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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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ARETHMETICA. PrOP. CLL. V.
P R O P. CXLV. Theorema.
Cimiliter, Si exponatur series Secundanorum muletata serie T’erriano-
rum, Ouartanorum, Omintanorum, Sextanorum, _c. Relidua ipla,
corumque Ouadrata, Cubi, Biguadrata, XC. rationem habebunt, ad
Periem Aqualium, cam quam indicat subjecta Tabella. Nempe
3
Oumcar
SC XCatL.
5 Seprim.
Racio quam habene ad seriem aequadium
Rel. ) Quacrata. 
1
CX2
15102)
2K4
Cubi.
Fx2X3
Biquadrata.
EX2X3X4
ZXBKOX1O OXTOXTIXL2 X13
2x4X6
2X4X6+8
SNZXO ,ZKOXTLRIZ ORETKTSETSLE
3X
3X6X9
ZX6X9XT2
3X6SXBXTE (ZXIOXL3ZT6IOXT2XE5XIBX2TC8
(3X7
4. X8
4X8XI2.
4 XBX IZX16
SYORE3I LZXLLXISKTOIONLZKE7 X2EX25 
-5X10 - SXTOXY5
-SXTOXTSX2O
13X8)SXTOXT5 ZXY2XT7X22 9XT4XT9X24. X29
3C GEq ilsp= 6 s1 BXFZ i p. 6XT2X 18  L16NI2X18X24
sudsi osit BCBC(3XOSXEEXLZ YXL3XF9K2GI9X DSRXEX 27X33
usis dmt
latii inim it lic deincepe, uc inductione parebiti, ii siliti
PROP. CXLVI.
Theorema. siu
Tem, Si exponatur series Ferrianorum muletata seric Ouartano-
rum, Ouintanorum, Sextanorum, etc. Relidua ipla, corumque
Ouadrata, Cubi, Biguadrata, ec. rationem habebunt, ad seriem
aqualium, eam quam indieat subjecta Fabella. Nempe
Septuat.
B Octaran.
Racio quam habent ad seriem aequalium
Rel. Ouadrara. )
F
Cubi.
TXZ 1 TXZX3
Biguadrata.
TX2 X3X4
4X5) ZXBX9 TOXLEXLZXT3 TZXT4XF5XYX17
2 2X4.
2X4 XC
2X4X6XB
4X6) ZROXEF IOXLZ XT4 X X6, T3XYSXP7 X Y9X2
3
346
3X6X9
3X6XOX12
427 7RIOXL3(1OX1316X1913R 26~L9H 22
+1 4X8 4XBX12 4XBXT2. X16
4XB ZXLTX25 YOXX4XL8X22 (23XZ7X2LX25X29
-3 ) 5Z1O SXTOXIS SXTOKESX2C
4X O(7XTZXX7 sTOKZ5 X2OX25(F3XL8 X23 + 28X 33
Ht hic deinceps, ut inductione patebit.
3
c
SC+2O.
X
Tercian.
Ouaee
VMattaM.
Ouincan
Sextan.