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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 403, page id 851387705:0423
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TOD
ENFLNLTORO
ea0L. L42412.
Corollarium.
SImiliter. Si respectiors rectis Trianculi ADB, C3 Semipurao AH F.
 sumantur tertia proportionales, prodibit Parallelozrammum  B:
respectivis rectis Paralleloerammi BD, C Semiparabolae AD F, prodibit
Frianculum ADB: si respectivis rectis semiparabolae primae AD B, Cs secundae
ADF, prodibit semiparabola tertia AD B: C sic in aliis.
Sequitur ex praecedente. Ouadrata enim rectarum in semiparabola, constituene
Pgramidoeides Parabolieum. Oltendicur, in tis. praeced.
SCHOLYV M.
Et pari modo de aliis Feurarum folidarum ad Planas axplicarionibus respectiris
judicium tiet Sufticie paucas exempli caula indicalse, ad quarum imicarionem fieri
Postunc innumerae aliae.
P R OP. LZXZVIL.
Theorema.
EF PrOxOatur series quaelibet praedictarum per aliam superioris
Gractus seu Potestatis diridenda, nulla jam memoratarum series
prodire poterit, (cum index porestatis superioris ex indice potestatis
interioris, major quipre ex minore, anferri non POL:) Sed aliusmodi
Plane Series, cujus nempe termini sunt reciproce proportionales ho-
molosis terminis alterius seriei, qua indicem habet aequalem excellui
indicis seriei diridentis supra indicem Serici dirila.
Series aurem sic provenientes, Scries Reciproca appellantor, habe.
ancque indices nesatiros.
Fxempli gratia. Si series Secundanorum dividenda sic per Periem Terriano.
rum, vel series Primanorum, per seriem Sccundanotum, vel series Ai qualium per
seriem Primanorum, (uhi leries diridens est uno gradu superior serie dividenda
adeoque index seriei diridentis unitare major quam index seriei divila, puta
2 =
T - O = F:) Termini serici oriundae crunE RCCIPTOCC PFOPOT.
cionales homoloxisrerminis teriei Primanorum. Puca si respectire dividatur
Peries
Oa2, 2a2, 4a2, 942, 1642, ec.
per leriem 043, 207 84, 27a3, 64a3, ec.
vel series
Oa, Ia , 24,
34, 44, ec.
Der Periem Oa 2, 2a2, 442, 9a2, 16a2, ec.
vel Peries
2
ec
per Teriem Oa, 24, 20, 34 3 41 7 C.
Da 2a 24, 3a3d  4a, dc.
cujus teriei cermini sume reviproce proporiionales homoloris cerminis seriei prima.
norum 
ubique.
a 3a 4E, c. ut putet. Nemre 2 a 3 a
3
Eodem modo  series primanorum dividenda sic per seriem tercianorum; vel
F. CC 2
(quod
+
E
22 F He