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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 251, page id 851708439:0275
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pot
Tenu
naben
CusII.
3 UIa 1 = 16.
ErsO 1I = 256.
11I = 4096.
La L. C  B a 2
M = 17
mm = 289.
M = 49T3.
8
5832.
Imn = 4890
Mt H =. 320
n
mn = 206.
4 - 65536. IImn = 78336. m n = 93636.
Adeoque 51 =80. 911 = 2304. -71 = - 28672. +21:
=inn = 306. + 5Imn = = 24480. = 4rn-
= 1998. = m
1321.
24937.
FE Propterea, et -51e + 911 et = 71 e + 214 =
Fitus
Puca,
=mn + 5Imn - +umn
m + 2m n
e - 80c F 7998 et = 24937 e +5000 =0.
e = Be +Ce = De +F =0.
36. Aquationis hujus Biquadratiea sune omnino quatuor radices plane
ee = 34, 83
ec = 327 06.
Cc = 12, 756C Droxime.
ee = 0, 352)
Nam C, per numerolam exegetin, inveniamus radicem unam, puta eC = +2,7564
Et hujus ope (ne sit opus, pro singulis, Biquacraricam relolvere) aequatio ad
Cubicam deprimatur (tres reliquas radices continentem,) puca
e - 805. + 29985 - 14337 e + 5000 - 5 - 7 6, 24365. + 1140, 22 14 8 - 392. -0
et = F297564
Acque cum (per similem exeselin numerolam) hujus unam radicem invenis.
muS, puta c=0, 35T. Et hujus dein ope (ne Cubicam uerum relolrere AC
OpuS) ad Ouacraticam deprimatur; Duta
e = 67, 2436 0 + 1240, 2224 e - 392 = 0 - 66, 892 8 + 1716,733. =0
=0, 352
Habebit haec Ouadratiea duas Radices, ee = 34, 83, & ee = 32, 06 proxime
27. Ex quatuor his radicibus (ne lingulas incerti prolequamur) manifestum
est majores duas 347 83, e 32,06, inutiles tore praesenti negotio (dummodo
supponatur quaeltio ad numeros positivos restrinsi.) Nam, CI ée sic vel 34, 83
vel 22 06; erio (hujus semistis) a an vel 47, 4 X5, vel Faltem 16,030. Ouod
tieri non porest, cum (it (ex hypocheti) aa + b0 = 26; ad eoque a a = 16 - bc;
minor quam 16.
38. Omnium minima, ec = 0, 35F, utui esse porest. Nam pOtico aa =
(= ec =) 0, 1755: Reperientur B ee c, quaectioni Patis facientes, hoc modo. Si
a a == 0, 2755; adeoque b0 (= +6 = a a) = 25, 8245: duetis omnibus in a =
0, 4590, tiet ab0 == 6, 6305. Cunque lit (per 52,) M B = b = abc, hoc est
27b - B3 = 6, 6305: hujus Aquationis radix, exhibebie valorem B. Habet au
tem ea (praeter negaciram, b = = 4, 3058, quam sexonimus, propier suppolitos
4- b, C; nuMerOS BOlitIrOS;) duas radices atITatraS, B = 3, 9122, e b =
0,3936.
Ouarum una ului estè porest. Nam L B = 3, 9122; erie o = (
15, 8245
39222
40448; _ CC = 16, 3612; db ab = (18 - 60 -) 1, 6388; d = - 576388
= 3, 922 + = b = 3, 922. Quod Catis convenit.
34790
Altera
37972
34
4913.
1. 1d1L2
F 5003