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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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LNEEALTOROM.
EROP. LVI.
Corollarium.
TCII. Planum Semi-paraboloeidis (vel eriam Laraboloeidis) cubicalis.
est ad Parallelorrammum circumscriptum, ut 3
ad 4. (C consequenter, ipsius Complementum, est ad
idem Paralleloerammum, ut X ad. 4.)
Cum enim (per 45. PFOB. COn. Sect.) ordinatim
applicatae in Parabolocide cubicali sinc in suberipli
cara racione diametrorum (sive diltanciarum a ver-
ticc,) erit planum ex illis omnitus conflatum series
subcercianorum; qua se habet ad seriem cotidem
maximo requalium, (hoc est, ad Parallelosrammum
circum (exipeum,) ut xad FZ, live uc 3 ad 4. (EL con-
lequenter, iptrus coliplemencum, nempe paralleloeram-
n relicuum, elt ad idem Pacalleloxrammum, ut L
a 4.)
PROP. LVII
Corollarium.
Odem modo, Planum Semi paraboloeidis (vet Paraboloeidis) Biqua-
draticalis, Supersolidalis, aut superioris cujusvis potestatis, ratio ad Pa-
ralleloerammum circumscriptum nota erit; puta ut 4 ad. 5, 5 ad 6, 536. (Et
consequenter, ipsorum etiam complementa ad eadem Paralleloeramma ratio-
nem notum habebunt; puta ut E ad 5, X ad 69, 896.)130 
Sunc enim illa plana series subquartanorum, subquincanorum, dc. ideoque, ad
series AEqualium, uc 4 ad 5, 5 ad 6; _cc. e consequenter, eorum complementa
(quae quidem sunc serics Duarranorum, Ouincanorum, eec.) uc X ad 5, 2ad 6, etc.
SC ZIO L ZV M.
Adeoque de per hanc etiam Tabellam, ticet Parabolarum, et Parabolocidium
cubicalis, biquadraticalis, aur superioris cujustiber poreltatis, e corundem etiam
Complemenrorum, aream invenire: quod pollicius tum ad Prop. 48. Con. Sect.
_e supra praestici ad PrOp. 45. hujus.
eR OP. LVITI
Lemma.
Anaert ope ejuscest Regulae (prop. 46.) Si proponatur ejutmoci
series intinita quancitatum, a puncto rel o inchoatarum, et
continue crescentium, pro ratione Potectaris (non simplicis tantum
cujulris, sed _) compositae: ratio quam habet illa ad seriem tocidem
maximae aequalium, inrestisatur. Puta Guadrata, Cubi, Biquadra-
ta ec. Sublecundanorum, Subtertianorum, Subquartanorum, etc.
aut etiam secundanorum, TeKLIANOTUM, GUAEEaNOTInI, _C. Vel Ra.
dices Ouadraticae, Cubica, Biguadraticae ecc. Sccunclanorum, Tertia-
norum, Guartanorum, ec. aut Sublecundanorum, Subtertianorum,
Subquartanorum, _c. Aut etiam Sexies alix quocunque modo com-
DOIta.
1
LaClapli Fracia. Cum Teries lubtercianorum (Puta Y CO, VCr, YC2, VC3, Ca)
rationem habeane (ad seriem cocidem maximx aequalium) eam quxe clt 3 ad 4,
seu xad F3: Porum quadrata (quae eadem Tune es radices cubica secundano.
rum, Puta Y CO, Y CT, VC4, Y Cd, ec.) cationem habebune ad coridem maxima
2qualia