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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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aP.
XX
L C L B R A.
li IL L. LLLL=V.
Aliarum Aiquationum similis Derivatio: e Formatio
Cianonicarum ex Orisinalibus.
TH Aquationes Composita jam memoratae, derirantur, vel a Laceralibus
Vel laltem a multus Compoticis: Pariter quae magis actue compotiex LunE
eodem modo à limplicioribus poterunt derirari.
acque in hunc tinem; extibet FCarriotus (P. 49. Scc.) Cacalosum plurium A-
quationum, in rarus Tormis, eo spectantium
Fumque, in hac methodo (Componendi Aquationes, altiores ex minus compo.
SItIS,) lequitur, ut in reliquis, Cartesius.
FXtis Originalibus, Format LCarriotus (quas vocat) Canonicas; transponendo
quancicarem limplicirei cognitam, in alceram A.quarionis parcem. Puca ab hac Ori.
dinali,
aa = ba
F6a - bc =0.
FIanCFOrMAE CanONICaMI aa = B a = b6.
F Ca
Et paciter in exteris. Ouas suidem, ille particulatim exponit: Ted, cum res obris
Radices cujusque Aiquationis (aut Reales aut Imaginarias) EOL FEPULAL, guoF
dimentiones habet Radieis gradus lipremus. Quor autem ex illis sine Iffirmativae
e quaenam illae sint in quoque catu (quia norio haec tum nora crat, libique pecu-
liaris;) demonstrar ille singulacim, Sectione Tua quarta, (locis illis quos ego ad
Capita praecedentia nocari.) Sed ego (ne nimius hic Lim) non repeto: Plura di-
eturus, Tuo loco, cum ad cam Sect. 4. PerVeNETO.
TII, Lectorem eis recenlendis morandum non censui.
2 P.
De Compositis Aequationibus dissolvendis.
P Mulciplicarione, LI CA LEANOTAVIS, LEIaLIONES L OmpOSIIE: SiC.
Divitione, in simpliciores illas distolruntur. Fx ProuL, cali Mulcipli-
catione, eleratur AEquatio ad superiorem gradum: sic, Dirisione, ad
Inferiorem deprimitur. Cxemptis, ex Composita, una rel pluribus Componencium.
Nocum utique Dirisiou Lesolri quod Mulciplicatione Componitur. Datogne Pr9.
ducto Musciplicationis, cu que ex Factoribus, habebicur Diridendo Religuilo.
Sic, verbi gracia: Cubrearum Aquationum primus Calues
aaa - baa + BCa - BC d = 0,
caa = bda
daa =c d a
Cum Cic exhis Lateralibus commotita
 m .
quxe duas reliquas continet radices,)
Si Del s upilelum aliguaus Lilam aridatut, Pomo auaea
a a  ba
c4 = b6= 0.
Ouippe