# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0185
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0185?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 161, page id 851708439:0185
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=185
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000185.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 73 lines, status machine
# Lines: 73 recognised, mean confidence 0.69
# 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.

P
(010-
1b2t
6
LL L  L D L a.
Lid . Llc2.
c = ba 1Ca
Lum PIOPICE
oritur.
b +c + a
Fitubibieale ubutitles seddeate talcteu ilat
 BCaca = bCCa a
LBdaaa = bbc d a
Fcdaaa = bb dda
B +c F a = bc d d a
+ BCCda
Fb0d da
+c6d da
b + 6 F d
= BBCad
Lbccdd.
b +c. = a
Hoc est (reductis baa a caaa, d a a  bc dan ad communem denominatorem
b +6 =a)
aaa = Baaa = bC d a = = Bbcc d
C a aa
adud dobCa
FbbCd a
aa  a = BBa_ a = BBC a a = = bbcc d
Bd
b064
= bbcdd
=b0dd + bccd d.
F bbcc
FbbCa
FBCC.
 bbca
F bbd a
FbCd d
F BCCa
F bCad
FC6d d
6 6 a
bc
Acquecum cancem, deleris quae le mucuo desruune.
aa aa == bb a a a F bBCCa = = BbCC d
= bbca d
F bccd = bccd d.
L BBCd
BBda
bcda
ecad
 C = d
Similigue procettu uritur in aliis reductionibus, uc tert occatio. Verum ego il.
lis particularim sepecendis (ne nimius sim) abistinco: Lectori permiiens ut id
apud PCarriotum quaerat, aut Cua lagacitate exquirat.
XI. Fadem aequatio; polito bc d = bc f F b af. + ca5; adeoque
ad hare reducitur,
aaaa = BBCaLa = bbCC a4 = = bBCCdd.
= bbad
+66dd
+ bcdd
bcd
bc + batca
bbd
ebcd
= bCCd
+ bbcd
Bc + Ba. + cd
Racticed, F 6, + l  En c
( 5)vc +Bd FCa
Sect. 4. DF. 2.7.
21L. t