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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 431, page id 851387705:0451
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PFOPCHLII. LNETNIEORAM.
S CHOZ IFVM e 4
Acque eodem modo facile eru vel has Tabellas, quonsque libet concinuaro; vel
alias etiam pro serrebus sequencibus componere; puca serrebus Ouarcanorum.
Ouimcanorum, Sexcanorum, eec. muletaris lerichus, quibusiber superioris pocellatis.
ut 
PROD CXEVEL
Theorema.
T exponatur series Subilecundavorum muletata serie Primanorum:
Residuorum Ouactraca, Cubi, Biguadeata, etc. ad seriem Aqualium
rationem habebunc CoGila. C it
Ct2C  ds tIE 
eit a Nenipe eam quae exhibens prOP. 133. PNCa sast C Mit euu
Retidua. Jdu Ouadraca
t Cubi.
V aD=YaZ Va V 2V a D FV aV~D 3Va D F3VaD = Va
ecc. 2d
esc. alque a+
ec. ulque ad
VDD VDE WVD = ZVVD FVDVDD =3VDD F3VDD VDS
EAVD EAVBEZAVII- EAVD TZADEAD3 =EAD. + EAD3-SAD
=22
3= 3 +6= 130 = 3
2. X 2
TX2
3 24 223 425 X6 3uauS
3- 5+3 8= 160.= 1o
2.X2X3
TX2X3
526KZHB ARSHOK7
M RO P. CXEVTFF A +
BICEANIEES e 13VS O Coropi C E
Dem contineet si series A quatium mulitata serie Sub secum danorum, duxa
cur in seriem Sub secutd ore.sust  ishC. 3. B S. Bs. BdE r. piet se ved
llid
(Puta li ordinarim applieata in serrsi parabola ducantur in eatunden contiru.
tiones in ipsius complemenco ). Nam VD. Vain va taciur ad Va= VaD-a.
eC. Ft tacta ab eorum gurdcatis, aequancur quadraris horum, ec.
P RO P. CXLTZ.
Corollarium.
Aer etiam; Fasdem provenire rationes, sive exponatur series a = a 186.
Sve series Va Y a 90. (vel V a a:)
Nempe collatis PrOP. 133. d 147.
n SC HIOL ZV M
Edeoque et reliqua quae poll PrO. 233. habentur Corollaria, huc etiam (muta.
eis mucandis) non ditticulier cransterri polsent. Quod monuisse Tutticiat.
P R OP. CL.
Theorema.
tiie
ET exponatur series Sublecundanorum muletata serie Radicum Oy3-
draticarum Torrianorum; Residuorum Ouadrata, Cubi, Biquadrata,
_c. ad seriem squalium rationem habebunt cognicam. Nempe
V. E
Ouadrata.
C
Cubis
3VB + 3VaD-1a
_C.
Residua.
Vad
aecitad
X
426xC
3nst
XXI
E L OF.