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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 415, page id 851387705:0435
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PEOP. CXVII. TALLATLOROM.
Puta si cermini L N FY 8 a
continuentur ad VR ZV R
CNIE SuIA AYN FZ AVP
Hoc est, Relidua X - 3 = 3
AECreGata
Et Similicer (mucatis mutandis) in aliis quituscunque.
P ROP. CXVII.
Theorema.
R ZV Oa
P. FV La
VR F V 27 a
_c. 2d
13R = V3O a
V I FVTa
V3R
134 d
VR2 F 139a
C. ac
V3R~ Z VR
VPA = V3 04
V3R
Y3R4 F V3 76a2
VR F V8Za
ec. ad
BR = V R
AYN FZ ANK ANRI FZ aY P.
T exponatur tereS Agnalium muletata terre Primanorum; RCt
3 duorum Ouadeata, Cubi, Biquadrata, 8c. ad seriem toridem co-
rum maximo xequalium, rationem habebune cosnitam.
Placet autem pro noris T, a, 2 a, 3 a, _c. (in praecedentibus proposicionibus utur-
pacis) jam sublticuer: an by cy dc. quo melius operationis proceltiis perspiciatur.
Serie
dc.
AR - : AC (A l = 2 A R + i a 
nemDC F = =
vel
A8-3 L, f32 aat
Fir sje deinceps, concinue mulciplicando nunieros Rrichmerice proportionales.
prouc pocectacis gradtus postulac) ab L e 2, unirare conrinue crescentes.
tit qualem nihil sunc quam coridem series Primanorum, Secundanorum, Pex-
tianorum, Guarcanorum, dcc. InveriX.
FROP. CXV
Theorema.
F exponatur series Aqualium muletata serie Secundanorum: R esi-
duorum Ouacraca, Cubi, Biguacrata, ec. ad seriem toridem corum
maximo aequalium rationem habebunt conicam. Nempe
Ouadrata
Praca.
L
aR
EC. dc
F
R3-
R3.
R3
R3-
0 R2 + 00k =000
BF
EC. 20
R2 = 3RR F 3R R =R3
X2
X3X4
k0
R
Cubi
3a2 R+  34 R-
bR+ + 364R2
36R + F 3∞+R2.
_c. ulque ad
R = 3RR
LR
aL - 2a P +: a f. - , a d
14XC
R
R6
Scriei
dec. 
R2 = BOR  c2
R2 = 2 R R L R2
R+ =00R 2 LOC
summa AP. - iA
net De
L 2a l
R4 = 2VR +
L = 262R F6
cC. usque ac
R4 = 2R W F R
e -14 2 + i aV
00R. f00R2 -00
R