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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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∞1
Candl
10
uomu
viden
Cap. XL II.
A L G F B R A.
Cum vero hac mulciplicatione destruitur aequalitas; candem
relticuic, concraria mulciplicatione per eoldem numerOS, in-
verso ordine.
Ouippe jam LXZX4 = 2 42 = 4 XL XT. Adeoque partes sineula in racione qua
PrimItus.
Tum, sumpta nora radice, e = 2a; adeoque +] 3
4) Hloc est
ee =4aa; nora prodii aequatio; in qua radix e 1 + b = c0. ec + 2. b0 = 4 cc.
est dupla radicis a.
Similicer pro criplicanda radice Aquationis Cubier.
aua +baa + 50a = d ad. HOc cst. B  d
Adeoque 1) +2 + 58 = d d d.
a a a a a
a
FL F)
2 = 3 + cc) = ddd.
auaos ac
POFLOquE e = Za CC == OAA, CCC =27 a a a
2 L 3 +00) = aud. HoC est, eec + 3bec + oCCC = 27 dad.
ee el eel et
Idem Faciendum erit in alia quaris AEquatione, per quemeunque numerum
Mulciplicanda tuerir radix; puca per Y, Tumpris cOE numeris quot opus exit in
COnEINUa propOrtiORE L ad Y.
Puta, aaaa + baaa = ccaa = add a = ffFF.
Hoc est, 2) + 3; + c0; + ada - 555s.
aaa a aaa aa
Fr8O
FI r) prI
ge qeg qua
+ + 3+60 + ad a -5555.
aaaa aa a aa
EE
2) r) rri
reri
2 + B +c6, = a d d = f5sf.
aa a a aaa a a
rererer er
Adeoque (POLIO e =ray Ce =rraa eeC =rrraLa ec.)
F
et ret rer rerr
2l+ d +C0, + adas - s(ss. Hoc C aece trbece + mecec + v a, o- ps.
ecceece ce
Obi e ad a est ut r ad 1.
Hoc eso cum explicite declarandum centui, ut procestiis ratio paleat. Ouae
aurem inde oritur Regula, hac elt.
Mulciplicetur quilibet respectire cerminus aequationis (incipiendo a Radicis
Gradu Supremo) per seriem continue proportionalium ab F orsam, in ratione
imperaca: Ex provenientis siquacionis radia, eam habebis rationem ad radicem
expolica aequationis.
Hoc aurem arciticium (quamris alias veile FC) excogicarie Tlarriorus, pro
amorendis aue praecavendis numeris Fractis Surditre; qui vel jam fune, vel
Fuboriruri Forent, nisi tali remedio CaVCTetT.
Eungue