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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)
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ARLTHMETICA
ExOp. Cil il.
PRO P. CLI. Corollari.
Dem continzet, si serres A.qualium mulitata serie Primanorum, ducatur in
seriem Subsecundanorum.
Ouia D = a vel V D = V a in Y a Facie DY a = a Y a, vel V a D = V a.
SC TTOF TV M.
Ex simidicer etiam alibi incelligendum est, ubi series expolica diridi postie, in duas
rel plures componentes.
itc
eROP. CLI.
Tbeorema.
T exponatur series Subsecundanorum muletata serie Secundanorum;
Residuorum Ouadrata, Cubi, Biguadracan etc. ad seriem Aqual
um, rationem habebune cognitam. Nempe
Relidua.
Ouadrara.
Cubi.
VaD =Ya Va D = 2Y a D + Va Va D = 3Ya D F 3Va D3 = ya2
Ec
_C.
4.X7 X1O
et
_c.
24
5160 1546
6X6XO
SXBXTEKT4
ENEC deineeps. Ec simmilices in subdluetione seriei cujutvis porestatis superio.
ris. Adeoque
PROP. CLMT. Theorema.
CT exponatur series Sublecundanorum muletata serie Primanorum;
Secundanorum, Tertianorum, Sc. vel Radicum Ouadraticarum
Tercianorum, Cumtanorum, XC. Relidua iplas corunque Ouadrata,
Cubius Biguadeata, ec. rationem habebune, ad seriem squalium, cam
quam indicat subjecta Tabella. Nempe
Racio quam habent ad seriem A. qualium
Residua) Ouacracaj Cubi
2X2
5X4 4X5 X6
T2
424
27223
Biguadrata
2X2 X3XC
SX6X IXB 6X7XBX9XTC
4X 4. X6.)
4X4. X6~8
4X6x8 SXZXOXTF 6XBX TOX LZ X L4
676
6X6XO 6X6XOXTZ
4X7XTO ISXBRTLXI4 OXOKTZXF5XY
878
BXBXL2 8XBKT2X16
4XBXT2 SXOX 13XX7 6X2OXL4 X LBA2. 2
1OXZO IOXTOY25 LORYOX15X20
4X 9X Z4 SXTOXZSXZOOXZZXZ6XZ FX26
IZXT2 T2XT2X1B 1ZX T2 XTBX24.
3X9 4RTOXI6SXLEXZ7X236XTZ X TBX 24. X 30
24 24XF4 24. X24 X2 F 24XX4X2FX28
A
3x 10 4X TZXZBISXT2XF9X266X13X2OX27X34
Et Ec deinceps, ut inductione patebit.
XC
X
3
Pxitmanor
V2
Fcltranor
et Y Sepii
Duarran.
PROP.