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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 273, page id 851708439:0297
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1
Cap. I. XIII. A L G F B R A.
=2.9: adeoque bb = 8. 41; 5 (= Bc -: B) = 3.276; 60 = 10.732; ab (= 18- 6c)
7. 260; FF b = 2. 85T; minus quam ponebatur.
POnamUS ergo B (= 2. 9) = 3. adeoque c (= BC -: B) = 3. 167; 60 = 70.
028; ab = 7. 972; b = 3. 127: plus quam poncbatur; adeoque b = 3. Mi
nuendus.
Ponamus itaque B (= 3. Sed = 2. 9) =2. 95; (adeoque ob =8, 702:) Fr∞O
(= bC -: b) = 3. 220; 60 = F0. 37C; a b = 7. 629: b = 2.992; plus posito.
Ersob =2. 95 minuendus. Scd, hoc manente, erit ac = 8. F98; adeoque (DFOPTCE
Bb =8. 702,) 3b + a6 = 26. 900 - 17. adeoque a manente, auxendus cHet b.
Sed e a manence minuendus etat. Frgo, a a = 63 non constabit; sed minuen-
dus est, quo augeatur Bc.
24. POnC a (=2.549,) =2. 5; adeoque a a = 6. 25, = 64; b0 = 9.75; Tum
est b =, e c =, (Vb6 =) 3. T225.
PonamuS B = 3, 12; adeoque 6 (= BC=: B,) = 3. 126; Bb = 9.73; C5 =9.78
Sed esset cC - bb = T.
Ponamus B = 3. F; Tum c (= 3. 245) =V FO. _ B = V9. ErgO B adhuc
nimius, ee c justo minor.
PonamuS b = 3 = V 9. TUM C = 3. 25; CC = 20,5625; ab (= 28 = cC)
27. 4375; b = 2.975. Ergo jam c nimius, et B justo minor.
PonamuS B = 3. 02: Tum 6 = 3. 228; CC == 10. 423; ab = 7.577; b = 3,O3F.
Firgo c debito minor.
Ponamus b = 3OF: Tum C =3, 2392; 60 = 104924; ab = 75076; b =3.
003. Frso B debito minor.
Ergo (BC SC ManEHLC) est B = 3. Or, debito minor; et c = 3. 228, debito mi-
NOT. Scd, his manentibus, BB = 9, 06OT; _ ac = 8.070; adeoque bb + ac
=47, 43 = 17. Erso b0 sic conttare non potelt, sed minuendus est, quo a a
angeatur.
25. PonC a (= 2.549, Sed = 2. 5,) = 2. 52; adeoque a a = 6. 3504; _ bc
=9. 6496, (minus quam prius:) ee quarendi lunc b, c.
POnamUS B = 2.95; Tum C = 3. 27L; _C6 =20,699; ab = 7. 301; b =2. 807:
Frso b ponebatur debito minor.
Ponamus B = 2. 08: Tum C = 3, 238F; 60 = 104853; ab = 7. 5247; b =2.
082. Erso B Donitur debito major.
Ponamus igitur B = 2. 975: Tum c = 3. 2435; 60 == 10.5203; ab = 7. 4797;
D = 2.968; ergo B ponitur jucto minor.
Scd Potito b =2. 975; et 0 = 3. 2387; (mrisque justo minoribus;) ee retento
b0 = 9.6496: erit bb = 8. 8506; e ac = 8. 1599: Adeoque bb + ac = 17.
OTOS = 17. Fr3OBC =9.6496; _ 44 = 6.3504.
26. POnC a = 2.525; adeoque a a = 6. 375625; b0 = 9. 624375.
PonamuS B == 2. 97; adeoque c == 3. 24053; 66 = 20.5020; ab = 7. 4990;
b = 2.9699.
Sed bb = 8. 8209; ac = 8. 1823; bB + ac = 27. 0032. FrCO a = 2.525.
37. POnC a = 2. 5255; adeoque aa = 6. 37875025; b0 = 9,62784975.
Donamus B == 2.96918: Tum C -= 3. 24057475; 60 = 10.507323; ab- 7. 498677;
B = 2. 969285; nimius.
DS b = 2. 969278: Tum c = 3. 24057604; 00 = +0,50T339; ab = 7.
49866T; b = 2. 9697788; aliquanto nimius.
Scd, hoc posiro; erit bb =- 8. 816028; ac = 8. +840777; bo- = ac == 47, 000095:
Freo aq aliquanto major, sed pauxillo major, quam 2. 5255. Nam
POLito a = 2. 5255 +
Frit ac = 6. 37815 +
b6 = 9. 62165 -
16,00000
b = 2. 969778-
bb = 8, 826018 L
ac =- 8. 184077. 7
L1. 600095 +
ab = 7. 408661-
18,000000
6 = 3. 240577-
60 = +0. 501339+
Saliem aa  6. 378131
b0 = 0. 62 162 Y
15. 99977+
C6 = 20. 3013331
1b = 7. 498659
17. 999998 +