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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 796, page id 851708439:0820
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L O M M E R C I U M
cundis lineares, E, 2, 3, 33c. ex comcinua monadieorum addicione ortos, 1 F L = 1
ecc. tertiis criansulares, 1, 3, 6, dc. ex concinua addicione lincarium L- F 2 + 3
eC. quarcis pyramidales, c, 4, 10, sec. ex concinua additione ceiangularium,
2 + 3 + 6dc. L.F sic demeeps.) Vel cciam, (I prO L, B = 2, B - 21, dC. Clacua-
muS L, 2, X, dec. Crit u = 1+ = L, X = + 1 = 1, y = 1 ~ = u, 2 = 1 y = X dec.
nempe constat quilibet ex praecedencium uleimo in s ducto, dempro penulcimo.
Vel denigue (nam de haec tortan delienacio placebic porius nonnullis) si numerus
expolicus sic verbi pracia 3; tier eadem series ad hanc tormam; (Vid. F. pist. 14. 1
3 in 9: 2X31X33 X 315 X 335X 3183, _C.
Sic expotico n = 2, tier Pexies
2 in 1: 2251 4 53~ 5B 5.  X 5 iti, c.
Ubi connitis raclicum prima de lecunda (un prius) reliquae ea ratione contlimuin.
tur, uc tractionum leguencium DmmeratOF aequec ubique denominatOrem TILIIM
dempio denOinatOrE prONImE prXCedeNCE; DENOMINAIOT AULEM RGUeE nUMEraIO.
rem cermini proxime praecedencis in impropriam tractionem reducti.
Hlac aurem ni lacis superque susliciant praelenei nerocio expediendo; criam hoc
licet adjicere. Inrenca hujusmodi serie qualiber, quae numero cuiris non quadra-
EO, DuTan = 2, conveniac; hrabentur ltacim series quae conreniane, ejuldem nu
meri per quemris quadracum mulciplo, puca n m, nempe dividendo seriem radieum
sam invencam per illius quadtraci radicem m: HoC pacto;
2, in Q: 2X5+X58X533X 538ZX 5, 183, eC.
B, in : 2X51 X 58X533 X 5 1 7 X 5, 163 C
28, in 1: 4 X331 X 3337 X 33 1135, C.
32, In 1: 3X331X3337X331155, ec.
50, in 9: 24.X F97+ X 297136, _c.
72, in 9: 2x 33+X 333 X3313), dec.
38, in 8: 1021191 X L9 , 13b. CC.
128, in G: 5FX
262, In G: 154OX
200, in 9: 7X 297 1X29713b, dc.
242, in 9: 1260X
288, in 9: 1 x 331  3334 4 3311 i, dc.
THoc est.
18,
1O:
in O
32,
nO
2
50, in 9.
10.
98, in 9.
128, in 9
162, in O
200, in O.
242, in
12,70, 408, 2378, 13860 8c
4020. c
6,35, 204, 1189, 6930. ec
136,
102,
3465. _c.
dc
31
286, .
+
18
D. c.
1980. ec.
13+. ec.
1366. ac.
7260. _c.
155. c.
TIB videre est, nunc lMSO hunc alternos, nunc certium quemque leriet nu-
merum, vel etiam quarcum, quincum, esc. diritionishujusce capacem cAe. PL Simi-
licer de aliis numeris pueteandum crit.
Sed nec incommodum erie monere, quod de supra innuimus, (quanquam d DIX
senei necocio alienum,) li i expolica qualtione, pioaceia ulateea
scito quovis numero quadrato, puta L: Teries quactraiorum quos jam inrelIs, du-
Cenda ellene in dacum illum quadracum e; (live, quod cancete atel quacla
corum radices ducenca estene in L) exempli BcacIa. Ouoniam, expolio numero