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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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LRITHMBLICA
In Supersolidis aurem = =B +
m
B-
m
 127
B+
F2. 12
221
22P73 = 6m 13 + 3 m I F L. m L - 1 m12.
Yet  13 +
In Serranis, seu Cuborum Ouacracis,  =15 p 5L + 5 p. L. 2 + 2 p -
+
1+ B
2p. + = E1. Vel m Vo + E. m 13 + ;m Ia - : mL -  mD + = ml. FL
Paricer in sequencibus: ut ad prop. 182. doccbitur
Sed (quod nobis hic sulticic) ad debiram rationem ita concinue maxis accedunt,
ut candem disserencia cradat quaris allignabili muinor.
SCHOL TV M.
Si quis aurem cupiat rariones hujusmodi, veuc incricatas, quae seguencibus serie.
bus tinicis quibuscunque conreniat, (puta in sepruplicata, octuplicata, Scc. ratione
Arichmeriee proportionalium) invenire: quomedo illud tiac intra dicetur in Schol.
PrOP. 182.
PROP. ALII
Theorema.
PFOP.XLIII.
Deoque Si uCelSatur leries intinita quantitatum, a puncto sell DM-
choatarum, e continue crescentium pro ratione vel Arichmetice.
proportionalium, (quam seriem Laceralium sire Primanorum appello,)
vel eorum quadratorum, cuborum, biguadratorum, ec. (quam ap-
Dello seriem Secundanorum, Tertianorum, Duartanorum, _C.) Frit totius
Teriei ratio, ad seriem toridem maximae aqualium, ea quae sequieur in
hac Fabella. Nempe
Aqualium
Primanorum
Secundanorum
Tercianorum
Ouartanorum
Ouincanorum 8
Sextanorum
Seprimanorum
Octaranorum
Nonanorum
Decimanorum 
6
Vet
t sic deinceps. Ia ut tractionum Denomnatores, ue Conlequentes
ratiolum, sinc ab cale Ac Poae Co Al-
tem sive Numerator sire Antccedens L.
PRO P. XL
Corollarium.
Ine discimus methodum invemendi ateu compleett L’ut abolae
Paraboloeideos Cubisalis, Biquadraticalis, Surdesolidalis, aut superio-
ris cujustibet potestatis; (3 consequenter, etiam aream Parabolae, aut Para-
boloerdeos cujuscunque potestatis. Duod ostendere pollicibus sum ad Prop. 48.
Con. dect.
rum. (uc diximus ad PrOP. 23;) complementum Paraboloclais cubiealis (vel semi-
pacaboloerdto,) terreo texcianorum, C uc diximus aet BCOB. 42;) acque (eadem
ratione)
Nemve, cum complementum Parabolxe (vel Semiparabolae) sic feries secuncano.