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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 418, page id 851387705:0438
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ARTTHMETICA
Prov.
_cc. proportionalia.) Ideoque ( supponames semiparabolam ita sectam sic in le
replicaesu ut punctum P puncto A congruat tocusue sexu MLO transte.
ratur in licum M Aco, (ut ordinatum applleala interioris lesmenti ordinatim ap.
palebit.
l
vleabio superiorio ivetse selsondedi p  rat ceditu
 S. CCLALCaLLONC
1:
V: R -
0.
V: R
I: R
V: R -0. Y: R
a
L 2. a.
V. l -
V. L = 3a
V: N = 44. Y: N =9a 
desiicit 
FToruM ISIEIE OMMMIM agGCGaC au Maxum (V: R2 -0.VNR
toties potitum, (HoC C tostaum provolvum ad Parallelexivedum ejusdem balis et
alricudinis,) ut Circulus ad Ouadracum Diametri per Praced. P. F propterea étiat
mediae proporcionales erunc in subelliplicala racione ordinatim applicacarum ipt
circuto vel ellipti, ut patet.
PROP, CZXII
Corduut cato.
0515t
ad Cytindrum (vel Prisma) circumseripium; est ut series infinita aequa-
num mulclaia serie seculunorum, ad seriem rocidem mavinio aequalium.
Sequitur ex PrOP. 1ZL. Nam si mediae
proporrionales inter diamerri segmenta,
quadrantem circuli (vel essipscos) com
plences, jam tieri supponaneur cocidem
aliorum circulorum invicem parallelorum
radii, semislem Sphaera (vel Sphaerocideos)
complencium, (vel smilium quorumris
planorum rectae similiter polia semi pu
ramidocides FIlipeicum constimentium:)
erune hi cireuli (vel plana) in dupli-
R - 4a. R =0a _c. (Tunc enim rectae illa V: R =0
V: R = 4 a. V: R = 9a SC. Per PFOB, 1Z1.) Ideoque hOruI
omnium axprexatum, ad assrexacum ommium maximo aequalium ut 2 ad 3. per
Loc est ut 2 ad 3.
CsEd 1S : 21133Bev
Temq Sphiera (vel Spheroeides aut eriam Dyramidoeides Fllipticum
c15
Ut R.-
I: D2.
0
DrOD. 1I8.
cata ratione Radliorum Tuorum (sire rectarum similiter potitarum:) Hloc est
ROP. CAXIV.
Corollarium.
Tem, si Frianculi ADB recta respective ducantur in rectas Trapezii
ADB (aeque altr, ique ut so Lriangulo Paralleloorammum com-
pe) qua Podeun rectangula erunt aequalia tonidem similibus plats
Conoeideos (vel Pyramidoeideos) Flliprici: et mecu proportinales DF
DE, Oc. Frunt ordinatim applicatae in (Cireulo, vel saltem) Fllipsi.
Demon-