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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 450, page id 851387705:0470
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ARPTAMETTCA PFOPCLXXXII
9. Adeoque series Finita Ouarcanorum ad seriem coridem maximo Aqualium
est ut 3 + 707 F 3072 307 2d c. Ouod erat inguirendum.
Et pari modo, his cogniris, racio quam habet ad seriem Aiqualium series Ouin-
tanorum, inrenietur ope characteris in proxima prasentis cabella lerie: Pr deinde,
quam, habet leries Sextanorum, ope characteris serier proxime subseguentis in
Hac tabella; ee sc deinceps quousque libet.
20. Nimirum; cum charaeter numeri. Frianguli. pyramida lis (IC ..
13 + 2012 + 3513 + 5012 + 24
120
25 + 1513. + 8519 + 22512 + 2741 + 220t
Prianguli- poramidalium
omnium continue addicorum
axgregatum ( uc oltentum
03 f 0a f 03. 40
a5- F 204 + 3543 +50a2 = 24 a
ClE,) est correspondens nu. 120)63 = 20b1 + 356. f 50V + 2+ b
metus Pyramidi- pyramida- (- 17
Lis. Cls i (et ai M
Sc. = =241 = 121 + 121.
T2. EF Omnes 50a= ecc. TUnE
1 F X
1. 5012 +. = = 501 =313 + 30)
etc, ac
720 = 120X6
3= 4079 156 sto . scB  1. + 2312 + 25)
43. Tiem omnes 35 a3 dc. FumE
+2
4+ 13513 = 27 11 + 23 B3
4 351 +
=33B 4 3312.
24. Trem omnes 10 a 1 dc. (per jam modo demonstraca.) Sunt
0
101
213 =210
1e + 31a  3
F 3 13 u 3
307
30
ReGreBatuM.
25. Ouxe omnia simnl adelira, (5TF, 22, 13, 54 comprehen a,) sunt 2B. F
133 P + 37, P + 45. P + 201, - 81 + 55 11 + 1507 + 1831 + 801
26. FIxC itaque si ex AGgregatI 120 plo auFerantF. FIOC est
Si ex 6) 15 +2513 f8512 + 2251 + 274. 12 + 2201
auterantur 4)
815 f.5574. = 15013. = 18312.f 801
HOC cst,  Cx 12) 215 f3015 F 27011 f 45013. + 5481 + 2402
auterantur 12)
2413 + 16512 + 45013+54312 +240
Reltabune. 12) 215+ 673 f 572
Oua ilaque est summa omnium a5 _c.
Nimirum 270+ 273
12)
+ 41. + a,
=- 1212
pise
1e
HOc etlb+