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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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A L G F B R A.
tamen aliam habet libi peculiarem methodum resolvendi Ouadraricas aequationes.
De qua plura post dicenda erume, ad Fxempla TF, 22, 13, sectionis lexLX.
Ea summarim hac est. A: quationi Ouacraticae (sic ab co ex po(iL_) au = 2ba = =c0:
utrique parti Addic quadratum semi coefficientis medii cermini, bb. Adeoque com-
plec quadratum in speciebus, quod erat (in ignota parre) impertectum; illudque
exhihet dato aequale; a a = 2b a F bb = =6c = b b.
Adeoque illius radix quadratica exir hujus radici aequalis. a =b = V: =66 + 6b.
Onde iptius a valor innoreseit.
Sic, in lingulis Formis.
T. aa- 2ba = + cc. aa 2ba + bb = + cc f- bb. a b = = V: + cc + 6b.
Adeoque a == F B = V: = cc = Bb.
2. aa + 2ba = = c0. aa + 2ba F bb = + c0 + Bb. a + B = = V: + cc + bb.
Adeoque a = - b = Y. c0 +60.
3. aa 2ba = = cc. aa 2ba + Bb = = cc + bb. a b = = V: = cc + bb.
Adeoque a = = b = V: - cc + 3b.
4. aa f 2ba = = cc. aa + 2ba = BB = = cc = bb. a + b = = V: = cc = BB.
Adeogue a = -b = V: - cc + bb.
Fandemque mechodum in suis plerumque sequicur Johannes Pelluss
Sed quicunque tuerit procestus; puta, vel hic, complendo quadratum; ret
quem ante expoluimus; vel terrius (quem post Cumus expolituri) eximendo
lecuncum terminum: eodem res redibic; ut poll expolicuri sumus, ad ejus
ProD. FI. Sect. 6.
D.
XXLLII.
Siquationum Cubicaul tbutio.
Xposita (uc dictum est) Aquationum Ouadracieatum Origine de Compo.
lsicione; idem in Cubicis similiter proleguitur Carrious. Laldem compo.
nendo, vel ex Fribus Paceralibus (sen simprieious Masnationibus, Cin
tormam Binomii reductis, aeque tum inter se Conc mulipliCatIS:) Vel, ex
Lacerali et Ouadrarica; Ouae quidem Cacratica ( Suvrea lic inserta) reti
nec (quantum ad illas quas in se continee Lalces) cacem Accidentia seu AHe.
ctioneo (possibilicaris, imposibilicacis, alallo altoo, aequaliauS, M.
qualicatis, ecc.) quae ante habebat.
Le seguitur; A quationes Cubicas omnes, Radices Habete (TCallo aut IIId-
ginarias) omnino Fres; nimirum vel alularas omnes, vel e aa
vel parum has parcim illas.
dudu quidem neleio au ante FTarriorum quispiam decexerit. Duem hiie eriam,
ut in alc lequieur (celato ejus homine) Cartesius.
Cubiend i qacromes ejuo lic derirat.
d
caa = b aa
Vide eju
cda - bc d = 00c
Sect. 4. Pr. 3