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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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AL L L L FT ME H FTCA
P RO P. L XII.
Corollarium.
ATque exinde etiam patet methodus ad aequalie Cylindros e Prismata
reducendi Conoeidé a C Pyramidoeidea omnia Paraboliea  Parabo-
locidica (non modo qualia memorantur prop. 50, ubi planorum ordinatim-
applicata procedunt juxta rationem simplicis alicujus pocestatis, sed es) etiam
quae aptantur ejusmodi Parabolocidibus, (qualia memorantur prop. 6L.) quo-
rum ordinatim applicatae procedunt juxca rationem seriei alicujus potestatis
composita.
tirempli gracia. Si Parabolocidis ordinatim axplicarae sine in diametrorum ra
tione lubiriplicatae duplicata, (vel suberiplicata duplicacae,) erit iltius planum re-
ctarum series intinica in ratione radieum cubicarum secundanorum: d propterea
Conocides vel Pyramidocides erir leries coridem planorum in carundem rectarum
ratione duplicata, ideoque radicum cubicarum Ouartanorum; _E PTOPterCA (juXIA
tabeltam PrOP. 50.) ad Cylindrum vel Prilma circum seriptum, ut 3 ad-
Trem, si Parabolocidis ordinatim applicarae sine in diametrorum ratione subqua
deuplicatae criplicata; crune plana Conocidis vel Pyramidocidis, in carundem dia
metrorum rarione lubquadeuplicatx sexruplicata, (lire, quod rantundem valer, sub.
suvlicatae criplicata,) ideoque Conocides vel Pyramidoeides illud (ex iltorum pla-
norum serie contlatum) ad Cslindrum ret Prisma circumscripcum, uc + dd 20, ret
2ad 5.
Et paricer in aliis juxta tenorem Pabellae.
PROP. LXI
Corollarium.
Odem modo; Forundem Semi- Paraboloeidium complementis aptata Conoei-
dea Pgramidoeidea, ad aequalia Cylindros e Prismata reduvuntur.
Exempli Etacia. Si semi paraboloeidis complementum ordinacim applicatas ha.
beac in diamerrorum rarione subduplicatae criplicata, erit planum illud rectarum
series intinira in rarione radicum quadraricarum Cuborum sire Tercianorum, et
proinde Conocides vel Pyramidocides buic aptatum, erie series coridem Plano.
rum in carundem rectarum ratione duplicata, adeoque in diametrorum ratione
subduplicatae sexuplicata (seu, quod cancundem ralet, in diametrorum ratione
triplicata:) exic isitur ad Cylindrum vel Prisma circumleripium, ut 2 ad 8, vel X
ad 4.
Trem, si semi parabolocidis Complementum ordinarim applicatas habeat in dia.
metrorum ratione Luberiplicarae quadcuplicata; erunt plana Conocidis vel Pyrami
docidis in carundem diamerrorum racione subcriplicacae octuxlicata; et PrOpierea
uc radices cribica octaranorum; adeoque Conocides rel Pyramidocides illud, ad
Cylindrum vel Prisma circum (exipEum, ut 3 ad FF.
Let Palitet de aliis judicandum est juxta Pabellam praemistam.
I
PxOD. L. 
C 11O L. LVL.
Docuimas ssuur, quo do Parabolae dt Parabolocidea omnia cujuleunque se
peris, e eorum Complementa, ad Parallelogramma: FL corundem Conocidea ee
exramidocidea ad Cylindros e Prismata; reduci poltunt. Adeoque innumera PrO-
blemata solrimus quae nemo (quancum scio) anrea lulcepie, nedum exequutus
Placet autem adhuc ex Fabellis omnibus praecedentibus (ProP. 44, 54, 59.
hocunirertale Theorema collivere, (quod quidem conrenit cum Regula PrOP.
4V.) Nempe
eAOP