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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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LDRITAMETICA LCOP. CLLAAII.
PCOP. 43. Taltem si prius ulterius prolecuri fuerimus cradirionem rationum quas
habent seriestinitae Ouartanorum, Dumranorum, Sexranorum, (cum lequentibus,)
ad Teries A qualium; quam craditionem non nisi leriter innuimus ad prov. 43. Fam
vero liquis ulterius continuandam velie, licebit ipli vel alia quae libi maxime pla-
ceat methodo id praeltare, vel etiam (nili meliora ipli occurrant auxilia) opc hu-
jus iplius quam jam prae manibus habemus Pabella, poltquam ria mox docenda
oltenderimus rationes numerorum tiouratorum ad luum cujullibet latus in le-
quentibus seriebus inveltisare. Nam ut ad prOP. [76 _E F7O, CX CONNILIS FaTIO-
nibus limplicium scrierum tinitarum (puta Primanorum, Secundanoxum, Lexta-
norum, per proD. 2, 20, 40. ad leriem. Aiqualium) inveltisantur rationes hujus
Tabellae (puca numerorum Priangularium, Pyramicatium, Prianguli eriangula-
rium, ad lua respectire latera:) ica, rice verla, ex cooniris his licebit de illas ex.
piscari, adeoque illam proxolicioms 43 tracttionem quousque libet continuarc.
Nec quidem necesle sic ad praelens inllicucum illud ulterius prosegui, cum ex
cornitis paucarum iltius Pabella serierum characteribus (Eve rarionibus quas nu-
meri isti figurati habent ad sua respectire lacera,) sequentium eriam characteres
inrestisandi methodus eluceleat, c80 illa ut tacrliori jam utar, quae haec clt.
Monadicorum L.
Faceralium 
Friangularium
Pgramicalium L + 3V F 2 L. Prianguli riane, 2o + 613 4 21 12 +67
Patet etiam, accuratius inmenci, characteres hos fieri continua mulciplicatione
harum quancitatum,
1. F 2 1F
(7 X F G _ 1 C. . 4
E. dec. Net
2
In
M
Ouoniam aucem illud (uc dixlulis) o  seviter tracticum etE adt pFOP. 42.
Pacet ex praemissis, character eriei numerorum.
2
in 1+ 2 in l. + 3
13 + 312+2
13 + 31 + 21 , 1+ 3
12 +61 + 12Y +61
Adeoque, S concinuetur ulcerius mulciplicatio rationis ultimo inVenEx in
+5
1
7
c. nabebimus sequentium Serierum Maracteres.
1151
Puca. 1. H 101. + 35 1. + 501. + 241
c
Icem  = 251. + 852 + 2251 +274 1 + 120
Ttem
2+2230 + 2751 + 735 12 + 1624 1 + 17641 + 720,
Et Sic dcincero, quoulque libet.
5040
SC FOL EV M.
Tivimus modo, ex rationibus sive characteribus praesentis labella concinuatis.
deduei posse continuationem etiam rationum illarum quas indicat prop. 43. Ouo-
niam vero illud Fortalle non eric omnibus obrium: operx pretium duxi paucis id
in transitu oltendere. Ouod quidem uc sine incommodo hc Pottic inseri, ita qui-
buldam tonlan ingratum non erit. Idcoquem exempti slalian
Propolicum