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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 429, page id 851387705:0449
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PrOP. CXLTTT. INETNELOLUM.
(Puta, si rectae Parabolocidis Cubicalis diametro Parallela, dueantur in rectas
Frianguli inseripei: Nam earum concinuationes in Complemenco, sunc series Fer.
cianorum. Et similiter mutaris mucandis, in aliis propolicionibus.)
Ouia nempe D = a in a est a D -
SCF2OL ZV M.
Et pariter judicandum eric, mutatis mutandis, in aliis quibusvis catibus, ube
Teries hujusmodi componitur ex duabus rel pluxibus aliis seriebus inricem mulii-
Plicaris. VE Patet.
PR OP. CKLTTI.
Theorema.
Dariter; Si exponatur series Primanorum muletata serie Ouintano.
Lrum, Sextanorum, etc. Residuorum Ouadrata, Cubi, Biquadrata,
ec. ad seriem Aqualium, rationem habebunt cognitam.
Pura 4
428
4X8XTZ AZBRTEETS
eet
246 ZRZREE AUBZEEHTS GRONTZZTREE
5X 1O
SXLOX15
5X1OXZ5X20
LXZ 3XBRT3 AROXTARHO GRTOKESLLON2S
ec
Ectic deinceps, ut potestas seriei ablatae postularerir: Prout inductione patebit.
Ideoque
PR O P. CXLIV.
Theorema.
Texponatur series Primanorum muletata serie Sccundanorum, Ter-
Otianorum, Ouartanorum, ec. Residua ipla, corumque uadrata,
Cubi Biguadrata, erc. rationem habebune, ad seriem squalium, cam
quam indicat subjecta Tabella: Sire, quam habent numeri Tabella,
adOnitatem. Nempe
Reliduas Guadrata.
Cubi I Biquadraca.
TX2X3
4X5X6X7
2X4 X6
AXOKSKEO
3X6X9
4XZ XIOX23
4X8XT2
4XBXT2 X16
SXTOXTG
4X OX T4X +O
6RT2X18
SXCKZZBNS
2X 4. X6XB
SXZXOXTEXIZ
3x6X9XY2
SXBXTTX24.L
4XBX IZX
SXGXI3X27XL
SXTOXISX2C
ISXTOXTSXZOX25
62 12X 18X 24
4XTOXI6X 2Z ISXTIXT7X23X29
7XT4XZE I ZXT4XZTX28
229 3xrox L7L4YCLYLBYZS (5XF2 X[9226~33)
Et lic deitceps, ad uluctione patebit.
ThH 3
X
Sccunda
3X 4. X)
r
c
S
Dep
3A5X.
3X6
3X7
328
2x8(329L
6XT2
Oeturam.
7XIC