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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. XI II. DE LRCCONUM dC.
expolicas aliquot minuras quanciraces (distinctionis sracia) Partieulas appellare:
Parcicularum aurem collectiones, Partos; ee collectiones parcium, Lnteera; inte
srorum aurem collectiones, Summas; ee lummarum denique, Summam totalem.
Sicuc enim eadem arre cum parcicularum in Parces, cum parcium in Inceora, de in
recrorum in Summas, dcc. collectio insticustur: ee collectiones omnes incermedia,
quanguam praecedencium relpectu, SInE AGOrCSatA; lequentium camCM, PrO Mem.
bris habeaneur: Lodem modo per omnia, iildem plane principiis cademque arce
procedendum et, cum in simplicium sire ablolucarum quancitatum racionibus con-
remplandis, cum in racionum racionibus, sive proportionibus, HaTUMQUE PEODOL
tionalicaribus, e sic deinceps: _ quidem sicue intermediae rationes sire compara
tiones, respectu quanciracum ablolucarum primo exposicarum, Relariones live RC.
spectirae quancicares merico habeancur; illae ipia Lamet C Trce CoParancla
linc, in sequencibus illis comparationibus, pro terminis quali simplicibus sire abio-
comparatione, nora relationis termini, ad instar aliorum tincium plane ab(oluo.
rum. Neque aliud, creclo, et, quod in cora illa cractatione Cacasic V. CI. Sed
de his hactenus.
Aique hactenus de Fractionum cum Nacura, cum A.quipollencia, dictum esto;
cum de illarum cum Rarionibus attinitate.
luris lune habendae; iplaeque setationes, elm cen comparaneur, san t Ca
A
De Additione e Subductione Fractionum; tum Coeno-
minum tum non Coenominum. Fractionum ad com-
munem Denominatorem Reauctio. Minimus commu-
nis Denominator. Maximus communis Divisor.
LXpolitis, in praecedente Capice, quae ad veram Fractionum naturam intelli-
Sendam necellaria ridebantur: Ad operationes Arichmeticas in numeris Fea
etis exercendas accedendum cAt. Ouxe quidem eadem ipta sunc qua in numeris
veris, hoc elt, Inceoris, luperius exponuncur. Pura Addicio, Subductio, Mulci-
Plicacio, Diritio, dec
Ab Additione e Subductione, ordiemur.
Additio
Si Fractiones inricem Addendae, auc Subducendae, sine Cosnomines, (hioc eA et Sub-
cundem habeane Denominatorem,) nulla disticultare res ablolvicur; Substitur ductio
nempe, pro Numeratoribus expositis, Numeratorum illorum Summa vel Diffe- Fractio-
rentia, retento communi qui prius erat Denominatore, habetur Summa vel Disfe-num coe-
rentia fractionum expositarum.
Sic li Addendae sinc Fractiones E e 3, prodibic summa 8. Ouippe numeri num
Se 3 simul addiri constituune 5, guxecunque res illae FInE qua HUICTANEUT: Puca
Tire inteerx, sive partes. Et qua ratione 2 e 3 homines, lune s homines; aut 2
ec 3 equi 5 equi; rel 2 e 3 inteora, 5 inceora, etc. Fadem plane ratione 2 et 3
Dartes, Tuti 5 Partes; 2 8 3, semiltes, 5 Semiltes: 2 et 3 sextantes, 5 sexrances;
hoc est 3+
Ira, s ex 3, auterantur 3, manebunc 3. Ouippe univertalicer rerum eMt,
=2; SIVC reS MIeTaTA incesra LinI, Cire Partes. Sieut enim 5 = 3 B0.
mines, tunc 2 homines; e 5 = 3 decades, 2 decades; et 5 = 3 centuriae, 2 cen
turia: ita 5 - 3 TExTaNtCS, TunE 2 TextaNCES; hoc cA 3
Et similiter Faciendum est ubi plures adtue Fractiones cognomines, continue
addenda lunc, auc subducenda. Puta 3 F
quia 2 7 3 + 4 = 9. Sic
Atque eodem pralse modo in tractionum Additione ee Subductione Speciola, Cire
1tBtC.
8- C
quia 27 3-- 4 = 1. Et Timiliter alibi
C
Symbolica
ec.