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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 261, page id 851708439:0285
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cun
A L G F. B R A.
38. Et praestant quaesitum, ut ex calculo patet. Nempe,
aa = = 16. 030,145,44.
B6 = = 9. 030, 145744
aa = b0 = + 16.
2b = = 0. 000, 050, 4
ac = = 16. 999, 948,3  proxime.
bb f ac = = 76. 999, 999,7
c6 = = 18, 028, 425, 2.
ab = = 0, 028,  25, 2
cc = ab = 18.
70. Nam hic etiam, idem ralent,
au = bc = 26. bb = ac = 27. 5c + ab = 28. per B Negatirum et
aa - b6 = 26. bb + ac = 17. 66 = ab = 18. Per B AAirmatirum.
80. Ilis peractis, jam libet retrospicere ad ea quae aut fecimus aut consulco omi-
Simus, in ante traditis; ue justam eorum consequentiam consideremus.
Si primus ralor aa (54 F. inventus) ad quadraticam aequationem (5 FO, XZ,)
exigeretur (uc factum est in cribus reliquis, ) pro inveniendo b: idem prodiret va-
lor, qui prius, per aequationem Cubicam.
BF. Ntam, (1 aa = 6. 378, 320,897, 24.
Adeoque
Tum
a == 2. 525,5F3,986,7443
Ft a =40, 681, 701, 8+3,95
4M = = 28432
+8na = 1442 = = 5858, 165, 06+, 22
+2na + mma -- 3167a4 --- 20+99,825,581,56
Y: + 40∞. 339, 479, 66. = 63. 955, 761, 805, 6
 ma = 42. 933,737,774,6
b = 2. 969, 1 52,768, 6 - 2 1b = 106. 389, 139,670, 2
2n = 36.
Onde reliqua consequuntur, ut ad 5 47, 48, 43, 50.
82. Si vero sumatur radix Negatira; _, prO ma F V: _c, sumatur 2 nb =
ma - V: 8n a = 22 In a + m a f 4 IIn: res non succedet. Hoc est
Siu = 42, 933,737,7746
63. 955,762,695,6
36.) = 2F. 022, 024, 121, 0 = 36 b (= 0. 583, 345, 124,5 = h
Tum
26 - a4 = 6. 378, 220,897, 2 = bc
-0. 583, 345, T+4,5 = B.
Adeoque bb = 0. 340, 997, 896,7
ac = - 4 2. 623, 393, 278,7
=26. 477, 197,709, 9 = 6.
EE Cc = 275, 438, 044, 371
ab = -- T. 474,76L,553,
bb - ac = - 4 2. 272,404,3827 66 + ab = 270. 023, 282, 818,
Ouxe non Pacistaciune quae sito.
83. Similiter, in secundo valore ad = 0. 175, 493,523,; Si pro Atiematira
radice (859 invenca) siumatur Nexacira. Nimirum,
Si DrO M a = 7. 12.F, 630, 99
+ 133. 718, 536, 29
36.) 240. 840, 167, 18 (+ 3, 912, 226, 866, -b.
Scltalii m a = 7. 131, 630, 99
=133, 718,536, 19
36.) = 126, 596, 305, 20 (= 3. 526, 580, 700, = 8.
cum
ntel f.  L d L. L 0