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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. L. V.
Sin = b, = a; erit
F~ _ N N = + B ~ N = q 3 - r = 0
Fabemus itaque utroque casu, (hoc est, sive sE = r, Sire = r,) duarum
aq (sectulis Signis,) summam, ditterentiam, ee rectansulum: modo cognics
Sc iplius y valor. Nempe, in priori catu, p F y y est duarum lumma, d
2 disserentia: In Polteriori, p F y y disterentia, et 2 summa: et in utroque r
rectansulum.
8. Cum iiaque sic uccunque, duarum B. f yy ee Z, altera summa, altera dit.
Ferentia, duarum b d; harum semi summa cum semi difterentia, est duarum b d
major; et semi summa dempra semi disterentia, duarum minor. Hoc est duarum,
8p + 1Y + 2.)  c+ rrr. . SpY + q
8p + Yγ
27
25 Hoc M 2 4+ 9p7.. 80y -q
altera est B, altera a, _ proprerea carundem rectangulum + B d = L r.
Hoc est Frrrrrr.. S2Pyrry + PPYY = 99=8r.
Hoc est = y.. 82p p  ppyy = 49 =0.
84rY Y
Obi go semper habet signum = (quia sic ex L in +:) pp signum  (quia
ex tignis similibus:) p retinet quod habuerat signum: led r (proprer cranspo-
sicionem) signum Tuum mutat.
O. Si isitur, resolvendo hanc aequationem Cubicam ex radice plana py; ha-
beamus valorem ipsius y: Habentur inde dux quadratiex, (nimirum, propter
82 P + :Y +, =b, d.) Puta
eteii ajo sispitie etes 
= DEO X N = y N. . B
= a x f y ~ + 2yy.. 83p.. Pro v x + y ~.. d
OBi p rerinet in utraque quadratiea suum quod in biquadratiea signum habue.
TaL: Sed q in priori retinee, in posteriori mucat.
20. Tlarum quadraticarum radices bis binae; sunt aequationis biquadratiea ra-
dices quaternae.
HIaec ego sutius et parricularim expolui (quae reticere maluit Cartesius) quo
hujus Resula origo percipiatur, methodulque pateat ejusmodi plures invellisandi.
Porest aurem idem sic brerius exhiberi.
Potiro 8 pro respectiris sienis iplarum B, d (sive Sine F sive =, Timilia aut
dissimilia,d et B pro concrariis, (et paricer alibi:) Compolicio sie instituetur.
A E C F B R A
F ib X -
0
b X a
X = bd
X X + YX
N N X X -
et ib ib cso