# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0218
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0218?run=74
# 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)
# Folio 194, page id 851708439:0218
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=218
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000218.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

A L G F B R A.
act do 10
Idenque contingeret si poneretur rrr = = 8, cujus radix r =
2: LVIII
quod cum, imaginariae radices, Forene aftirmatirae. Ouippe l, per r L 2 = 
diridamus rrr. f 8 =0; prodibit rr = 2r t 4 == 0.
Cujus radices,
r = = F + V - 3. r = + F - Y - 3.
Sed, ne opus sic hujulimodi divitionem in singulis aequacionibus sigillatim
instituere: Idem sic Facilius habebitur.
Cum Radix prima (verbi gratia) AFirmatira (invenca ut prius) dicatur 2;
cui (propter tublatum sccundum terminum) aequales sunt an es simul; Led cum
contrario signo. Cunque sic, in Cubica, quancitas absoluta = z a e; cadem
per 2 dirila, tiet ae, absolura quancitas in Ouactratica; iplaque 2, Coetticiens
medii termini.
Sic in modo expolita aequatione rrr -63r = 262 ==0.
Cujus inventa radix 9 = 2, e 363 = +8 = a c.
Adeoque quactratica rr f Or + 18 =0.
Cajus radices
HToc cs; Polita aequarione Cubica
Cujus maxima radlix attirmarira,
rer
r = 2
Fric Aquacio quactrariea, rr + 2r. + = =0.
Cujus dux radices Negarivaen = 32 F V: 3 22--
10
P. L
atractio cullicis aliorum Bin 
EModus jam exstibita, pro inrenienda radice Binomii Cubi: aliis item
Binomiis limiliter accommodabitur, S rite adhibeatur secundum veram
L cujusque Poceltacis compositionem.
E. Duca; in radice Binomii Ouacrati
Cujus radicem Donamus
V: 29= 813.
a = Y e aue a = fV C.
Cujus Ouadracum est aa = c = 2 a Y c. aut aa + 550 = 2 a f Y0: = 19 + 8Y3.
Obi aa + ff0 = 19: _ 2 af Y c = 813.
Potito ilague
Erit
Adeoque
Ve = Y 3. Sumptoque f = Y.
2 af = 2a = 8. a = 4
aa + ffe = aa + e = 16 +3 = 29, ut oporcuie.
Ideoque Radix,
2. Trem; in
Polito
4 =F V3.
V: 22 + 12 V2.
Ve = V2. Sumproque f = c.
Frit 2a5V = 2. aY c =12Y2. 2a = 12. a = 6.
Adeoque
aa + fse = aa + e = 36 + 2. = 38.
Ouod nimium est. Foret enim 22.
Sumpto ilaque f = 2, (ut gux est aliquoca pars ipsius L2.)
Adeoque
2af = 4. a = 12. a =
Tdeogue aa + fse = 9 = 8 = 17. AC este debuit, 22.
Sumpto