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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)
# Folio 358, page id 851708439:0382
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A L C F B R A. C aD. L XXXV.
mD m 1 m 2 m - 3 m 4 m E  ec
Flac continua Mulciplicatio; pro Latere, Ouadrato, Cubo, exeterisque poresta
tibus ordine sequentibus; se cito decerminabir; in cerco terminorum numero, cui
que Pocestati conveniente. Fxempli gracia:
n
Pro Ouadrato; terminus primus est Z; secundus, m --2, seu EX = 2
cercius, 2   = = 1: quo rerminatus series. (Nam, S procederene, Foret
m
=0; unde et sequentes omnes = 0.) Numeri itaque TunE F, 2, F.
Pro Cubo; cerminus primus est L; Secundus m = 3, Teu FX   =3; FCr
M.
tius, 3=  = = 3; quartus 3 X . - - = = Z: OUO TerMINatUE SCTIES; (PrOPTET
m
L n  - 3 = 0. ) Numerique habentur 1, 3, 3, 2.
Similicer, pro Biguadrato, (ubi m = 4) reperientur numeri F, 4, 6, 4 
Pariterque pro poceltaribus sequenribus exponencem habencibus numerum in
cegrum.
Sed ubi Exponens est numerus Fractus; procestus non cerminabicur, sed pro.
cedet in intinitum.
Sie in calu praetenci, pro Radice Duacrariea Laceralis; cujus exponens ett
= m. Procestus hic erit;
M- D m E m 2 m 3 m  x dec
Hoc Cstu Z1 2=  , 3 =  2 2  2 3 n 2 +  dc.
HOC ee LX  x = 3 _ = 34 = 8 x = 1 X c.
Onde oriuntur hi numeris
Vel
2. = 8. = a8. = 3en. + 3oio. c.
+. 2. - 8. + 26. - 228. + 7. _c.
Similiter, pro incermedia incer Laleralem et Ouacraticam, m = 3. Adeoque
2 = 4  de
HOc cstu 2X 3 X 4 X = 8 X = 3 x = X X 8C.
Onde oriuntur numeri,
E. 
ab . + 3. = . c.
Seu 2. 3. 8. = 16. + 38. = 236. c.
Et paricer pro aliis Pocestatibus incermediis.
Elujus racio manifesta est. Nam, FI m SIEOg F, 2, 3, 4 aut alius numerus in-
ceger; post quem secuturus est -0,
2
=37 = 43 ecc. maniteltum
Cst, citius aut serius, Fucurum este m - n =0, quo terminabitur procestits.
Sin m Sic, 2, 2, 3, auc alius numerus tractus; hie, cum = 0, = 2, = 2, 8c.
muneitati