# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0137
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0137?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 113, page id 851708439:0137
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=137
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000137.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 116 lines, status machine
# Lines: 116 recognised, mean confidence 0.79
# 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.

ee
1a
lete
12
devi
P
(1120
uu
sub.
1101
tie
icto
d
ue10
60
AC
C.aP. LLCLV.
radicis figura proxime lequente. GuaerO, ut
prius, quantus esse postic numerus K, ut 3 AgF
=974 7H _C, ZAF 9 = LZF F G, _EF C, (FIn-
Sula luis locis) in supro Polico Residuo ha-
beri postine. Invenioque (facto examine) su-
mi posse F. = 2, nOn aUTeM F= 3. Polito igi-
tur2 in Onorience; factisque mulciplicationi-
buS uE OpOrCIIE; habeo 3 AgF = 29494, 8
BA F 9 = 684, e 8 =F C; qua (Cingula Cuis
Locis) addica, conticiunt 2956248 Cinomonem
complentem cubum radicis 572. Eoque sub.
ducto, reltat 88353 eC. PrO Cnomone se
quente.
Pro invenienda itaque quarta figura E: Sum
DEo jam A =572, adcoque 3 A9 = 981552
e 3A = 1716: Ouaro (hujus dirisoris oDC)
quantus esse potelt F. Cumque, ne lemel qui-
dem (in Cupra teripto 88353 ecc.) haberi postie
98255 ec. Polito in quoriente o, (unde ni-
2
hil erie Subducendum,) Reliduum habeo (pro
proxima punctatione) 88353580329.
Sumpio itaque jam A = 57 20: Adeoqué
3 A9 = 98T55200, e 3A = 77160. FIjUS
opc Diriloris, invenio (ultimo loco ponen-
dum) F = 9. Factilque Nulciplicationibus et
Ablationibus (suo loco Fingulis) nihil rectat.
Indeque liquer, exposici numeri, jultam radi
cem cubicam esse 57209.
Simili methodo utendum erie in exrrahen.
dis radicibus aliarum Potestatum: Punctarioni.
hus Dirisoribus, S Gnomonibus, sic ordinatis
ut cujusque Dorectatis consticurio poltulat.
In extrahenda autem hujusmodi radice qua-
piam; Postquam (ue hic) ad Onicacum locum
(in Ouociente) perrentum et; siquod achue
Ketiduum cst (quod certo Het SI mumerUS CX-
pOsieuS non sit sui seneris figuratus; hoc est
Ti numerus cujus radix quadratica extrahenda
Clt, non lic Ouadracus; aut non Cubicus ubi
50353560326) Chom.
0c0000 Ret.
quaeritur radix Cubica; et in reliquis similiter:) Continuanda erit operatio (sI
major accuracio requiratur) in locis parcium Decimalium; Subjunctis, quot ODuS
videbicus, ciptrarum punctationibus, et similiuer procedendo (uc in inteoris)
pro parcibus decimalibus radici jam inventae subjungendis.
Fildem principiis nicendum est in Extractionibus Mixris; Sire (ut loguuntur)
in Aquationum ARectarum radicibus inguirendis. Quod proxime dicendum est.
8 ilezi 1602 580 32s (57209
251
2 (2317
C
ac. Lcliduum.
A9
A
65.
13
60 T9
04416
Divilor
3AgF.
C
Cinomon.
AFC
Cel. Meniclie.
3AG
3AgF
Tuomon.
00 353(580) Retid.
08 1552.
8
a
17236. 1
3AC
3A
Divitor
3535801320) Retic.
08255200..) 3Aq
d
385390bO.. 3AgF
1577 60
3 AF. 9
976
Birisor.
SILL. 4
94d
981569F60.) Diris.
L C
A L G D B R A.
2
De Farractionibus Mintis, sive A.quationum Affe-
Clarum raclibios Ciicet edclbo.
R9, aNE 187 F49248 =RC; _ quaeratur radix R.
St Vero vorestas ea lic aliqualicer attecta: Puta, SI ExPONALIE nIexUS
qui sic non uni Ouacrato Cavor aequalis, Sed Ouadrati aut Cubi duplo, cripio
aue Tiruliter, (Oc654360 =2.l9, auc 562447744 = 3 RC;) ee quaratur va
tor radicis R. Duplici id mechodo tat.
F. Pocelraribus paris resolrendis jam dictum est: puta, Si pOnatuIF 327184
PriOL