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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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Cap. L1
Cumque =Z9 - AgE 9 = = ∞9 (quadratum lemi lummae, dempro rectan-
sulo, aequale quadrato lemi difterentia, duarum magnicudinum; guacunque illa
tuerine, sire Ouadrata sire magnicudines alixe:) Fr8O, V: 169 = A. 9: = 32
est semi difterentia Ouactratorum.
Oux ieaque Addira e Dempra semi summx; extribet ip(a Ouadrata,
A9 = 3Z + V: 129 - A. 9
F 9 = 52 - V: 324. A. 4.
Forumque radtices, A, F, sunc duo nomina Binomiae radieis.
2. Sic, in V: x9= 8V3: Si ab 35 = 27 9 (quactrato semissis Z9) autCraTE
18 = A 9 (quadratum lemistis ipsius 8+Z = 2 A,) ReSiduum est 361 - 192
16
a X 9. Aujusque radix quadratiea 13 = 3 X. Ouxe addira dempraque ipli
==B: Fxtibet 13 f 23 = T6 = A9, _ 13
=E 4. Radieumgue,
summa ee disterentia, sunc 4 = V3 = A F R = V: X9 = 8Y3
2. Trem in V: 22 = T2V 2. Si ab F2Z (quadrato Semistis 22,) auteratur 732
(quadratum semitis T2V2,) reliduum est 43; cujus radix quadratiea 7; addica
dempraque ipsi IX; extribet 18 = A9, 4 = F. 9. EreO V18 +2 = 3V2 +2
=A FF. = V: 22 =T2V 2.
3. Similiter, in V: 38 =+2V20. Si ab 362 (quadrato ipsius 19) auteratur
360 (quadrarum iplius 6 V 20.) Relidaum ct X; ejulque radix iridem I: qua
addita demptaque ipsi 20; exhibet 20 = A9, 18 = L 4. FrgO N 20 L Y 18
= 2 V 5F3V 2 = A F H. == V: 38 FT2V 10
Fademque regula locum haber, cciamliradix quae lica non sic simples Binomium;
sed duorum summa aut differentia.
4. Puta, V: 7 = Y 20: sen V: 9 = hVC. Si ex 12 (quadraco semistis ivtius
auteratur 5 (quadratum Lemiss 2V5,) Resduum et 28. Cujus radix ZV20, addita
demprague ipsi Z; exhibet  F 12 = A9, 3 122 = Fg. Adeoque Y Z = Y 25
+V
V23 =A +F = Y: 7 + Y20.
Si autem, in quoris horum catuum, sumatur minus nomen pro Z, de majus
nomen pro 2 A (contra quadrari naturam; urpote in quo partium, lumma qua-
dratorum, minus esse non porest duplo carundem Rectarisulo:) tacir hoc,
Quadracum Monstrosum seu impostibile; exuque Radix, ea quae dici solet Ra
dix Tmacinaria Negaciri quadrari
Du in catu primo: si ab 48 (quadrato semistis BV3) auteratur 36 (quadra
rum Temiltis 29) reliduum clt - +53: cujus radix quadrarica 13 V = F, addica
dempeaque ipti 4Y 3, extribet 4Y 3 = 2Y = 2 = A 4 _ 4Y 3 = 3Y = Z = Fg
Florumque radices, ip(a A, F.
Atque de Radice Binomii Ouadrati, hactenuis.
Radix Binomii Biquadrati; quamvis simul et semel reperiri polTie, L quod
Tir, mea methodo, post aliquoc centamina: commodius tamen id feri rideatur,
una vel altera methodo propolitarum, inquirendo Radicem quacraticam, acque
Radicis hujus (siqua lIE) radicem.
Similiterque de sex dimentionum Binomio; inguirendo radicem quacraticam,
acque hujus demum radicem cubicam: duc etiam, primo loco tadicem cubicam.
acque hujus demum quadraticam. Secundum ucramvis mechodum jam eractica
rum. Atque eodem modo de aliis ubi dimentionum numerus elt composicus.
Obi aurem dimentiones Tune, 5, 3 FF, auc alio quoris numero primo seu
incomposiro numerata; (qux supersolida diei solene primum, secundum, ter-
rium, _c.) Radix Binomia (Liqua lic) post aliquot rentamina certo deregetur
timili modo ac in Binomio Cubo. Ouippe V an auE V e, auc uiraque, inspectu
ctacim parebic, acque cum à ee f pro cujusque compolicionis ratione
Sic in Supersolido, seu quinei ordinis Binomio. Polica Radice dV a = fY c:
Supersolidum erie, dadd daav a = 5 d d dd f aaVe =0dd d5fac V a =
20ddfffaeVC +5aFFFeerat555Ff eeY
La l   a A.
Adteoque