# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0169
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0169?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 145, page id 851708439:0169
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=169
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000169.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.75
# 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.

aet
2
1
n 
Co1
con
Ven
Cap. XX
A L G F B R A.
a - B = 0.
1 - c = 0.
F a = = 0.
Radices; + b, + c, - d.
aa a = ba a = bca Vid. Sect. 4. Pr. 4.
caa bda
+daa = c d a. + Bc d = d00.
a = b = 0.
a = c =0. Radices; - b, = 0, + d.
a = d - 0.
a a a = ba a = BCa
FCaa = b da
Sect. 4. pr. 3.
=da a 6d a - bc d =000.
a F b ==0.
a Fc = 0. Radices; -b, - 6
a  a = 0.
aaa F Baa FBCa
F caa = b d a
+ a a a-= Ca a f bcd = 000.
s
EIS addit plures casus speciales. Prae caeteris quatuor sequentes A quariones quas
vocat ReciprocaS. Fas aurem sic vocat, in quibus quantitas Absolute cognita, ft
ex continuia mulciplicatione Coesticientium cognitarum: Ft incornux gradus su.
premus, simili mulciplicatione reliquorum graduum. Ot hic, bc d = bcX d, e
2aa = a aXa.
V. aa = = bc.
a
VI. aa = = Bc.
-
aa - b0 = 0. Radices. = VBC. = YBc. + d.
0
aua daa - bca + Bcd = 0.
aa = B0 =0. Radices. = V - Bc. - Y - Bc. f d.
a- a = - 0..
aa a dac + bic a - Bc d = 0. Sect. 4. Pr. 18.
VHI. aa = F Bc. aa -- Bc = 0. Radices. + V b6. = Ybc. = d.
Vel a
a + a =0
aa a = dua = Bc a = bc d =0.
a. = b = 0. Racices. - B. + 6. - c.
aa = = C6. aa - c6 =0.
aa u = baa CCa - bCC = 0. Sect. 4. pr. 19.
VIII. aa = - b0. aa F. B0 = 0. Radices. f V -- bc. - V - Bc. - d.
=
a = a =- 0.
aa a + dau + bc a = BC d = 0.
Velis a = = b. a = B = 0. Radices. + B. + c. = c. 
aa =  CC. aa -- CC =-0.
aaa = baa cca = b0c = 0. dect. 4. pr. 20.
Ouibus has tres addie aequationes; ex parcitione simplieis quaneitatis in Formam
Binomii oriundas.
IX. r = a = + g. rrr - 3rr a F 3raa = a aa = + 999. alie 119.
HocClt a - r + g =-0. aaa- 3raa + 3rra = rrr = 0.
+992
II. a = - b
NV. a = - b.