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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)
# Folio 392, page id 851387705:0412
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LL L LLAI ACL LSCA
PFOD. L. IX.
aequalia, eam quae est F ad +3, vel 3 2d5. Ouia DeMDE L, 23, 23, vel 3, 3, 3
lunc Arichmerice proportionalia.
Pariter, seriei lubquartanorum cubi, vel (quod tancundem est) radices biqua-
draciea seriei cuborum vel certianorum; rationem habebunt ad seriem A: qualium
ut 4 2d7. Cum enim series (ubquarcanorum rationem habeat in Tabella L ad F L
vel 4 ad5: eorum cubi rationem habebune (ad seriem tocidem maximo aequa
Lium) uc F ad F3, vel 4 2d7. Ouia nempe F, F4, 2Z, 237 vel 37 43 2, 3
lune Arichmerice proporcionalia, licur Unitas, Radix, Guadratum, Cubus, ecc.
Tune Greomerrice provortionalia.
Et similicer in porellacibus magis adhue compoliuis; pura Radices quadratiex
cuborum seriei Cubquincanorum. Itam seriei subquincanorum conrenit ratio L ad
22, vel 5 ad 6; ergo eorum cubis conreniet rario F ad F3 vel 5 ad 8, (quia nem.
DE 2, X3, F3, 23, vel 3, 5,3,3, lune Arichmerice proportionalia;) et corum
Radicibus quadraris, ratio F ad F,3, vel 10 ad. 13, (quia nempe F 3 est medium
arichmeticum inter x ad F3, Tunc enim 1, 1 13, 2 6
= 13) vel 183 10, 18(= 3
Arictmerice proporcionalia;) Vel eriam cum radices Ouadrariea subquineanorum
lint series subdecimanorum; cui convenic ratio 20 ad EF, vel F ad F o: Farum
radicum Cubi rationem habebunt eam qua elt F0 ad 23, vel F adt 2 1: OUIa L, L 107
2133 2B, vel 18, 15, 13, 18, sunc quatuor cermini Rrichmerice proporrionales.
arque eodem modo, in seriebus aliarum P’oceltatum urcunque compolicarum.
carundem ratio ad seriem aequalium, inrellisabitur. Adeoque
P R O P. L TZ
x incellisatur series intinita quancitatum, à puncto leu o incto.
 carum, e continue crelcentium pro ratione porestaris cujulris
ex simplicibus (PrOP. 44 _ 54 memoratis) composiex; erit totius
ratio ad seriem totidem maxima aequalium, ea qux sequieur in hac
Zabella, Nempe
Theorema.
 SCTICI
Quactatic
Beccii
S C
ALISee  
13
ve e
3
1.
131
et
e s rre
Bote
Cubiex
Biquadrat.
Supertolida
Sencanae
Seprimanae
Octaranae
NOnanX
Decimana luo l1e. ve l 13 ( V lV
Ex sic deinCcBS.
re
22 22
PROF