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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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AREPEMEETCA PEOD. LACLLELVELI.
proreniens seriei Secundanorum reciproce proportionalis. Lula
(quod tancundem valec) series Aqualium per seriem Secundanorum; erir Peries
Et pari modo in omnibus ejularot c sons conc
02 2 242 4a2 9a 2 16a2
LROP. LZXXVIII.
CorollatEum.
Tinfinita numero plana (parallela) Paralle lepipedi, ad totidem rectas Ld
venientium erit reciproca seriet Primanorum, quae quidem rectae sunt suis a
vertice distantiis (vel, si placet, diametris interceptis,) reciproce proportio-
nales.
Esto enim Parallelexipedum, cujus infinica plana equentur quadraris coridem
rectarum Parallelogrammi ADt, quae l applicentur ad rectas Prianguli ADB,
prodibunt rectae (rectis triansuli et Parallelogrammi certiae provorcionales) tigu.
anculi (aequealti) applicentur; (vel si respectivis rectis Triansuli, C la
ralleloerammi. sumant a proporoales;) series rectarum pro-
5
nam ADB mixtam consticuentes, quae reciproce proportionales erunt tam hom-
Jogis rectis Trianguli (quia nempe cum illis conttituune rectansula aequalia,)
quam Diametris incercepiis, seu distantiis à vertice, quae (proxter Similia Frian-
sula abscicta) Tune illis criangul rectis proportionales.
L RO P. LXXXIX.
Corollarium.
Dem contineet, si Plana Pyramidis (quadratis rectarum Frianeuli ADF.
aequalia applicentur ad totidem Rectas Complementi Semiparabolocidis
Cubicalis ADBC.
Patet ex PrOP. 87. Nam (UE In DCOP. praeced.) series primanorum ex quibue
contlatur Friansulum, est uno gradu Luperior, quam feries N quatium ex quibus
constat Parallelepipedum: Sic (in hac Prop.) Series Fercienorum in complemento
semiparabolocidis cubicalis est uno gradu superior quam series secuncanorum ex
quibus constat Pyramis. Verobique igieur provenir series seriei Primaniorum
reciproca.
P ROP. ZC.
Corollarium.
Dem co si Plana  aladoeidis Parabolici (hoc est, series Pri-
manorum,) aequalia, quadratis rectarum semiparabolae A. L. respective
applicentur ad rectas complementi semiparabolae AD BP. (Seriem nempe
Secundanorum.)
Nam e hic index seriei dividemis unicace superat indicem seriei dividendae.
P RO P