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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 433, page id 851387705:0453
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Pxop. CBIY.
TNFTNLTOROM.
P LOF. CLL V E
Theorema.
P.D Ariter, St exponatur seltes subtertianorum mulctata seriee Prima-
Lenorum, Sccundanorum, Tertianorum, _c. vel Radicum Cubica-
rum Secundanorum, Ouartanorum, Ouintanorum, Septimanorum, sc.
Residua ipta, corumque Duadrata, Cubi, Biguadrata, ec. rationem h2-
bebunt, ad seriem squalium, eam quam indicat subjecta Tabella.
Nempe
1111OI.
Ferrianor.
Kacio quam habent ad seriem A quatium
Ret. Ouacrata.
X4. 
5X7X9
16
SXBXTL
T2 X8
Cubi. I. re Biguadrata. d.
113 X 2, X 3 01
8X7X8X9
19103X2X33
ZXBKOKTO
AICI
_P 6X4X6hβDE OX4 X6X8 11
SEBRIORIZZKOKLLKTSKIS
oubto
ORBRONIE
6XOXTZ ZF5 7XTOXT3XT6XT9
T2X8XT2 ZZXBRTZ X TC
X 8) SXOXFZ 6XTOXTAXLBI7XTLXISXFOX2:
Z5X7OX 75,) X5X 1OX15X2C
FAIBINXTOXES OXTZXISKEEBZXERXN7 X22X27
148, 18xY2 1) 18XT2X 1B sf 1BX L2 X 1Bx 24
AXEOLSXTZXEZ SXTZXL8X24) 7XT3X FOX25X3F
2F PL ,2F X 14 2YX F4.X2TC, ZEX L4. X 2T. X28
AXLZ S, XLZXY9 I8XL3Y2OX27 7 X L4X 2L, X 2OX 35
2t
24X26 24XT6X24) 24XL6X24X32
E
(4X72(5XT3 X2Y (6YF4X22. X 3O(ZXYSN23X 3EX3Dd
Et sic deinceps, ue inductione paret.
SC HO =Z0 I.
rorn
Ft simili methodo non erit distieilé dt has Fabellas quousque libet concinuare.
et alias eriam pro seriebus aliis: componere; Duca. senietus subquartanoxuns Cub-
quincanorum, ec. f auc quidem radicum quadracieirum subcertianorum, fybquin.
canorum, Sc. vel radicum cubicarum sublecundanorum, subsquartanorum, c.
auc aliarum similium) muletatis seriebus, quibullibet luperioris poceltatis.
Sed e Facile est has Pabellas (aliasque similiter condendas) inerpolate, Tal
rem quoad alticudinem, incerponendo sexies pransversas quorjbet, uc ex ipla Ta.
bellarum progrectione rire considerata pareBs.  1
exbi oratia in Tabella PrOP. 144. Si series Primanorum mulctetur serie Ra.
dicum g
series alia transversa incer primam st sccundam istius Pabella, (quia nempe Raci
ces quadrarica Ouincanorum, quarum index est 3, vel 23, medium locum ha-
bent inces secuncana e tertiana, quorum indices Z et 3;) eriique teries Illa,
2
2
a
E
ic
25, C pl, L5 X 1O
Relidua.