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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 797, page id 851708439:0821
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1VI
F P IS F OE TC U H.
n = 2, E petatur ue n a unitare deticiac a quadrato, eric n a = 2. in 9: 2, 12, 70
Scc. Si Pecerecur un na numero novenario a quadraco deficiat, eet n a =2 in
99: 27 F2, 70, ec. Duae quidem series intinicos semper quadratos exhiberet rem
imperacam praeltantes, utur non semper omnes. Verum hoc monuisse (utticiat.
Acque hac pracipua lunt eorum qua de hoc negotio dicenda putari; quae man-
datis cuis oblequens in hane collesi summam. Id Cuperest, ut (iquid admiltum (IE
quo minus omnia ex voco cuo tuerine, benignus condones; solitoque tuo larore
prolequi ne dedigneris,
OXOni DCceM. 47.
2657.
Inseenissime Done,
Dnis. Va Observantissimum,
LL. I AL. L. l d
Olquam exarareram reliqua, vilum elt ec hanc cuam subjunsere mechodum
inveltisandi primum quadeatum, alia plane forma quam quae supra habeCME.
Vid. Fpist. 29.) Esto, verbi eracia, exposicus numerus non quacratus n = 13, e
quadtacus quaelirus at, adeoque 13 a + 2 numerus quadtats. Fric
23a = 2 = 9a + 6a b + v2
LIoc est 4 a + T = 6 a b + b
est ereo 2b
= b
Tisto a = b + c. Adeoque
4b2 + 801+ 4c + 1 = 6B +
lL0c est 2bc + 46 = 2 = 3b
E
+
d
2 + 1
2d = c = d
t
d+6de  362-
2de +
d = e
67+
2c + 20
20+7
= F = 4. 4
3c2 = 2
3+
2 + 1.
B +
3
c +
+6d +
442
et
40
E
hj = 3.j
F = 3B
 3j2 f + = 2. B + 2. B)
30
Atque eodem modo procedendum erit exposito quovis numero non quacrato.
etAMAM 3