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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
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Cap. XLIMI. MULTTPELCATIOHE, EEC.
sive per 3 dividamus. Ft sic ubique; Sr licet quantitas (sic diridenda aut HIIIIeI
plicanda) vel inceorum quid, vel tractum.
X3.
=
3:
3) 4 (3 =
et
2) 9(15 =5 = 6 = 943. 2)2(3 =6 = 223.
Brericer; Mulciplicationis ee Divitionis (in Fractionibus) doctrina, hujusmodi
CA (ut ex praedictis liquet:)
Musciplicacio, Mulcipticac)
Numeratoris.
EDiritio, dividie
3
Denominatoris
Mulciplicatio, dividie
CDivisio, mulciplicat
 Ouia vero numerus quilibet per quemlibet mulciplicari porest commode, at
non ita per quemtibet diridi (uc nempe nullum ( reliduum:) ueraque iBItX
operatio, tum Mulciplicatio scilicer cum Dirilio Fractionis, per Colam Mulcipli-
cationem a plerisque intticui tolet; illic quidem Numeraloris, hic Benominacoris.
Adeoque
Mulciplicando
EFractionem.
CDenominatorem, dividune S
Si itaque ejusdem alicujus tractionis (vel etiam quantitatis inteorae) cum Mul-
ciplicatio cum Dirilio simul insticuenda sit, (quod quidem, ubi exposicus mulei
plicaror auc dirisor est tractio, contingit,) utrumque Faciendum clt. Nempe qui
inulciplicat per Z; ille revera mulciplicat per 2, e diridit per 3: qui aurem per 3
diridie; ille diridit per 2, et per 3 mulciplicat. EF proPterea, illic HUMCTATOK
(quanciratis exposixe) hic Denominator est per 2 mulciplicandus: atque etiam De.
nominacor illic, hic Numerator, mulciplicandus per 3. (Fodem plane modo,
acque in Additione e Subductione continsit: Puca qui addit 2 -3; ille revera
addit 2, et 3 demit: et qui Tubducit 2 = 3; ille revera 2. tollir, et addic 3.
Acque haec quidem ad tractionum cum Mulciplicarionem cum Diritionem rite in-
relligendam, dicta susticiane.
Si aurem id experat aliquis, non modo rerum ut hrabeat sire Productum Mul. producti
riplicarionis, lire Diritionis Ouoriencem; sed in minimis terminis: Porelt quidem  9u0-
illud obtineri, vel _roductum aur Ouocientem jam inventum reducendo; (eo riencis
nempe modo quem in praecedence capite indicarimus; puta cum numeratorem, extibitio
cum denominatorem maxima communi mentura diridendo:) vel criam, si id po- in mini-
eius expetatur, praeparatione tacta antecedanea: nempe hoc modo. Reducantur mister-
primo, expotuae tractiones ad cerminos luos minimos; Numeratores Scilicet singu. minis
los, luosque respectire Denominatores communi mentura maxima diridendo.
Deinde vero, in Mulciplicatione, Numeratores linguli, cum Denominatoribus al
cernis, sIC COmPaTentuE e reducantur; at in Diritione, cum Numeratores invi-
cem, cum etiam Denominatores invicem, sIC COMpATENEE dE LEdUICANEUIE: FL PrX.
pacacionc sic lacta, cum candem hiac ea quae praecipicur cerminorum Mulciplicacio;
NEMMBC
Elactionem.