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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)
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20
A L G F B R A.
Cap. XXVI.
Suppe cum lit +79- A g = = ∞9: erit (Tumpris radicibus) V4: a6 - A9:
(V + 19 =) 5 ∞. FC Z Z F Z ∞ = A G e ZB = 3 ∞ = l. 9. HIOC cAt, dua
rum magnicudinum Aq, P. g; lemisumma cum semidifferentia, ele carum major;
semisumma dempca semidisterentia, est carum minor. Ideoque cum data Cine
(in Binomio proposito) tum Z, cum A; adeoque (hOrum ODC) ∞ = A9 F. 9
dabuntur icidem =Z = = ∞; hoc cst AG, F g; quorum radices quadrariea funt
A, P bina membra quaelicae radicis, A FP. Nempe
 + (X =) V: 29 +F9: 2 (X) V: 29 - 4 F9:
=vaqF VEq A FF.
Aique ad hane normam exigir ille (ex Binomia (ante MeMOTAT) Cum COTUI
Aporomis; Radices eorum exquirendo: Ad hanc fere Formam.
I. 27 = V 704y est B = 2 A.
ErgO, Z9 = 729. 4 A. 9 = 704.
B9 = 4 A. g = (729 - 704 =) 25. V: D - 4 A. 9: = 5 = 8.
+ 2 = 27 +5 = 32 = 2 A 9. Z - X = 27
22. = 2. F q
ArgO A9 = 16. F g = ET. A =4. E = V FT. A FF = 4 FV EF. RadIX quXTTA.
Dicicurque Binomium primum.
TI. V242 = 6, est Z F 2 A.
FrCO Z9 = 7. 4 A, 9 = 36.
29 = 4 A. 9 = (192 - 36 =) 3. V: Z9 - 4 A. 9: = 12 = 2 V3 = X.
B + ∞ = V 2 + 12 = 2Y3 = L Y3 = 4 V 3 = V48 = 2 Ag
B-- X = 1243 -
Ergo, AG = 2Y3 = V12. l. 9 = ZV3
3
V 27 = 2. P. 9
A = Y9912. F = Y992. A L F. = Y99 12 =Y992. Radix qualica.
Diciturque Bimediale prius.
TTI. 1245 + V 80, est Z F 2A.
ErgO, B9 = 243. 4. A, 9 = 80.
B9- 4 A g = (215.- 80 =) 3. V: 69 = 4 . 9: = 13 = X.
B + X = Y243
B.- Z = 12a
13 = 713 + Y3 = 813 = V326 = 2 A 9
(3 - 13 = 613 = 1.83 = V60 = 2 P. 4.
ErgO, A9 = 413 = 183. F 9 = 3V3 = 103 = V15.
A = V9933. F. = V 4425. AFF = Y 9933 = V9925. Radix quaesita.
Dicicurque Bimediale posterius.
IV. 7 F V 20, est Z = 2 A.
FxBO, Z.9 = 49. 4A. 9 = 20.
B9 - 4 . 9 = 49 = 20 = 29. V: Z9 - 4 A. 4: = V 29 = X.
 + 2 =
7- V20 = 2A9. B
KrgO, A9 = 1 F ZV 29 =3. F 2
.
20 = 7 = V 29 = 2 F. 9.
F. 9 = 2
V 29
122.
A = V: Z = V2: F = V: 3 V3: AFF = V: 2 + 123: + V. 3- 13.
V
HOC ett-
14 = 2Y29: = V: 24 = 2V29.
Diciturque Major.
V. V20 = 4 ct Z = 2 A.
Frso, B4 = 20. 4 . 9 = 26.
Radix qualira.
B9 - 4 A. 9 = 20- 16 = 4. V: Z9 - 4F 9: = Y 4 = 2. = 8
sit X = Y20+2 = 2Y5 +2 = 2A9. Z ∞ = Y20 =2 =215 - 2 = 2P4.
Frgo, Ag = V5 F I. B. 9 =
A = Y: 15. + 1. C. = Y: 15- 2. A+ F = Y: 15+C: LV. V5= 2. Radixe quaesica.
Diciturque Potens ratimale cum mediali.
VI. V20 + V8, est B =2 A.
Freo Z9 = 20. 4. AF. G = 8
B9- 4 A. g = 20 - 8= 12. V: Z9 - 4 A. 9: = V 22 = 2V3 = 5o
b +=Y20 = Y 12 = 215 + 2Y3 =2A4.