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# 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)
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A L G F B R A.
Cap.
S AB CC ABCC AC AB AG ACDC CC
CD BF CDBE DE CD DE ABDF BF
Reliqui procestus ratio (cum idem sic qui in rulgari Arichmetiea) non magna
indiget explicatione. Sie tamen breriter.
Si multiplicanda sic Fractio, aue dividenda, per numerum inceorum; maniteltum
est id teri sic mulciplicando aut diridendo numeratorem, (nam 4 quintae non mi-
nus est duplum 2 guintarum, quam 4 integra 2 integrorum; ee Cimiliter 2 quin.
ta lemictis 2 quintarum, non minus quam F interrum, 2 integrorum:) ubi autem
non porest ita diridi numerator; tantundem est si sic multiplicetur denominator;
(nam 2 decimae, pariter cA semistis 2 quintarum, ac est. F. quinca; nam mulcipli
catio denominatoris, cancundem ralet ac dirisio numeratoris.)
4
A
Si autem Fractio per Fractionem mulciplicanda sic aut dividenda; id Fc (ut prius)
per hujus numeratorem quali eNet inreser; acque cum per denominatorem institu-
enda eAt contraria opcrario: (Cuippe qui mulciplicarver Z; mulciplicat per 2
tactum que divicir pet 3, scu dupli crieniem tumil. Ouique per Z diridit; diridie
ver 2, resticuique semiltis criplum.)
A
2
10B
D
C ARC AC C A
D BRD BD D B BKC BC
A B AB A B A AD C A AB A
al
D BD D D B B9 B B BC C
S. DX (C
Hoc est: Fractio per Tractionem mulciplicatur, ducendo numeratorem illius in
numeratorem hujus, s denominatorem in denominatorem; seu multiplicando ter-
minos homoloeos. Fractio per tractionem diriditur; ducendo denominatorem illi-
us in numeratorem hujus, illiusque numeratorem in denominatorem hujus; le
multipticando terminos heteroloeos. Et C qua SiC Futura sIc magnicudo cum supra
cum intra lineam: porest ea vel utrinque port acleri, vel ante omitti, quo in
minimis cerminis habeatur oriunda tractio. Aique hoc elt, quod innuit ea regulam
de comparandis seu ad minimos reducendis) Terminis heteroloeis in multiplicationt
ut hemolosis in Divisione. Duippe sic praecaretur, ne seribantur, quae mox delenda
Tunt.
Radicum Earractio in Speciebus, similiter peragitur ur in Arictmetica vulgari.
Nimirum, Radix numeracoris, tic numeracor radieis; et Padix deneminatoris, tic
denominator radicis.
e
AC VCAC
BC
c
Vq
F.
Duo.