# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0517
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0517?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 493, page id 851708439:0517
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=517
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000517.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 125 lines, status machine
# Lines: 125 recognised, mean confidence 0.84
# 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.

Cap. II.
L AA L2D LLL +OEOF AF.
Roma orma
MMFOd
QFOM
 La
XMOa
Fm20
FaOM
Oaem
J aMO OaMI
I aOF
amOr.
Ex quibus, hrabentur Lacinx roces Seprem uriles; nimirum Roma, ramo, oram.
morau maro, armo, amor. Religuxe Forma sune inutiles; urpore nullas roces extri.
bences notae ligniticationis in illa Lingua.
9. Si vero una plurelre licerarum pluries OCCurraNE; nICrUS Anagrammatum,
seu Alternacionum, sic exhibitus; Diridendus erit per Numerum, Numerolve,
quos poltulant illae Repecitiones. Nimirum, si eadem Litera bis occurrat; divi-
dendus erir numerus ille per 2: EIter, Per O: SI quater, per 24: ec sic pOrro, Sc-
cundum variecates quarum capax est ille Expolitorum numerus. Nam, (I a b xC-
putentur proeodem: tum, ubi (caeteris manentibus) ab et b a reputandae cAene
BInX rarietares, nunc crunt unica; adeoque, Casuum numerus, dimidius exit ejus
qui secus eller. Similiter (caeterismanentibus) abc ubique Sex exhiberene ra-
rictates, prour ea locos inter se commutarent: Sin pro eodem habeantur, degene-
ranc Bxe Sex rarietates in Unicam; unde varietatum omnium numerus tc SeXE
plo minor. Pariterque li a bc d diverta sine; rarietates extribebune 24; qua, A
Pro eodem habeantur, degenerane in Unicam. Ec, E plures litera lie repetita
compareant, congrua pro lingulis achibenda erit Dirilio.
Eixempli gratia. Vox M F DS F S, Cex literis scribitur. Oux si eRene omnes in-
per Le diverla, AITErNaLIONCS FOTENE Z2O == FX2 X Z X 4 X5 X 6. Sed propter lireram e
bis occurrentem, diridendus erit ille numerus per 2. (Nam (I, LOCOCC, DONaNTUT
En, TUM M ESSnS CCmnS SES CrUNE dux FOFIX, qua jam COICIdUNE In UnaI
messes; ee sic ubique.) Tterumque, propter liceram s ter occurrentem, dividet.
dus POrro erit per 6. (Nam si eres illa ellent diversa, exhiberene, caereris manan
ribus, tex calus, qui jam coincidune omnes in 555.) Ft quoniam ucrumque hic
concinsic, dividendus exit 72O, LuI Per 2, TUm Per 6. Erunique rarierates di
2C
verlae 216 = 60.
mecsss emesss
M CSCSS
Me5 5e5
meSSSC
M SCCSS
Mseses
ISCSSC
MSSCCS
MSSeSe
CmSCSS
CMSSCS
CMSSSC
CCmSSS
CCSMSS
CCSSMS
CC5SSM
CSmess
MSSSCC CSMSES
CddSC1
SMeSCS
SMeSSC
SMSCCS
SMSeSC
SMSSCC
SCmeSs
dCC15d
SCC5HIS
SCC5Sm
Sesmes
SCSMSC
SeSCMS
SeSeSm
SCSSMC
SCSSCM
111ed
SSCM CS
SSCmSC
SSCCHIS
SScesm
555ICC
SSSCMC
SSMCSC SSSCCM
Ex quibus omnibus, praeter ixsum messes, nullum comparet utile Anagramma.
Similiter octenderur, Literas a BbCcc d d d d variationes admittere
EX2 XZXAXSX6X 7XBXOXYO = 3628800
2X6X24 = 288
= +2600. Ltabbcc d a rariattores
+r2u 3uqu 5 u6V, = 504 = 630. EL acabbecs, L22 3 uqu s 16 27, 18 = 40320 - 560. Si.
2X272 =8
militerque in aliis.
Cx246 = 72.
22. Conversa hujus, usui item exie: Cum id quod consideratum tuie ue unum
idemque pluries repeticum, poltea diltinguendum reneric. Ouippe cum, nume-
rus auce invencus, ita mulciplicandus erit ue numerus rerum lic diltinguendarum
Dostulat.
Sic vox messes modo considerata; ubi sss contiderantur ut eadem licera tet
posita, e ce ut eadem bis polita, numerus rarietatum inde prorenit 60: Si 555
24
1
dictin.
a
m0
Mera
a0LM
aOMF
xOaM Oram
Omra
1IOaF
Mard
et tit 
OM aF
CdMSSC
eSCMSS
CSCSIS
CoC5SM
CSSMCS
CSSMSC
CSSCMS
eSSCSI
C5oSuC
Sncess
SCMSeS
SSMSCC
SSCSMC
SCMSSC
SseSCM