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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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uspo
exit
veriatus
enian
lata
eat   do
A I. G F B R A.
Dum autem hos Fxponentes actiono, ut2, F, 0; Peu 4, 2, 0; Cet similiter,
ubi intinus ese o: non hinc excludo alios in progrestione arichmetica; puta 4, 3, 2
au, 5, 3, T, similetre: Sed hos recentere, non crat necesse; quoniam hujusmodi
aequationes sunt (per ante tractita pracepta) ad tales reducenda. Puta A90
B A C == Z 9A 9 (ubi exponences Tunt 4, 3, 29) ad hanc A9 + B A = Z9(∞
jus exponentes Tunc 2, F, 0,) dirilis omnibus per A9. Tum AgC F B9Ac =
L ggA (ubi exponentes sunc 5, 3, F,) ad hane A99 = B9Ag =Z 44 (cujus
expOnenteS TUNE 4, 2, 0,) dirilis omnibus per A. Fex in aliis similiter.
Alias aurem affectas aequationes (in quibus species aut plures fune, aut non a,
qualiter in scala ascendentes,) non hic considerat; sed ad alium Fractatum relere
Clavi Subjunctum) de squationum Affectarum Resolutione in numeris.
Ouadracicas has aequaciones (in quibus tres species aequaliter alcendunt) redu-
cir omnes ad has tres Formas; pro signorum. F = variatione.
A. = L A = A 9, TCU A = Z F = FO
2. Rg- BR = A. HOC elt Z A9- X A = A.
F. Ld. = BR = RG. 
In quibus exponentes incognitae magnicudinis (R, Peu, A, F,) FUnE2, F, 0.
Neque ab his alirer difterunt quae exponentes habent 4, 2, 0; 6, 3, 0; _cc. quam
quod radicem habeant planam, Tolidam, eec. hoc cA, duarum, trium, pluriumre
dimentionum: uc mox docebitur.
In his omnibus: magnicudinem absolute cognitam, Ai, ostendit esse, duarum
Cincognitarum) Rectaneulum, quarum majorem vocat A, minorem f. FF B
coetticientem termini medii) elle, in prima Forma, carundem Summam (pura
== A  F;) in sccunda e certia Disserentiam, (X = A - F. ) FC R radicem
attirmaciram incellise) in prima, de ucraris (inditferenter) exponi A, vel B,
(quas itaque aequationes ambieuas rocat;) In secunda, de A: In tercia, de F.
Hoc demonltrarille, in Ediione prima (cap. 29.) ex pCOP. 5 e 6 secundi PIC.
mentorum.
In cditionibus sequentibus (cap. 16.) idem sic demonstrat (unirersaliter) ex
propriis Algebra principiis, (non adrocaris in auxilium Creomerricis illis; qua de
Lineis Speciarim agunt.) Aequationum, in quibus sunc eres species aequalirer In
ordine scala ascendenres, consticurio liquet. Nam, quia
T. Z = A = P.: duCatuE Utraque ParS in A.
L = P. = A: ducatur utraque pars in F.
A = X =-P: ducatur utraque pars in A.
3. E F X = A: dueatus utraque parS I F.
Et similiter Tat in B et 2, _c.
Atque, ex hac mulciplicatione, hujusmodi orientur aequationes.
3. Rg ] BR = A. 3
7. A = A9 = A.
BAG - A99 = AP. 9.
LDC = ACC- LC.
ec.
ZF = Eq = A.
  a ddde
BEg- F9q = A9.
TFC LCC = LC.
A 9 = Z A = A.
AGG = 1AG-= LI. G
A CC _  - A. C.
3. E. 4 Y A L. = sC
F99 F XCg= A9
FCC + xfe = A.
c
la alcendentibus: Cogltabis magnicudinem abloluram datam, esse rectansulum lub
duabus magnicudmibus quaesitis, sire latera line, sire guadrata, sire cubi, ec. qua-
lis sellicet elt Poleltas mediae speciei. In medlia aurem specie, si alcistima species
Tic nesata, coefficientem esse summam maenicudinum qualicarum; e speciem iptam
de viraque exponi Ac, si altistima species lic attirmaca, coefticienrem elte magni-
cudimunt
Ouociescunque igitur proponitur aequatio ex tribus speciebus aqualiter in sca