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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)
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24
AR IPHMETICA
P
Dictor
EV
lajue hic obiter incidimus in numerorum Figuratorum (ut dici (olent) Specu-
lationem insperatam. Sunt enim numeri omnes. (tam hujus quam sequentis Ta-
bellae) Husumnou adamtoste lactus bigurari; puta Lacerales, Lriangulares, lyra-
sequenti provoticiont Absuusa. LetC
Palet eriam, (in ueraque Tabellaz) series numerorum sic inventorum trans-
verlas caldem plane elle acque crectas.
FX dictis autem liceo propolicionum aliquor prxecedentium summam (nemve
midales, c. Ouod Cun  es oora, monunm sutetal.
de serie aequalium serie rac MCtata) in MMaH Laa CBHCtE quau
ROP. CXX.
Theorema.
L exponatur infinita series aequalium mulctata analoga serie Pri-
maniorum (vel si libet, Subprimanorum, quod tancundem ralet,
Sublecundanorum, Subtertianorum, etc. Relidua ipla, corumque
Ouddeata, Cubi Biguadrata, _c. eam cationem habebunt ad con-
sruam seriem aequalium, quam habet. Onitas ad numeros in subjecta
Tabella indicatos. Nempe
Du
Suopattorum
Sublecundanorun
Subtertianorum
Subquartanorum
Subquintanorum
Sublexcanorum
Subseprimanorum
Subolaranorum
28
3
20
50
80
120
5
126
2dC
T26
2F0
330
8
210
462.
330
702 j 7287
462 924, 2716 (3063 5005) 800
2002
3007
792 1726) 34326435 (L1440, 10448
165
220
495 12267,3003]6435172670,24.310 43750
9r5 1300315005(T24402432048620, 923781
Subdecmanoum 1 F (+11 60, 286 11001 )3003 80081 29448) 43758, 92378) 184 756)
Et sic deinceps.
Ejro
Subnonanorum
Sequitur ex praecedente. Numeruo aIEHI Lava Gu LMICdIUS elt a
prepatum ex duobus libi proximis altero Tursum altero ad dextram poticis.
Nocandum etiam elt, cundem prodire rationis consequenrem in reliduorum Oug-
dratis s auferantur Subtertiana, ee in Cubis si auterantur Sublecundana; irem in
Sextanis s auterantur Sublepcimana, ec in Septimanis li auterantur Subsextana; e
sic ubique, reciprocatis quali porestatibus, uc ex inspecta rabella patet.
Sed