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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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ARITHMETICA
Nam (per principia Mulica) eadem chorda (aequabilis de aequaliter tenta) So-
PrOD. XCVII.
+06
AD, AD, eC. loni eruNE vE DB, DB, _C. per PrOP. 88.
nos cdic longicudinibus reciptoce proporioales. S  CMoa LIIL HL
lAOP. XCYII
Corollarium.
plana Parallelepipedi (quippe serres aequatium) aequalia quadratis re-
ctarum Paralleloerammi AD F ad respectivas rectas Complementr Se-
miparabolae ADB (Seriem scil. Secundanorum applicentur; prodibit
tur conslari fieura plana ADB, erit ea interminabilis; co curva illas ter-
minans duas habebit Asympioras rectas AD, 4d.
series rectarum Secundanis reciproce proportionalium: F quibus si suppona-
Probatur Codent odo quo propoticiones aliquor prxcedentes de lexie reci
Proca seriei Primanorum.
PR OP. XCVIII
Corollarium.
Dem contineetus s plana Legramidis sic applicenter ad rectas complemente
send paraboloerdis Seguudraticalis: vel plana Pyramidoeidis Parabolier
ad rectas complement Paraboloeidis Cubicalis.
ersitr
Nam e iltic index seriei diridenris binario superat indicem seriei dividenda.
PR OE. XCTZ
Corollarium.
N ejusmodi serie secundanis reciproca, rectae DB, aB, Cc. sunt in reci-
procae rationis Diametrorum (vel distantiarum à vertice) ratione dupli-
catam (sive ut d A9, D A9, B5.)
Ouia nempe reciproce proportionales sune rectis DB, AB, dec. quae sune in
diametrorum AD, A d, dec. rationis directae ratione duplicata. Puta
A
B
DAG de
P R OP. C
Corellarium.
N tieuta patao (A DB(3) ex serre rectarum Secundanis reciprocarum
constata inscripta Paralleloeramma (ADB, A d B,) sunt interceptis dia
metris (D A d A) reciproce proporcionalia.
Sune enim (per 23. C6) ut D A~DS adt d A ndL st duiem (per praced.)
dB