac.
rC. 22 = Y: 24 - R C.
YC. 22, Y. 24 = Ac +YC. 2Z. Y: 24 -. c. - = + F = a + F = 7
YC. Y: 3~ 4 + A. c: + 32
YC. Y: 4 4 = Aic: - 37.
A
VC. Y: X4 + _c: + ; X.
YC. V. 3 ∞9. + Rc: - 2X. -
Sed cum utraque A, F, sint eadem facilitace reperienda: Seligebam eam porius
Nocacionem, ut elegantiorem. Vel sic, Si malis,
YC. 22 + V: 42.  - R. C.  VC. 34 - Y: : 44 = A.C. = A + F. = 2.
YC. Y: + 4 4 + A. c: + 3 ∞. VC. Y: + 82 + ~c: = 24. = A = F = X.
Aut sic etiam,
vCZ. + Y: 24 - 4 A C: + vcZ. - v: 29 - 4. R. C; = a + F - 7
CV: X4 + 4.  c: + X - sc. V: X 4. + 4. R. C - 8 = A - F. = X.
C. . l
=
X.
. =  L. X.
86
FIaS